Time & Work - Maths By Arun Sir

26
219 TIME & WORK TYPE-I 1. A can do a piece of work in 6 days and B in 9 days. How many days will both take together to complete the work? A ,d dke dks 6 fnuks ea s rFkk B 9 fnuks es a dj ldrk gSA nksuksa feydj ml dke dks fdrus fnuks es a iwjk dja s xs \ (a) 7.5 days/ fnu (b) 5.4 days / fnu (c) 3.6 days/ fnu (d) 3 days/ fnu 2. A, B, and C can complete a piece of work in 24,6 and 12 days respectively. Working together, they will complete the same work in A, B rFkk C ,d dke dks Øe’k% 24, 6 rFkk 12 fnuks a es a dj ldrs gSa A ,d lkFk dke djds os mlh dke dks fdrus fnuks es a [kRe djs xs a \ (a) days 4 1 / fnu (b) days 24 7 / fnu (c) 7 3 3 fnu (d) 4 days / fnu 3. A, B and C can complete a piece of work in 12, 24 and 36 days respectively. They will together complete the same work in ? A, B rFkk C fdlh dke dks Øe’k% 12] 24 rFkk 36 fnuks a es a dj ldrs gS rks rhuks a feydj ml dke dks fdrus fnuksa es lekIr djs xs a \ (a) days 11 6 5 / fnu (b) 4 days / fnu (c) days 11 6 6 / fnu (d) 6 days/ fnu 4. A sum of money is sufficient to pay A’s wages for 21 days and B’s wages for 28 days. The same money is sufficient to pay the wages of both for how many days ? fdlh jkf’k ls A dks 21 fnuks a dh etnw jh rFkk B dks 28 fnuksa dks etnw jh nh tk ldrh gS] rks nks uks dks mlh jkf’k ls fdrus fnuksa dh etnw jh nh tk ldrh gSa \ (a) days 4 1 12 / fnu (b) 14 days/ fnu (c) 4 1 24 days/ fnu (d) 12 days/ fnu 5. A can complete a piece of work in ‘m’ days and B can complete it in ‘n’ days. How many days will it take to complete the work if both A and B work together ? A fdlh dke dks m fnuksa es a rFkk B mlh dke dks n fnuksa es a lekIr dj ldrk gS] ;fn nkuks a feydj dke djrs gS rks dke fdrus fnuks a es a lekIr gks xk\ (a) days ) n m ( / fnu (b) n 1 m 1 days/ fnu (c) mn n m days/ fnu (d) n m mn days/ fnu 6. One man and one woman together can complete a piece of work in 8 days. A man alone can complete the work in 10 days. In how many days can one woman alone complete the work? 1 iq:"k rFkk 1 efgyk feydj fdlh dke dks 8 fnuks a es a lekIr dj ldrs gSaA ,d iq:"k dke dks vds ys 10 fnuks a es a lekIr dj ldrk gS] rks ,d efgyk vds yh dke dks fdrus fnuksa es a lekIr djs xh\ (a) days 9 140 / fnu (b) 30 days/ fnu (c) 40 days/ fnu (d) 42 days/ fnu 7. A and B together can do a piece of work in 10 days. A alone can do it in 30 days. The time in which B alone can do it is A vkSj B feydj ,d dke dks 10 fnuks a es a dj ldrs gSA A vds yk ml dke dks 30 fnuks a es a dj ldrk gS] rks B vds ys mlh dke dks fdrus fnuks a es a djs xk \ (a) 10 days/ fnu (b) 12 days/ fnu (c) 15 days/ fnu (d) 20 days/ fnu 8. If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work ? ;fn A vkSj B fdlh dke dks 15 fnuks a es a dj ldrs gS rFkk B vds ys bl dke dks 20 fnuka s es a dj ldrk gS] rks A vds ys ml dke dks fdrus fnuks a es a djs xk\ (a) 60 days/ fnu (b) 45 days/ fnu (c) 40 days/ fnu (d) 30 days/ fnu

Transcript of Time & Work - Maths By Arun Sir

219

TIME & WORK

TYPE-I

1. A can do a piece of work in 6 days and B in 9 days.How many days will both take together to completethe work?

A ,d dke dks 6 fnuks eas rFkk B 9 fnukss esa dj ldrk gSAnksuksa feydj ml dke dks fdrus fnukss esa iwjk djasxs \(a) 7.5 days/ fnu (b) 5.4 days / fnu(c) 3.6 days/ fnu (d) 3 days/ fnu

2. A, B, and C can complete a piece of work in 24,6 and12 days respectively. Working together, they willcomplete the same work in

A, B rFkk C ,d dke dks Øe’k% 24, 6 rFkk 12 fnuksa esadj ldrs gSaA ,d lkFk dke djds os mlh dke dksfdrus fnukss esa [kRe djsxsa \

(a) days4

1/ fnu (b) days

24

7/ fnu

(c) 7

33 fnu (d) 4 days / fnu

3. A, B and C can complete a piece of work in 12, 24 and36 days respectively. They will together complete thesame work in ?

A, B rFkk C fdlh dke dks Øe’k% 12] 24 rFkk 36 fnuksaesa dj ldrs gS rks rhuksa feydj ml dke dks fdrusfnuksa es lekIr djsxsa \

(a) days11

65 / fnu (b) 4 days / fnu

(c) days11

66 / fnu (d) 6 days/ fnu

4. A sum of money is sufficient to pay A’s wages for 21days and B’s wages for 28 days. The same money issufficient to pay the wages of both for how many days ?

fdlh jkf’k ls A dks 21 fnuksa dh etnwjh rFkk B dks 28fnuksa dks etnwjh nh tk ldrh gS] rks nksuks dks mlh jkf’kls fdrus fnuksa dh etnwjh nh tk ldrh gSa \

(a) days4

112 / fnu (b) 14 days/ fnu

(c) 4

124 days/ fnu (d) 12 days/ fnu

5. A can complete a piece of work in ‘m’ days and B cancomplete it in ‘n’ days. How many days will it take to

complete the work if both A and B work together ?

A fdlh dke dks m fnuksa esa rFkk B mlh dke dks n fnuksaesa lekIr dj ldrk gS] ;fn nkuksa feydj dke djrs gSrks dke fdrus fnuksa esa lekIr gksxk\

(a) days)nm( / fnu (b)

n

1

m

1days/ fnu

(c)

mn

nmdays/ fnu (d)

nm

mndays/ fnu

6. One man and one woman together can complete a pieceof work in 8 days. A man alone can complete the workin 10 days. In how many days can one woman alone

complete the work?

1 iq:"k rFkk 1 efgyk feydj fdlh dke dks 8 fnuksa esalekIr dj ldrs gSaA ,d iq:"k dke dks vdsys 10 fnuksaesa lekIr dj ldrk gS] rks ,d efgyk vdsyh dke dksfdrus fnuksa esa lekIr djsxh\

(a) days9

140/ fnu (b) 30 days/ fnu

(c) 40 days/ fnu (d) 42 days/ fnu7. A and B together can do a piece of work in 10 days. A

alone can do it in 30 days. The time in which B alone

can do it is

A vkSj B feydj ,d dke dks 10 fnuksa esa dj ldrs gSAA vdsyk ml dke dks 30 fnuksa esa dj ldrk gS] rks B

vdsys mlh dke dks fdrus fnuksa esa djsxk \(a) 10 days/ fnu (b) 12 days/ fnu(c) 15 days/ fnu (d) 20 days/ fnu

8. If A and B together can complete a piece of work in 15days and B alone in 20 days, in how many days can A

alone complete the work ?

;fn A vkSj B fdlh dke dks 15 fnuksa esa dj ldrs gSrFkk B vdsys bl dke dks 20 fnukas esa dj ldrk gS] rksA vdsys ml dke dks fdrus fnuksa esa djsxk\(a) 60 days/ fnu (b) 45 days/ fnu(c) 40 days/ fnu (d) 30 days/ fnu

atiq
Placed Image

220

TIME & WORK

9. A man can do a piece of work in 30 hours. If he workswith his son then the same piece of work is finished in20 hours. If the son works alone, he can do the work in

dksbZ O;fDr fdlh dke dks 30 ?kaVs esa dj ldrk gSA ;fnog vius iq= ds lkFk fey dj ogh dke djs rks dke 20?kaVs esa iwjk gks tkrk gSA ;fn iq= vdsyk dke djs rks ogdke fdrus le; esa iwjk djsxk \ [SSC CGL Mains -2016]

(a) 60 hours/ ?kaVs (b) 50 hours / ?kaVs(c) 25 hours/ ?kaVs (d) 10 hours/ ?kaVs

10. A can do a piece of work in 4 hours, B and C can do itin 3 hours, C and A can do it in 2 hours. How long willB alone take to do it ?

A ,d dke dks 4 ?kaVs esa dj ldrk gSA B vkSj C 3 ?kaVsesa rFkk A vkSj C 2 ?kaVs esa dj ldrs gSA B vdsyk bldke dks fdrus ?kaVksa esa djsxk \(a) 10 hours/ ?kaVs (b) 12 hours/ ?kaVs(c) 8 hours/ ?kaVs (d) 24 hours/ ?kaVs

11. A and B can do a piece of work in 12 days, B and C in15 days and C and A in 20 days, they will togethercomplete the work in

A vkSj B fdlh dke dks 12 fnuksa esa dj ldrs gSA B vkSjC mlh dke dks 15 fnuksa esa dj ldrs gSA rFkk C vkSj Amlh dke dks 20 fnuksa esa dj ldrs gSA ;fn A, B rFkk C,d lkFk dke djsa rks os fdrus fnuksa esa dke [kRe djsaxs \

(a) 5 days/ fnu (b) days6

57 / fnu

(c) 10 days/ fnu (d) days3

215 / fnu

12. A and B can do a piece of work in 12 days, B and C in8 days and C and A in 6 days. How long would B taketo do the same work alone ?

A vkSj B ,d dke dks 12 fnuksa esa dj ldrs gaS] B vkSjC mlh dke dks 8 fnuksa esa rFkk C vkSj A 6 fnuksa esa djldrs gSA B vdsyk ml dke dks fdrus fnuksa esa djsxk\(a) 24 days/ fnu (b) 32 days/ fnu(c) 40 days/ fnu (d) 48 days/ fnu

13. A and B can do a piece of work in 10 days, B and Ccan do it in 12 days. A and C can do it in 15 days. Howlong will A take to do it alone ?

A vkSj B fdlh dke dks 10 fnuks eas dj ldrs gS] B vkSjC ml dke dks 12 fnuksa es dj ldrs gSa rFkk A vkSj C

blh dke dks 15 fnuksa esa dj ldrs gSa] rks A vdsys dkedks fdrus fnu esa djsxk \(a) 24 days/ fnu (b) 20 days/ fnu(c) 40 days/ fnu (d) 30 days/ fnu

14. A and B can do a piece of work in 18 days. B and C in24 days and A and C in 36 days. Working togetherthey can complete the work in

A vkSj B fdlh dke dks 18 fnu esa dj ldrs gSa vkSj B vkSjC mlh dke dks 24 fnu esa dj ldrs gS rFkk A vkSj C mls36 fnu esa dj ldrs gSaA crkb, os lc fey dj ml dkedks fdrus fnuksa esa djsaxs \ [SSC CGL Mains -2016]

(a) 12 days/ fnu (b)28 days/ fnu(c) 16 days/fnu (d) 30 days/ fnu

15. A and B can do a given peiece of work in 8 days, Band C can do the same work in 12 days and A, B, Ccomplete it in 6 days. number of days required to finishthe work by A and C isA vkSj B fn;s x, fdlh dke dks 8 fnu esa dj ldrs gSa]B vkSj C mlh dke dks 12 fnu esa dj ldrs gSa rFkk A,

B, C mls 6 fnu esa iwjk dj ldrs gSaA A vkSj C }kjk mldke dks iwjk djus esa fdrus fnu yxsaxss \(a) 8 (b) 12 [SSC CGL Mains -2015](c) 24 (d) 16

TYPE-II

16. A labourer can do a job in 50 hours. After 5 hours hetakes a break. What fraction of the job is yet to bedone?

,d etnwj ,d dke dks 50 ?kaVs esa djrk gSA 5 ?kaVs cknog fojke ysrk gSA dke dk fdruk Hkkx vHkh Hkh djukckdh gS \ [CHSL -2017]

(a) 0.8 (b) 0.5(c) 0.75 (d) 0.9

17. A can do a piece of work in 15 days and B in 20 days.If they together work on it for 4 days, then the fractionof the work that is left isA ,d dke dks 15 fnuksa esa rFkk B mlh dke dks 20 fnukasesa dj ldrk gSA ;fn os 4 fnuksa rd ,d lkFk dke djrsgS] rks vc dke dk fdruk fgLlk cpk gqvk gSA

(a)15

8 (b)

15

7(c)

4

1(d)

10

1

18. A can complete a piece of work in 6 days while B cancomplete the same work in 12 days. If they worktogether and complete it, the portion of the work doneby A is

A ,d dke dks 6 fnukss esa [kRe djrk gS tcfd B mlhdke dks 12 fnuksa esa djrk gSA ;fn nksuks lkFk esa dkedjds dke [kRe djrs gSa rks A us fdruk dke fd;k \

(a) 3

1 (b)

3

2(c)

4

1(d)

2

1

221

TIME & WORK

19. A can finish a piece of work in 18 days and B can dothe same work in half the time taken by A. Thenworking together what part of the same work they canfinish in a day ?

A ,d dke dks 18 fnuksa esa [kRe djrk gSA B mlh dke dksA }kjk fy;s x, le; ds vk/ks le; es [kRe dj ldrk gSA,d lkFk dke djds os nksuks ,d fnu esa dke dk fdrukHkkx [kRe djsxsa \

(a) 6

1 (b)

5

2(c)

9

1(d)

7

2

20. A and B can do a piece of work in 72 days, B and Ccan do it in 120 days and A and C can do it in 90 days.When A , B and C work together, how much work isfinished by them in 3 days.

A vkSj B fdlh dke dks 72 fnuksa esaa] B vkSj C 120 fnuksaesa rFkk A vkSj C 90 fnuks esa dj ldrs gSA ;fn A, B vkSjC rhuksa ,d lkFk dke djrs gSa rks 3 fnu esa dke dkfdruk Hkkx [kRe gks tk,xkA

(a) 40

1 (b)

30

1(c)

20

1(d)

10

1

TYPE-III

21. A and B can do a piece of work in 30 days while B andC can do the same work in 24 days and C and A in 20days. They work together for 10 days. How long willA take to finish the remaining work ?

A vkSj B ,d dke dks 30 fnuksa es dj ldrs gSa] tcfdB vkSj C mlh dke dks 24 fnuksa esa rFkk C vkSj A mlhdke dks 20 fnuksa esa dj ldrs gSaA os 10 fnuksa rd ,dlkFk dke djrs gSa] rks cpk gqvk dke A fdrus fnuksa esadjsxk \(a) 30 days/ fnu (b) 24 days/ fnu(c) 18 days/ fnu (d) 36 days/ fnu

22. A and B together can complete a piece of work in 8days, B alone can complete the work in 12 days. Balone worked for four days. After that how long will Aalone take to complete the work?

A vkSj B feydj fdlh dke dks 8 fnuksa esa lekIr djldrs gSaA B vdsys dke dks 12 fnuksa esa dj ldrk gSAB vdsys 4 fnuksa rd dke djrk gS] mlds Ik’pkr~ A

vdsys ml dke dks fdrus fnuksa esa iwjk djsxk \(a) 15 days/ fnu (b) 18 days/ fnu(c) 16 days/ fnu (d) 20 days/ fnu

23. A and B can do a piece of work in 18 and 24 daysrespectively. They worked together for 8 days and thenA left. The remaining work was finished by B in

A vkSj B fdlh dke dks Øe’k% 18 fnuks rFkk 24 fnuksaess iwjk dj ldrs gaSA mUgksusa 8 fnuks rd lkFk dke fd;kmlds ckn A us dke NksM fn;k rks cpk gqvk dke B

fdrus fnu esa djsxk \

(a) 5 days/ fnu (b)3

15 days/ fnu

(c) 8 day/ fnu (d) 10 days/ fnu24. A and B can do a piece of work in 20 days and 12 days

respectively. A started the work alone and then after 4days B joined him till the completion of the work. Howlong did the work last ?

A vkSj B fdlh dke dks Øe’k% 20 fnuksa rFkk 12 fnuksa esdj ldrs gaSA A vdsys dke djuk vkjaHk djrk gS vkSj 4fnu ckn] dke [kRe gksus rd B Hkh ’kkfey gks tkrk gS rksdke fdrus fnuksa rd vkSj pyk \(a) 10 days (b) 8 days(c) 5 days (d) 6 days

25. A can finish a piece of work in 24 days, B in 9 daysand C in 12 days. B and C start the work but are forcedto leave after 3 days. The remaining work was doneby A inA, B rFkk C fdlh dke dks Øze’k% 24 fnu] 9 fnu rFkk12 fnu es dj ldrs gSaA B vkSj C lkFk dke djuk vkjaHkdjrs gaS] ysfdu 3 fnu ckn os dke NksM nsrs gSA ’ks"k dkeA fdrus fnuksa esa iwjk djsxkA(a) 5 days/ fnu (b) 6 days/ fnu

(c) 10 days/ fnu (d) days2

110

26. A and B can do a piece of work in 28 and 35 daysrespectively. They began to work together but A leavesafter sometime and B completed remaining work in17 days. After how many days did A leave.

A vkSj B fdlh dke dks Øze’k% 28 fnuksa rFkk 35 fnuksa easdjrs gSaA os ,d lkFk dke djuk ’kq: djrs gSa ysfdudqN fnuksa ds Ik’pkr A dke NksM+ nsrk gS vkSj B ’ks"k dke17 fnuksa esa [kRe djrk gSA rks A us fdrus fnu ds ckndke dks NksMk Fkk \

(a) 5

214 days/fnu (b) 9 days/fnu

(c) 8 days/fnu (d)9

57 days/fnu

222

TIME & WORK

27. A and B can do a piece of work in 30 and 36 daysrespectively. They began the work together but A leavesafter some days and B finished the remaining work in25 days. After how many days did A leave?

A vkSj B ,d dk;Z dks Øe’k% 30 vkSj 36 fnu esa dj ldrsgSaA os nksuksa ,dlkFk dk;Z djuk vkjaHk djrs gSa fdarq dqNfnu ckn A dk;Z NksM+ nsrk gS vkSj B ’ks"k dk;Z dks 25 fnuksaesa iwjk djrk gSA A us fdrus fnu ckn dk;Z NksM+k Fkk\

[SSC CGL Mains -2015]

(a) 10 days/ fnu (b) 11 days / fnu(c) 6 days/ fnu (d) 5 days/ fnu

28. A can do a piece of work in 60 days. He works for 15days and then B alone finishes the remaining work in30 days. They together can finish the work in

A ,d dke dks 60 fnu esa djrk gSA og 15 fnuksa rd dkedjrk gSa] mlds ckn B vdsys ’ks"k dke dks 30 fnuksa esa lekIrdjrk gS] rks nksuks feydj dke dks fdrus fnuksa esa [kRe djsxsa\(a) 24 days/ fnu (b) 25 days/ fnu(c) 30 days/ fnu (d) 32 days/ fnu

29. A can do a piece of work in 12 days .When he hadworked for 3 days. B joined him and they complete thework in 3 more days, in how many days can B alonefinish the work?

A fdlh dke dks 12 fnuks esa dj ldrk gSa A 3 fnu rdA vdsys dke djrk gSA mlds ckn B Hkh dke esa ’kkfeygks tkrk gS rFkk os 3 vfrfjDr fnu esa dke [kRe dj nsrsgSa rks B vdsys dke dks fdrus fnuksa esa djsxk \(a) 6 days/ fnu (b) 12 days/ fnu(c) 4 days/ fnu (d) 8 days/ fnu

30. A and B can together finish a work in 30 days. Theyworked together for 20 days and then B left and Afinished the remaining work in 20 days so, A can finishthe whole work in

A vkSj B ,d lkFk dke djds 30 fnuksa esa dke [kRe djrsgSaA os 20 fnuksa rd ,d lkFk dke djrs gSa mlds ckn Bdke NksM+ nsrk gS rFkk A vdsyk ’ks"k dke dks 20 fnuksa esalekIr djrk gS rks A iwjk dk;Z fdrus fnuksa esa djsxkA(a) 50 days/ fnu (b) 60 days/ fnu(c) 48 days/ fnu (d) 54 days/ fnu

31. A can do a piece of work in 18 days and B in 12 days.They began the work together, But B left the work 3days before its completion. In how many days , in allwere the work completed?

A fdlh dke dks 18 fnuks esa rFkk B 12 fnuksa esa dj ldrkgSA mUgksaus ,d lkFk dke djuk ’kq: fd;k] ysfdu dke[kRe gksus ls 3 fnu igys B dke NksM+ nsrk gS] rks dqyfeykdj dke fdrus fnuksa esa lekIr gqvk \

(a) 12 days/ fnu (b) 10 days/ fnu(c) 9.6 days/ fnu (d) 9 days/ fnu

32. A, B and C can complete a piece of work in 10, 12 and15 days respectively. They started the work together.But A left the work 5 days before its completion. Balso left the work 2 days after A left. In how many dayswas the work completed?

A, B rFkk C fdlh dke dks Øze’k% 10] 12 rFkk 15 fnuksa esaiwjk dj ldrs gSA mUgksus ,d lkFk dke djuk vkjaHkfd;kA A dke [kRe gksus ds 5 fnu igys dke NksM+ nsrk gSAA ds dke NksM+us ds 2 fnu ckn B Hkh dke NksM+ nsrkgS] rks dke fdrus fnuksa esa [kRe gksxk \(a) 4 days/ fnu (b) 5 days/ fnu(c) 7 days/ fnu (d) 8 days/ fnu

33. A, B and C can do a work separately in 16, 32 and 48days respectively. They started the work together but Bleft the work 8 days before its completion and C sixdays before the completion of the work. In what time isthe work finished?

A, B vkSj C ,d dk;Z dks vyx&vyx Øe’k% 16] 32 vkSj48 fnuksa esa dj ldrs gSaA os lkFk&lkFk dk;Z vkjaHk djrsgSa fdarq B dk;Z lekIr gksus ls 8 fnu igys vkSj C Ng fnuigys dk;Z NksM+ nsrk gSA dk;Z fdrus fnuksa esa iwjk gqvk\(a)12 days/ fnu (b) 14 days/ fnu [SSC CGL Mains -2015]

(c) 10 days/ fnu (d) 9 days/ fnu34. A can do a piece of work in 20 days and B in 30 days.

They work together for 7 days and then both leave thework. Then C alone finishes the remaining work in 10days. In how many days will C finish the full work ?A RkFkk B fdlh dke dks Øze’k% 20 fnuksa rFkk 30 fnuksa esalekIr dj ldrs gaSA nksuksa 7 fnuksa rd ,d lkFk dke djrsgSa fQj nksuks dke NksM+ nsrs gSA ’ks"k dke dks C 10 fnu esa iwjkdjrk gS] rks iwjk dke C fdrus fnu esa lekIr djsxk \(a) 25 days/ fnu (b) 30 days/ fnu(c) 24 days/ fnu (d) 20 days/ fnu

35. Ramesh and Rahman can do a work in 20 and 25 daysrespectively. After doing collectively 10 days of work,they leave the work due to illness and Suresh completesrest of the work in 3 days. How many days Suresh alonecan take to complete the whole work?

jes’k vkSj jgeku fdlh dke dks Øe’k% 20 vkSj 25 fnu esadj ldrs gSaA nksuksa fey dj 10 fnu rd dke djrs gSa vkSjmlds ckn os chekj iM+ tkus ds dkj.k dke NksM+ nsrs gSA ’ks"kdke lqjs’k 3 fnu esa iwjk djrk gSA crkb, lqjs’k vdsyk mldke dks fdrus fnu esa iwjk djsxk\ [SSC CGL Mains -2016]

(a) 32 days/ fnu (b) 28 days/ fnu(c) 29 days/ fnu (d) 30 days fnu

223

TIME & WORK

36. A man and a boy can complete a piece of work togetherin 24 days. If for the last six days boy alone does thework then it is completed in 28 days. How long theman will take to complete the work alone ?,d iq:"k vkSj ,d yM+dk feydj fdlh dke dks 24 fnuksaesa lekIr dj ldrs gSA ;fn vafre 6 fnuksa ls dsoy yM+dkdke dj jgk gks] rks dke 28 fnuksa esa lekIr gks tkrk gS] rksiq:"k vdsys dke dks fdrus fnuksa esa djsxk \(a) 72 days/ fnu (b) 20 days/ fnu(c) 24 days/ fnu (d) 36 days/ fnu

37. A can do a peice of work in 10 days and B can do it in12 days. They work together for 3 days. Then B leavesand A alone continues. 2 days after that C joins andthe work is completed in 2 days more. In how manydays can C do it, if he works alone?

A dksbZ dke 10 fnu esa djrk gS vkSj B ogh dke 12 fnuesa djrk gSA os nksuksa fey dj 3 fnu dke djrs gS mldsckn B dke NksM+ nsrk gS vkSj A vdsyk dke djrk jgrkgSA mlds 2 fnu ckn C dke ij vk tkrk gS vkSj 2 fnuesa dke iwjk gks tkrk gSA ;fn C vdsyk dke djs rks ogdke dks fdrus fnu esa iwjk dj ysxk\

[SSC CGL Mains -2016]

(a) 30 days/ fnu (b) 50 days/ fnu(c) 40 days/ fnu (d) 60 days/ fnu

TYPE-IV38. Working efficiencies of P and Q for completing a piece

of work are in the ratio 3 : 4. The number of days to betaken by them to complete the work will be in the ratio,d dk;Z dks lekIr djus ds fy;s P rFkk Q dh dk;Z{kerkdk vuqikr 3:4 gS] rks dke dks [kRe djus ds fy, nksuksds }kjk fy;s x, fnuksa dk vuqikr D;k gksxk \(a) 3 : 2 (b) 2 : 3(c) 3 : 4 (d) 4 : 3

39. A’s 2 days work is equal to B’s 3 days work. If A cancomplete the work in 8 days, then to complete the workB will takeA ds 2 fnu dk dke B ds 3 fnu ds dke ds cjkcj gSA;fn A dke dks 8 fnu esa lekIr dj ldrk gS rks B dkedks fdrus fnuks esa lekIr djsxkA(a) 15 days/ fnu (b) 12 days/ fnu(c) 16 days/ fnu (d) 14 days/ fnu

40. Mayur can complete a work in 27 hours. If he is joinedby Jayantika who is 100% more efficient, in what timewill they together finish the work?e;wj ,d dke 27 fnu esa iwjk dj ldrk gS] ;fn mlst;afrdk us lgk;rk dh ftldh dk;Z{kerk 100%vf/kd gS] rks fdrus le; esa nksuksa fey dj dke iwjk djysaxs\ [CHSL-2017]

(a) 6 days/ fnu (b) 3 days/ fnu(c) 9 days/ fnu (d) 10 days/ fnu

41. A is twice as good workman as B and together theyfinish a piece of work in 14 days . The number of daystaken by A alone to finish the work is

A dh dk;Z{kerk B dh nksxquh gS vkSj nksuksa feydj fdlhdke dks 14 fnuksa esa lekIr djrs gSaA rks A vdsys dke dksfdrus fnuksa esa lekIr djsxk\(a) 11 days (b) 21 days(c) 28 days (d) 42 days

42. A and B together can do piece of work in 9 days. if Adoes thrice the work of B in a given time, the time Aalone will take to finish the work isA vkSj B feydj fdlh dke dks 9 fnu esa dj ldrs gSA;fn A fufnZ"V le; esa B ls frxquk dke dj ysrk gS rksA vdsyk dke dks fdrus le; esa lekIr djsxk\(a) 4 days/ fnu (b) 6 days/ fnu [SSC CGL Pre. -2016]

(c) 8 days/ fnu (d) 12 days/ fnu43. To complete a piece of work A takes 50% more time

than B. If together they take 18 days to complete thework, how much time will B take to do it?

,d dke dks [kRe djus esa A, B dh rqyuk esa 50% le;vf/kd ysrk gSA ;fn nksuks feydj ml dke dks 18 fnuksaesa [kRe dj ldrs gS rks B ml dke dks fdrus fnu esalekIr djsxk \(a) 30 days/ fnu (b) 35 days/ fnu(c) 40 days/ fnu (d) 45 days/ fnu

44. A can do a certain work in 12 days. B is 60% moreefficient than A. How many days will B and A togethertake to do the same job ?

A fdlh dke dks 12 fnuksa esa lekIr dj ldrk gSA B dhdk;Z {kerk A ls 60% vf/kd gS] rks A rFkk B feydjfdrus fnuksa esa dke lekIr djsxsa \

(a) days13

80/ fnu (b) days

13

70/ fnu

(c) 13

75days/ fnu (d) days

13

60/ fnu

45. Sashi can do a piece of work in 20 days Tanya is 25%more efficiently than Shashi, The number of days takenby Tanya to do the same piece of work is

’kf’k fdlh dke dk 20 fnu esa dj ldrh gSA rkU;kmlls 25% vf/kd n{k gSA ogh dke RkkU;k fdrus fnuksaesa iwjk djsxh\ [SSC CGL Pre. -2016]

(a) 15 days/ fnu (b) 16 days/ fnu(c) 18 days/ fnu (d) 25 days/ fnu

224

TIME & WORK

46. A can do a work in 21 days. B is 40% more efficientthan A. The number of days required for B to finish thesame work alone is

A fdlh dke dks 21 fnuksa esa dj ldrk gSA B dh dk;Z{kerk A ls 40% vf/kd gS] rks B mlh dke dks fdrus fnuksaesa lekIr djsxk \(a) 10 days/ fnu (b) 12 days/ fnu(c) 15 days/ fnu (d) 18 days/ fnu

47. A does 75% of a work in 50 days. He then calls in B andthey together finish the remaining work in 10 days. Howlong B alone would take to complete the whole work?A ,d dke dk 75%] 50 fnu esa iwjk djrk gSA fQj oks Bdks cqykrk gS vkSj os nksuksa feydj cpk gqvk dke 10 fnuesa iwjk djrs gSaA iwjk dke vdsys djus esa B dks fdrukle; yxsxk\ [CHSL-2017]

(a) 200 days/ fnu (b) 50 days/ fnu(c) 100 days/ fnu (d) 125 days/ fnu

48. A is thrice as good a workman as B and is therefore ableto finish a piece of work in 60 days less than B. Thetime (in days) in which they can do it together is

A dh dk;Z {kerk B dh dk;Z {kerk dh rhu xquh gSblfy, og ,d dke dks B dh rqyuk esa 60 fnu de esadjrk gSA ;fn os nkuks ,d lkFk dke djsa] rks fdrus fnuksaesa dke [kRe gksxk \

(a) 22 days/ fnu (b) days2

122 / fnu

(c) 23 days/ fnu (d) days4

123 / fnu

49. Azhar is 4 times as good a workman as Balraj andtherefore is able to finish a job in 45 days less thanBalraj. Working together, they can do it in.

vtgj cyjkt ls 4 xquk vf/kd vPNk deZpkjh gS vkSjblh dkj.k og ,d dke mlls 45 fnu de esa iwjk djldrk gS] nksuksa lkFk feydj og dke fdrus fnu esa djsxsa\

[CHSL-2017]

(a) 6 days/ fnu (b) 18 days / fnu(c) 24 days/ fnu (d) 12 days/ fnu

50. A is thrice as good a workman as B and is thereforeable to finish a job in 40 days less than B. Workingtogether, they can do it in

A dh dk;Z{kerk B dh frxquh gS blfy, og fdlh dke dksB dh rqyuk esa 40 fnu igys [kRe dj nsrk gS] rks nksuksfeydj dke dks fdrus fnuksa esa lekIr djsaxs\(a) 14 days/ fnu (b) 13 days/ fnu(c) 20 days/ fnu (d) 15 days/ fnu

51. Sunil completes a piece of work in 4 days, whereasDinesh completes the work in 6 days. Ramesh does

the work 2

11 times as fast as Sunil. The three together

can complete the work in ( lquhy ,d dke 4 fnuksa esaiwjk dj ldrk gS tcfd fnus’k 6 fnuksa esa dke iwjk dj

ldrk gSA jes’k dh dk;Z{kerk lquhy ls 2

11 xquk vf/kd

gS] rks rhuks feydj fdrus fnu esa dke iwjk djasxs \

(a) days12

11 / fnu (b) days

7

51 / fnu

(c) days8

31 / fnu (d) days

19

51 / fnu

52. If A, B and C can complete a piece of work in 6 days.if A can work twice as fast as than B and thrice as fastas C, then the number of days C alone can complete

the work is

A, B rFkk C fdlh dke dks 6 fnu esa djrs gSaA A dhdk;Z{kerk B dh nks xquk gS vkSj C ds rhu xquk gS] rks Cvdsys dke dks fdrus fnu es lekIr djsxk \(a) 44/ fnu (b) 33/ fnu(c) 22/ fnu (d) 11/ fnu

53. A is twice as good a workman as B and B is twice asgood a work man as C. If A and B can together finish a

piece of work in 4 days, then C can do it by himself in

A dh dk;Z{kerk B dh nksxquh gS rFkk B dh dk;Z{kerk Cdh nksxquh gSA ;fn A rFkk B fdlh dke dks 4 fnuksa esa[kRe dj ldrs gSa rks C mlh dke dks fdrus fnuksa esalekIr djsxk \(a) 6 days/ fnu (b) 8 days/ fnu(c) 24 days/ fnu (d) 12 days/ fnu

54. A takes three times as long as B and C together to do ajob B takes four times as long as A and C together todo the job . If all the three working together cancomplete the job in 24 days, then the number of days,

A alone will take to finish the job is

A fdlh dke dks B C dh rqyuk esa rhu xqus le; esaiwjk djrk gS B mlh dke dks A rFkk C dh rqyuk esa pkjxquk le; esa iwjk djrk gSA ;fn rhuks lkFk dke djrs gS rksdke 24 fnuksa es iwjk gks tkrk gS] rks A vdsys dke dks fdrusle; esa iwjk djsxk \(a) 100 (b) 96(c) 95 (d) 90

225

TIME & WORK

55. A can do as much work in 4 days as B can do in 5, andB can do as much work in 6 days as C in 7. In what timewill C do a piece of work which A can do in a week?A ftruk dke 4 fnu esa djrk gS] B mruk dke 5 fnu esadjrk gS vkSj B ftruk dke 6 fnu esa djrk gS] C oghdke 7 fnu esa djrk gSA crkb, dksbZ dke tks A ,dlIrkg esa djrk gS] og C fdrus fnu esa iwjk djsxk\

[SSC CGL Mains -2016]

(a) days24

510 / fnu (b) days

5

44 / fnu

(c) days15

86 / fnu (d) days

19

612 / fnu

56. A and B together can complete a piece of work in 12days. A alone can complete it in 20 days. If B does thework only half a day daily, then in how many days Aand B together will complete the work ?

A vkSj B feydj fdlh dke dks 12 fnukas esa dj ldrsgSA A vdsyk dke dks 20 fnuksa esa lekIr dj ldrk gSA;fn B vk/kk fnu dke djrk gS rks A vkSj B feydjfdrus fnuksa esa dke iwjk djsxsa \(a) 10 days/ fnu (b) 20 days/ fnu(c) 11 days/ fnu (d) 15 days/ fnu

57. Two workers A and B working together completed ajob in 5 days. If A had worked twice as efficiently ashe actually did, the work would have been completedin 3 days. To complete the work alone, A would requirenks etnwj A vkSj B, 5 fnuksa esa ,d dke lekIr djldrs gSA ;fn A nksxquh rsth ls dke djrk gS rks dke3 fnukas esa iwjk gks tk,xk] rks A vdsyk dke dks fdrusle; esa iwjk djsxk \

(a) days5

15 / fnu (b) days

4

16 / fnu

(c) days2

17 / fnu (d) days

4

38 / fnu

58. A does half as much work as B in one sixth of the time.If together they take 10 days to complete a work howmuch time shall B take to do it alone ?

B ds 6

1le; es A, B dh rqyuk esa vk/kk dke djrk gSA

;fn os nksuks feydj 10 fnuksa esa dke [kRe dj ldrs gSrks B vdsyk ml dke dks fdrus fnuksa esa [kRe djsxk \(a) 70 days/ fnu (b) 30 days/ fnu(c) 40 days/ fnu (d) 50 days/ fnu

59. A does half as much work as B in three fourth of thetime taken by B. If together they take 18 days to

complete the work then how much times shall B taketo do it alone?

B }kjk fy, x,s le; ds 3/4 le; esa A mldk vk/kk dkedjrk gSA ;fn nksuks feydj 18 fnuksa es dke [kRe djrsgS] rks B vdsys dke dks fdrus fnuksa es [kRe djsxk \(a) 30 days/ fnu (b) 35 days/ fnu(c) 40 days/ fnu (d) 45 days/ fnu

TYPE-V

60. A and B together can do a piece of work in 12 dayswhich B and C can together do in 16 days. If A worksfor 5 days, B works for 7 days then C complete theremaining work in 13 days. In how much time B alonedo the whole work?A vkSj B feydj fdlh dke dks 12 fnuksa esa rFkk B vkSj Cfeydj mlh dke dks 16 fnuksa esa djrs gSA A vxj 5 fnudke djrk gS] B 7 fnu dke djrk gS rks ’ks"k dke C 13 fnuesa [kRe djrk gS] rks B vdsyk iwjk dke fdrus fnuks esa [kRedjsxk \(a) 48 days/ fnu (b) 24 days/ fnu(c) 16 days/ fnu (d) 12 days/ fnu

61. A and B together can do a piece of work in 30 days, Band C together can do it in 20 days. A starts the workand work on it for 5 days, then B takes up and workfor 15 days. Finally C finishes the work in 18 days.The number of days in which C alone can do the workwhen doing it separately is

A RkFkk B fdlh dke dks 30 fnuksa esa dj ldrs gSA B vkSj Cblh dke dks 20 fnuksa esa lekIr dj ldrs gSaA A dke ’kq:djrk gS vkSj 5 fnuksa rd dke djrk gSA fQj B, 15 fnuksrd dke djrk gS vkSj var esa C, 18 fnu esa dke lekIrdjrk gSA rks C vdsys fdrus fnuksa esa dke lekIr djsxk \(a) 120 days/ fnu (b) 40 days/ fnu(c) 60 days/ fnu (d) 24 days/ fnu

62. P and Q together can do a job in 6 days. Q and R canfinish the same job in 60/7 days. P started the workand worked for 3 days. Q and R continued for 6 days.Then the difference of days in which R and P cancomplete the job alone is

P vkSj Q feydj ,d dk;Z dks 6 fnuksa esa dj ldrs gSaA QvkSj R mlh dk;Z dks 60@7 fnuksa esa dj ldrs gSaaA P us ’kq:esa rhu fnuks rd dke fd;k fQj Q vkSj R 6 fnuksa rd dk;Zdjrs jgsA R vkSj P }kjk ml dk;Z dks iwjk djus esa fdrusfnuksa dk varj gksxk\ [SSC CGL Mains -2015]

(a) 10 days/ fnu (b) 8 days/ fnu(c)12 days/ fnu (d) 15 days/ fnu

226

TIME & WORK

TYPE-VI

63. A and B can complete a piece of work in 12 and 18days respectively. A begins to do the work and theyworked alternately one at a time for one day each. The

whole work will be completed in

A vkSj B fdlh dke dks Øe’k% 12 rFkk 18 fnuksa esa djldrs gSA A dke djuk ’kq: djrk gS vkSj os ckjh ckjhls ,d&,d fnu dke djrs gSa rks iwjk dke fdrus fnuksaesa [kRe gksxk \

(a) 3

114 days/ fnu (b)

3

115 days/ fnu

(c) 3

116 days/ fnu (d)

3

218 days/ fnu

64. Ganga and Saraswati, working separately can mow afield in 8 and 12 hours respectively. If they work instretches of one hour alternately, Ganga beginning at

9 a.m. when will the mowing be completed ?

xaxk rFkk ljLorh vyx&vyx dke djrs gq, ,d [ksrdks Øe’k% 8 ?kaVs rFkk 12 ?kaVs esa tksrrh gSA ;fn osckjh&ckjh ls ,d&,d ?kaVs dke djrh gSaA ;fn rks xaxk9 cts iwokZg~u esa dke ’kq: djrh gS] rks tqrkbZ fdrus ctsiwjh gks tk;sxhA(a) 6 p.m. (b) 6.30 p.m.(c) 5 p.m. (d) 5.30 p.m.

65. A, B and C can do a piece of work in 20, 30 and 60days respectively. In how many days can A do the work

if he is assisted by B and C on every third day ?

A, B vkSj C fdlh dke dks Øe’k% 20] 30 rFkk 60 fnuksaesa [kRe djrs gS ;fn B rFkk C izR;sd rhljs fnu dke eas Adh lgk;rk djsaA rks A fdrus fnuksa esa dke [kRe djsxk\(a) 10 days/ fnu (b) 12 days/ fnu(c) 15 days/ fnu (d) 20 days/ fnu

66. A, B and C can do a piece of work in 30, 20 and 10days respectively. A is assisted by B on one day andby C on next day alternatively. How long would thework take to finish

A, B vkSj C fdlh dke dks Øe’k% 30] 20 rFkk 10 fnuksaesa dj ldrs gSaA B rFkk C ckjh&ckjh ls dke esa A dhlgk;rk djrs gS rks dke fdrus fnuksa esa lekIr gksxk\

(a) 8

39 days/ fnu (b)

8

34 days/ fnu

(c) 13

48 days/ fnu (d)

13

93 days/ fnu

TYPE-VII67. A can do a piece of work in 5 days less than the time

taken by B to do it, if both of them together take 9

111 days,

then the time taken by B alone to do the same work(in day) isA fdlh dks B dh rqyuk esa 5 fnu igys lekIr dj

ldrk gSA ;fn nksuks dke dks 9

111 fnuksa esa lekIr djrs

gS rks B vdsys dke dks fdrus fnu esa lekIr djsxk \(a)18 days/ fnu (b) 24 days/ fnu(c) 30 days/ fnu (d) 25 days/ fnu

68. A takes 10 days less than the time taken by B to finisha piece of work . If both A and B can do it in 12 days,then the time taken by B alone to finish the work isA fdlh dke dks B dh rqyuk esa 10 fnu igys lekIrdj ldrk gSA ;fn nksuks feydj dke dks 12 fnuksa esalekIr dj ldrs gS rks B vdsys dke dks fdrus fnuksa esalekIr djsxk \(a) 30 days/ fnu (b) 27 days/ fnu(c) 20 days/ fnu (d) 25 days/ fnu

69. Three men A, B and C working together can do a jobin 6 hours less time than A alone, in 1 hour less timethan B alone and in one and half the time needed by Cwhen working alone . Then A and B together can dothe job inA, B rFkk C feydj fdlh dke dks A dh rqyuk es 6 ?kaVsde rFkk B dh rqyuk esa 1 ?kaVs de esa djrs gaS rFkk C dhrqyuk esa vk/ks le; esa iwjk djrs gaS] rks A rFkk B feydjdke fdrus ?kaVks iwjk djsxs\(a) 2/3 hour/ ?kaVs (b) 2/3 hour/ ?kaVs(c) 3/2 hour/ ?kaVs (d) 4/3 hour/ ?kaVs

70. Two workers A and B are engaged to do a piece ofwork . A working alone would take 8 hours more tocomplete the work than when working together. If B

worked alone would take 2

14 hours more than when

worked together. The time required to finish the worktogether isnks dkexkj A vkssSj B fdlh dke dks djus ds fy, yxk,x, gSaA A dks feydj dke djus dh rqyuk esa vdsys dkeiwjk djus esa 8 ?kaVs vf/kd yxsaxsA B dks feykdj dke

djus dh rqyuk esa vdsys dke djus esa 2

14 ?kaVs vf/kd

yxsaxsA ;fn nksuks feydj dke djsaxs rks fdruk le;yxsxkA(a) 5 hours/ ?kaVs (b) 8 hours/ ?kaVs(c) 4 hours/ ?kaVs (d) 6 hours/ ?kaVs

227

TIME & WORK

TYPE-VIII

71. A can cultivate 2/5th of a land in 6 days and B cancultivate 1/3th of the same land in 10 days. Workingtogether A and B can cultivate 4/5th of the land in

A tehu dk 2/5 Hkkx 6 fnuksa esa vkSj B tehu dk 1/3

Hkkx 10 fnuksa es tksRk ldrk gSA A vkSj B ,d lkFk dkedjds 4/5 Hkkx tehu dks fdrus fnuksa esa tksrsxsa\(a) 4 days/ fnu (b) 5 days/ fnu(c) 8 days/ fnu (d) 10 days/ fnu

72. A does 2/5 of a work in 9 days. Then B joined him andthey together completed the remaining work in 6 days.B alone can finish the whole work inA fdlh dke 2/5 Hkkx dks 9 fnu esa djrk gSA fQj B vktkrk gS vkSj os nksuksa fey dj ’ks"k dke 6 fnu esa lekIRkdj nsrs gSaA B vdsyk ml dke dks fdrus fnu esa iwjkdjsxk\ [SSC CGL Mains -2016]

(a) days13

126 / fnu (b) days

11

28 / fnu

(c) 10 days/ fnu (d) 18 days/ fnu73. A does 50% of a work in 12 days. He then calls in B and

they together finish the remaining work in 8 days. Howlong B alone would take to complete the whole work?A fdlh dke dk 50%] 12 fnu esa iwjk djrk gS] fQj ogB dks cqykrk gS rFkk os nksuksa feydj cpk gqvk dke 8fnu esa iwjk djrs gSA iwjk dke vdsys djus esa B dksfdruk le; yxsxk\ [CHSL-2017]

(a)12 days/fnu (b) 24 days/fnu(c) 36 days/fnu (d) 48 days /fnu

74. P can do (1/4)th of work in 10 days, Q can do 40% ofwork, in 40 days and R can do (1/3)rd of work in 13days. Who will complete the work first?P, 10 fnuksa esa dk;Z dk (1/4)oka Hkkx iwjk dj ldrk gSAQ, 40 fnuksa esa dk;Z dk 40% Hkkx iwjk dj ldrk gS vkSjR, 13 fnuksa esa dk;Z dk (1/3)oka Hkkx iwjk dj ldrk gSAlcls igys dkSu og dk;Z lekIr djsxk\

[SSC CGL Mains (ReExam) -2016]

(a) P (b) Q(c) R (d) Both P and R

75. In two days A, B and C together can finish2

1of a work

in 2 days and in another 2 days B and C together can

finish 10

3part of the work . Then A alone can complete

the whole work in.

2 fnuksa esa A, B vksSj C feydj 2

1dke iwjk dj ldrs gS

vkSj vxys 2 fnuks esa B vkSj C feydj 10

3dk;Z iwjk dj

ldrs gSaA rc A vdsyk leLr dke fdru fnuksa esa iwjkdj ldrk gS(a) 15 days/ fnu (b) 10 days/ fnu(c) 12 days/ fnu (d) 14 days/ fnu

76. John does 1/2 piece of work in 3 hours, Joe does 1/4of the remaining work in 1 hour and George finishesremaining work in 5 hours. How long would it havetaken the three working together to do the work?tkWu fdlh dke ds 1@2 Hkkx dks 3 ?kaVs esa djrk gS] tks,’ks"k dke dk 1@4 Hkkx 1 ?kaVs esa djrk gS vkSj tkWtZ ’ks"kdke 5 ?kaVs esa lekIr dj nsrk gSA ;fn os rhuksa fey djdke djrs rks dke fdrus le; esa lekIr gks tkrk\

[SSC CGL Mains -2016]

(a) 7

12 days/ fnu (b)

7

13 days/ fnu

(c)11

83 days/ fnu (d)

11

82 days/ fnu

TYPE-IX77. While working 7 hours a day, A alone can complete a

piece of work in 6 days and B alone in 8 days. In whattime would they complete it by working together 8hours a day ?

A 7 ?kaVs izfrfnu dke djds ,d dke dks 6 fnu esalekIr djrk gS] tcfd B brus gh ?kaVs izfrfnu dkedjds mlh dke dks 8 fnuksa esa lekIr djrk gSA rks nksuksfeydj 8 ?kaVs izfrfnu dke djds dke dks fdrus le;esa [kRe djsxsa \(a) 3 days/ fnu (b) 4 days/ fnu(c) 2.5 days/ fnu (d) 3.6 days/ fnu

78. Dinesh and Rakesh are working on an Assignment,Dinesh takes 6 hours to type 32 pages on a computer,while Rakesh takes 5 hours to type 40 pages. Howmuch time will they take working together on twodifferent computers to type an assignment of110 pages?

fnus’k vkSj jkds’k fdlh ifj;kstuk ij dke dj jgs gSAfnus’k dEI;wVj ij 6 ?kaVs esa 32 i``"B Vkbi djrk gSAjkds’k 5 ?kaVs esa 40 i``"B Vkbi djrk gS rks nksuks feydj110 i``"Bksa dh ifj;kstuk dks vyx vyx dEI;wVj ijfdrus le; esa Vkbi djasxsA(a) 7 hrs, 30 min (b) 8 hrs/ ?kaVs(c) 8 hrs, 15 min (d) 8 hrs, 25 min

228

TIME & WORK

79. x can copy 80 pages in 20 hours. x and y together cancopy 135 pages in 27 hours . Then y can copy 20 pagesinx 20 ?kaVs esa 80 i"Bksa dh dkWih dj ldrk gS] x vkSj y

feydj 27 ?kaVs esa 135 i`"Bksa dh dkWih dj ldrs gSa] rks y

vdsys 20 i"Bksa dh dkWih fdrus le; esa dj ldrk gS \(a) 20 hours/ ?kaVs (b) 24 hours/ ?kaVs(c) 30 hours/ ?kaVs (d) 12 hours/ ?kaVs

80. A can write 75 pages in 25hrs, A and B together canwrite 135 pages in 27 hrs. In what time can B write 42pages ?

A 25 ?kaVs esa 75 i`"B fy[k ldrk gSA A vkSj B nksuksfeydj 27 ?kaVs esa 135 i``"B fy[k ldrs gS rks B, 42 i`"Bfdrus le; esa fy[ksxk \(a) 17 hrs / ?kaVs (b) 19 hrs/ ?kaVs.(c) 21 hrs / ?kaVs (d) 23 hrs/ ?kaVs

TYPE- X

81. A and B can complete a piece of work in 15 days and10 days respectively. They contracted to complete thework for Rs. 30,000. The share of A in the contractmoney will be

A vkSj B fdlh dk;Z dks Øe’k% 15 fnuksa rFkk 10 fnuksa esa[kRe dj ldrs gSA mUgksus 30]000 :i;s esa ,d dk;Zdjus dk Bsdk fy;k rks dqy jkf’k esa ls A dk fgLlkfdruk gksxk\(a) Rs. 18,000 (b) Rs. 16,500(c) Rs. 12,500 (d) Rs. 12,000

82. Two men undertook to do a job for Rs. 1400. One ofthem can do it alone in 7 days and the other in 8 days.With the assistance of a boy they together completedthe work in 3 days. How much money will the boy get?

nks O;fDr;ksa us 1400 :- es ,d dke djus dk Bsdk fy;kAmuesa ls ,d bl dke dks 7 fnu esa dj ldrk gS tcfdnwljk bls 8 fnu esa dj ldrk gSA ,d yM+ds dhlgk;rk ls mUgksus 3 fnuksa esa dke [kRe dj fn;k rksyM+ds dks fdrus :Ik;s feysaxs \(a) Rs. 300 (b) Rs. 325(c) Rs. 275 (d) Rs. 250

83. A, B and C completed a work costing Rs 1800. Aworked for 6 days, B for 4 days and C for 9 days. Iftheir daily wages are in the ratio of 5 : 6 : 4. Howmuch amount will be received by A ?

A, B rFkk C us 1800 :i;s dk ,d dke [kRe fd;kA A

us 6 fnu dke fd;k] B us 4 fnu ,oa C us 9 fnu dkefd;k ;fn mudh nSfud etnwjh dk vuqikr 5 : 6 : 4 gS]rks A dks fdrus :Ik;s feysaxs \(a) Rs. 800 (b) Rs. 600(c) Rs .900 (d) Rs. 750

84. Three persons undertake to complete a piece of workfor Rs. 1200. The first person can complete the work in8 days, second person in 12 days and third person in 16days. They complete the work with the help of a fourthperson in 3 days. What does the fourth person get ?

rhu O;fDr 1200 :Ik;s esa ,d dke djus dk Bsdk ysrsgSA igys O;fDr 8 fnu esa dke iwjk dj ldrk gS] nwljkO;fDr 12 fnu esa rFkk rhljk O;fDr 16 fnu esa dke iwjkdj ldrk gSaA pkSFks O;fDr dh lgk;rk ls os 3 fnu esadke lekIr dj nsrs gaS rks pkSFks O;fDr dks fdrus :Ik;sizkIr gksxsa \(a) Rs. 180 (b) Rs.200(c) Rs.225 (d) Rs.250

85. A and B undertake a piece of work for Rs 250. A alonecan do the work in 5 days and B alone can do the workin 15 days. With the help of C, they finish the work in3 day. If every one gets paid in proportion to workdone by them, the amount that C will get is A vkSj B ,d dke dks 250 :- esa djus dh ftEesnkjh ysrsgSA A ml dke dks vdsys 5 fnu esa vkSj B ml dke dksvdsys 15 fnu esa dj ldrk gSA os C dh enn ls dkedks 3 fnu esa iwjk dj ysrs gSA ;fn lHkh dks dk;Z dsvuqikr esa ikfjJfed feyrk gks rks C dks fdruh jkf’kfeysxh\ [SSC CGL Pre. -2016](a) Rs 50 (b) Rs 100(c) Rs 150 (d) Rs 200

86. A, B and C are employed to do a piece of work for Rs

575. A and C are supposed to finish 23

19of the work

together. Amount shall be paid to B is

A, B rFkk C dks fdlh dk;Z dks :- 575 esa djus ds fy,dke ij j[kk tkrk gSA A vkSj C feydj 19/23 dke iwjkdj ysrs gSA rks B dks fdruh jkf’k iznku dh xbZ\(a) Rs.210 (b) Rs. 100(c) Rs.200 (d) Rs. 475

87. A, B and C contract a work for Rs 440. Together A andB are to do 9/11 of the work. The share of C should beA, B vkSj C fdlh dks :- 440 esa djus dk Bsdk ysrs gSaAA vkSj B dks feydj 9@11 Hkkx dke djuk gSA C dk’ks;j D;k gksuk pkfg,\ [SSC CGL Pre. -2016]

(a) 75 (b) 90(c) 100 (d) 80

88. A skilled, a half skilled and an unskilled labourer workfor 7,8 and 10 days respectively and they together getRs. 369 for their work . If the ratio of their each day’s

work is 6

1:

4

1:

3

1, then how much does the skilled

labourer get ( in rupees )?

229

TIME & WORK

,d dq’ky] ,d v)Zdq’ky rFkk ,d vdq’ky etnwjØe’k% 7] 8 rFkk 10 fnu rd dke djrs gaS rFkk mUgasmuds dke ds fy, 369 :i;s feyrs gSA ;fn muds

izfrfnu ds dke dk vuqikr 6

1:

4

1:

3

1 gS] rks dq’ky etnwj

dks fdrus :Ik;s izkIr gksxsa \(a) 164 (b) 102, 50(c) 201.50 (d) 143.50

89. The labourers A,B,C were given a contract of Rs750for doing a certain piece of work. all the three togethercan finish the work in 8 days. A and C together can doit in 12 days, while a A and B together can do it in

.days3

113 the money will be divided in the ratio.

rhu Jfedks A,B,C dks Bsds ij 750 :- ij fdlh dk;Zdks iwjk djus ds fy;s yxk;k x;kA ;s rhuksa feydj bldk;Z dks 8 fnu esa lekIr dj ldrs gSA A vkSj C

feydj bls 12 fnuksa esa] tcfd A vkSj B feydj bls

3

113 fnuksa esa iwjk dj ldrs gSaA esgurkus dh jde dks

fdl vuqikr esa foHkkftr fd;k tk;sxk \[SSC CGL Mains (ReExam) -2016]

(a) 4:5:6 (b) 4:7:5(c) 5:7:4 (d) 5:6:8

Miscellaneous Questions

90. 40 men can complete a piece of work in 40 days. Theystarted the work together. But at the end of each 10thday, 5 men left the job . The work would have beencompleted in

40 yksx fdlh dke dks 40 fnuks esa dj ldrs gSA mUgksus,d lkFk dke djuk ’kq: fd;kA ysfdu izR;sd 10 fnuds varjky ij 5 yksx dke NksM+ nsrs gS] rks dke fdrusfnuksa esa lekIr gksxk \

(a) 3

256 days/ fnu (b)

3

153 days/ fnu

(c) 52 days/ fnu (d) 50 days/ fnu91. 40 men can do piece of work in 40 days. They started

work together but at the end of each 10th day, 5 menjoined the job then the work will be completed in40 yksx fdlh dke dks 40 fnuksa esa dj ldrs gSA mUgksus,d lkFk dke djuk ’kq: fd;k ysfdu izR;sd 10 fnu dsvUrjky ij ;fn 5 yksx dke esa tqM+ tkrs gaS rks dkefdrus fnuksa esa lekIr gksxk\

(a) 11

532 days/ fnu (b)

11

242 days/ fnu

(c) 3

223 days/ fnu (d)

11

634 days/ fnu

92. If there is a reduction in the number of workers in afactory in the ratio of 15 :11 and an increment in theirwages in the ratio of 22 : 25 then the ratio by whichthe total wages of the workers should be decreased is

;fn fdlh QSDVªh ds etnwjksa dh la[;k esa 15:11 dsvuqikr esa deh gksrh gS rFkk etnwj a dh etnwjh esa22 : 25 ds vuqikr ess o``f) gksrh gS rks etnwjksa dh dqyetnwjh esa fdl vuqikr esa deh vk,xh \(a) 6 : 5 (b) 5 : 6(c) 3 : 7 (d) 3 : 5

93. If a man earns Rs. 2000 for his first 50 hours of workin a week and is then paid one and one half times hisregular hourly rate for additional hours then the hourshe must work to make Rs. 2300 in a week is

;fn dksbZ O;fDr LkIRkkg esa igys 50 ?kaVks ds dke ds fy,2000 :i;s dekrk gS vkSj vfrfjDr le; ds fy, mldsfu;fer nj ls Ms<+ xquk Hkqxrku fd;k tk, rks lIRkkg esa2300 :i;s dekus ds fy, mls fdrus ?kaVs dke djukIkMsxk\(a) 6 hours / ?kaVs (b) 7 hours/ ?kaVs

(c) 4 hours/ ?kaVs (d) 5 hours/ ?kaVs94. A man, a woman and a boy can complete a job in 3, 4

and 12 days. How many boys must assist 1 man and 1woman to complete the job in 1/4 of a day ?

1 iq:"k] 1 efgyk rFkk 1 cPPkk fdlh dke dks Øe’k% 3]4 rFkk 12 fnuksa esa dj ldrs gaSA dke dks 1/4 fnuksa esa[kRe djus ds fy;s 1 iq:"k rFkk 1 efgyk ds lkFk fdrusyM+ds vfuok;Z :Ik ls yxk, tk,axs \(a) 10 (b) 40(c) 19 (d) 41

95. A man, a woman and a boy can complete a piece ofwork in 20 days, 30 days and 60 days respectively.How many boys must assist 2 men and 8 women so asto complete the work in 2 days ?

1 iq:"k] 1 L=h rFkk 1 yM+dk fdlh dke dks Øe’k% 20]30 rFkk 60 fnuksa esa lekIr dj ldrs gSa] rks nks fnuks esadke [kRe djus ds fy, 2 iq:"k rFkk 8 fL=;ksa ds lkFkfdrus yM+dksa dh t:jr gksxh \(a) 8 (b) 12(c) 4 (d) 6

230

TIME & WORK

96. A labourer was appointed by a contractor on thecondition that he would be paid Rs. 75 for each day ofhis work but would be fined at the rate of Rs. 15 perday for his absence. After 20 days the contractor paidthe labourer Rs. 1140. The number of days the labourerabsented from work was

,d Bsdsnkj us ,d etnwj dks bl ’krZ ij dke ij yxk;kfd izfrfnu dke djus ds fy, mls 75 :Ik;s feysxaas rFkkizR;sd vuiqfLFkr fnu ds fy;s mls 15 :Ik;s dk tqekZuknsuk gksxkA 20 fnuksa ds ckn Bsdsnkj us etnwj dks 1140:Ik;s fn;s rks og fdrus fnu dke ls vuqifLFkr Fkk \(a) 3 days/ fnu (b) 5 days/ fnu(c) 4 days/ fnu (d) 2 days/ fnu

97. The daily wages of A and B are Rs 3.50 and 2.50.respectively. When A finishes a certain work, he geta total wage of Rs 63. When B does the same work, hegets a total wage of Rs 75. If both of them do it together.What is the cost of the work.

A vkSj B dh nSfud etnwjh Øe’k% 3-50 :- vkSj 2-50 :-gSA A tc dke lekIr dj ysrk gS rks mls dqy 63 :-etnwjh ds :i esa feyrs gSA tc B mlh dke dks djrkgS rks etnwjh ds :i esa 75 :- feyrs gSA ;fn os nksuksa ,dlkFk feydj ogh dke djsaA rks dke dh D;k ykxrvk;sxh \ [SSC CGL Mains -2016]

(a) Rs 67.50 (b) Rs 27.50(c) Rs 60.50 (d) Rs 70.50

98. Ram and Hari can cut 12 kgs nuts in 2 days. After 5days, Hari left the work, Ram took 8 more days to cutthe rest of the nuts. If total of 58 kgs of nuts were cut,the time taken by Hari to cut 10 kg of nuts isjke vkSj gjh 12 fd-xzk- fxjh 2 fnu esa dkV ldrs gSA 5fnu ckn gjh dke NksM+dj pyk tkrk gSA jke dks ’ks"kfxjh dkVus esa 8 fnu vkSj yxsA ;fn dqy 58 fd-xzk- fxjhdkVh xbZ rks gjh dks 10 fd-xzk- fxjh dkVus esa fdrukle; yxk \ [SSC CGL Pre. -2016]

(a) 1 day/ fnu (b) 2 days/ fnu(c) 3 days/ fnu (d) 4 days/ fnu

Work and WagesTYPE -I

99. If 3 men or 6 women can do a piece of work in 16days, in how many days can 12 men and 8 women dothe same piece of work ?;fn 3 iq:"k ;k 6 efgyk,a ,d dke dks 16 fnu esa djldrs gaS] rks 12 iq:"k rFkk 8 efgyk,a mlh dke dksfdrus fnuksa djasxs \(a) 4 days /fnu (b) 5 days /fnu(c) 3 days /fnu (d) 2 days /fnu

100. If 3 men or 4 women can plough a field in 43 days. howlong will 7 men and 5 women take to plough it ?;fn 3 iq:"k ;k 4 fL=;ka ,d [ksr dks 43 fnuksa esa tksrldrs gS rks 7 iq:"k rFkk 5 efgyk;sa mlh [ksr dks fdrusfnu esa tksrsxh \(a) 10 days/ fnu (b) 11 days/ fnu(c) 9 days/ fnu (d) 12 days/ fnu

101. 6 men or 12 women can do a piece of work in 20 days.In how many days can 8 men and 16 women do twiceas big as this work6 iq:"k ;k 12 efgyk,a ,d dke dks 20 fnuksa esa djldrs gS] rks 8 iq:"k vkSj 16 efgyk,a nksxqus dke dksfdrus fnuksa esa [kRe djsaxs\(a) 2 days/ fnu (b) 5 days/ fnu(c)15 days/ fnu (d) 10 days/ fnu

102. If 12 men or 24 boys can do a work in 66 days, thenumber of days in which 15 men and 6 boys can do it is;fn 12 iq:"k ;k 24 yM+ds fdlh dke dks 66 fnu esas djldrs gSa] rks 15 iq:"k rFkk 6 yM+ds fdrus fnu esa dkedks iwjk djasxs \(a) 44 days/ fnu (b) 33 days/ fnu(c) 55 days/ fnu (d) 66 days/ fnu

103. If 4 men or 6 women can do a piece of work in 12 daysworking 7 hours a day. In how many days will it taketo complete a work twice as large with 10 men and 3women working together 8 hours a day;fn 4 iq:"k ;k 6 efgyk,sa 7 ?kaVs izfrfnu dke djaas rkss,d dke dks 12 fnukas es lekIr dj ldrs gSa] rks 10iq:"k rFkk 3 efgyk,a feydj 8 ?kaVs izfrfnu dke djdsnksxqus dke dks fdrus fnu esa lekIr djsxasA(a) 6 days/ fnu (b) 7 days/ fnu(c) 8 days/ fnu (d) 10 days/ fnu

104. If 1 man or 2 women or 3 boys can complete a piece ofwork in 88 days, then 1 man, 1 woman and 1 boytogether will complete it in ?;fn 1 iq:"k ;k 2 efgyk,a ;k 3 yM+ds fdlh dke dks 88fnuksa esa dj ldrs gS] rks 1 iq:"k] 1 efgyk vkSj 1 yM+dkml dke dks fdrus fnuksa esa iwjk djsxsaA(a) 36 days/ fnu (b) 42 days/ fnu(c) 48 days/ fnu (d) 54 days/ fnu

105. If 40 men or 60 women or 80 children can do a pieceof work in 6 months , then 10 men , 10 women and 10children together do half of the work in;fn 40 iq:"k ;k 60 efgyk,a ;k 80 cPps fdlh dke dks6 eghus esa lekIr dj ldrs gS rks 10 iq:"k 10 efgyk,sarFkk 10 cPps feydj vk/ks dke dks fdrus fnuksa esa lekIrdjsaxs \

231

TIME & WORK

(a) 13

65 months (b) 6 months

(c)13

75 months (d)

13

111 months

TYPE-II

106. 20 women together can complete a piece of work in16 days. 16 men together can complete the same workin 15 days. The ratio of the working capacity of a manto that of a woman is20 fL=;ka feydj fdlh dke dks 16 fnuksa esa [kRe djldrh gSa rFkk 16 iq:"k feydj mlh dke dks 15 fnuksaeas [kRe dj ldrs gSA] rks iq:"kkas rFkk fL=;kssa dh dk;Z{kerkdk vuqikr Kkr djasA(a) 3 : 4 (b) 4 : 3(c) 5 : 3 (d) 4 : 5

107. 5 men and 2 women working together can do four timesas much work per hour as a man and a woman together.The work done by a man and a woman should be inthe ratio5 iq:"k rFkk 2 fL=;ka] 1 iq:"k rFkk 1 L=h ds izfr ?kaVsdke ds pkj xquk dke dj ldrs gSA rks ,d iq:"k rFkk,d L=h ds dke dk vuqikr D;k gksxk \(a) 1:2 (b) 2:1(c)1:3 (d) 4 : 1

108. A man and a woman working together can do a certainwork in 18 days. Their skills in doing the work are inthe ratio 3:2. How any days will the woman take tofinish the work alone?,d iq:"k vkSj ,d L=h ,d lkFk feydj fdlh dke dks18 fnuksa es dj ldrs gSA mudh dk;Z{kerk 3:2. dsvuqikr esa gSA L=h vdsyh ml dke dks fdrus fnuksa esa[kRe djsxhA(a) 45 days/ fnu (b) 36 days/ fnu(c) 27 days/ fnu (d) 30 days/ fnu

109. Two men can do a piece of work in x days. But y womencan do it in 3 days. Then the ratio of the work done by1 man and 1 woman isnks iq:"k fdlh dke dks x fnuksa esa iwjk djrs gS ysfdu yefgyk,s mlh dke dks 3 fnuksa esa iwjk djrh gS] rks 1 iq:"krFkk 1 efgyk ds dke dk vuqikr Kkr djsa \(a) 3y : 2x (b) 2x : 3y(c) x : y (d) 2y : 3x

110. A man is twice as fast as a woman and a woman istwice as fast as a boy in doing a work. If all of them aman, a woman and a boy can finish the work in7 days.A boy will do it alone?

,d iq:"k dh dk;Z{kerk ,d efgyk dh dk;Z{kerk dh nksxquh gS rFkk ,d efgyk dh dk;Z{kerk ,d cPps dhdk;Z{kerk dh nks xquh gSA ;fn 1 iq:"k 1 efgyk rFkk 1cPpk feydj fdlh dke dks 7 fnuksa eas iwjk dj ldrs gaSrks ,d yM+dk vdsys fdrus fnuksa eas dke iwjk djsxk \(a) 48 days/ fnu (b) 49 days/ fnu(c) 50 days/ fnu (d) 35 days/ fnu

111. 5 men can do a piece of work in 6 days while 10 womencan do it in 5 days. In how many days can 5 womenand 3 men do it ?5 iq:"k ,d dke dks 6 fnu es dj ldrs gSa tcfd 10efgyk,a mlh dke dks 5 fnu esa dj ldrh gSaA rks 5efgyk,a vkSj 3 iq:"k mlh dke dks fdrus fnuksa esa iwjkdjsaxs \(a) 4 days/ fnu (b) 5 days/ fnu(c) 6 days/ fnu (d) 8 days/ fnu

112. A wall of 100 meters can be built by 7 men or 10 womenin 10 days. How many days will 14 men and 20 womentake to build a wall of 600 meters.100 ehVj yEch nhokj dks 7 iq:"k ;k 10 fL=;ka 10 fnuksesa cuk ldrs gSsA 14 iq:"k rFkk 20 fL=;k¡ 600 ehVjyEch nhokj fdrus fnuksa esa cuk,xsa \(a) 15 (b) 20(c) 25 (d) 30

113. A man does double the work done by a boy in the sametime. The number of days that 3 men and 4 boys willtake to finish a work which can the done by 10 men in8 days is.

,d vkneh leku le; esa ,d yM+ds ls nksxquk dkedjrk gSA crkb;s og dke 3 vkneh vkSj 4 yM+ds fdrusfnu esa dj ysaxs tks 10 vkneh 8 fnu esa djrs gaS \

[SSC CGL Mains -2016]

(a) 11 (b) 16

(c) 11

37 (d)

5

4

TYPE-III

114. 4 men and 6 women complete a work in 8 days, 2 menand 9 women also complete in 8 days. The number ofdays in which 18 women complete the work is.;fn 4 iq#"k rFkk 6 efgyk;sa fdlh dke dks 8 fnuksa esalekIr djrs gS] vkSj 2 iq#"k rFkk 9 efgyk,a Hkh dke dks8 fnuksa ess lekIr djrs gS rks 18 efgyk,a mlh dke dksfdrus fnuksa esa lekIr djasxhA

(a) 53

1 (b) 5

3

2(c) 4

3

1(d) 4

3

2

232

TIME & WORK

115. 2 men and 1 women together can complete a piece ofwork in 14 days while 2 men and 4 women can do thesame work in 8 days. If a man gets 600 per day. Howmuch should a woman get per day2 iq#"k rFkk 1 efgyk fdlh dke dks 14 fnuksa esa djldrs gSa]tcfd 2 iq#"k vkSj 4 efgyk,a mlh dke dks 8fnuksa esa dj ldrs gSA ;fn ,d iq#"k dks izfrfnu 600#i;s feyrs gSa] rks ,d efgyk dks izfrfnu fdrus #i;sfeysaxsA(a) 400 (b) 450

(c) 480 (d) 360

TYPE-IV

116. A certain number of men can complete a job in 30 days.If there were 5 men more, it could be completed in 10days less. How many men were in the beginningdqN iq:"k ,d dke dks 30 fnuksa esa [kRe dj ldrs gSaA;fn 5 iq:"k vkSj vk tk, rks dke 10 fnu igys [kRe gks

tkrk gSA vkjEHk esa fdrus iq:"k FksA(a) 10 (b) 15(c) 20 (d) 25

117. A certain number of men can do a work in 60 days. Ifthere were eight more men. It could be complete in 10days less. How many men were there in the beginning?dqN O;fDr fdlh dk;Z dks 60 fnuksa esa dj ldrs gSaA ;fn8 O;fDr vkSj vk tk, rks dk;Z 10 fnu igys [kRe gksldrk gS rks vkjEHk esa fdrus O;fDRk dk;Z dj jgs Fks \(a) 70 (b) 55(c) 45 (d) 40

118. 8 men can do a work in 12 days. After 6 days of work4 more men were engaged to finish the work . In howmany days would the remaining work be completed ?8 iq:"k ,d dke dks 12 fnuksa esa dj ldrs gaSA 6 fnudke ds Ik’pkr~ 4 vkSj iq:"k dke ij yxk, tkrs gSa] rks

’ks"k dke fdrus fnuksa esa [kRe gksxk\(a) 2 days/ fnu (b) 3 days/ fnu(c) 4 days/ fnu (d) 5 days/ fnu

119. A job can be completed by 12 men in 12 days. Howmany extra days will be needed to complete the job if6 men leave after working for 6 days ?12 yksx fdlh dke dks 12 fnuksa esa dj ldrs gaSA ;fn 6yksx 6 fnu dke djds dke NksM nas] rks dke dks [kRe

gksus esa vfrfjDr fdrus fnu yxsaxs \(a) 3 days/ fnu (b) 6 days/ fnu(c) 12 days/ fnu (d) 24 days/ fnu

120. 16 women take 12 days to compete a work which canbe completed by 12 man in 8 days. 16 men started

working and after 3 days 10 men leave the job and 4women join them. How which time will they take tocomplete the remaining work ?16 efgyk,a fdlh dke dks 12 fnuksa esa iwjk dj ldrh gSftls 12 iq:"k 8 fnu esa dj ldrs gaSA 16 iq:"k dkedjuk ’kq: djrs gaS vkSj 3 fnu ds ckn 10 iq:"k dkeNksM nsrs gSa vkSj mudh txg 4 efgyk,a vk tkrh gSa rks

’ks"k dke fdrus fnuksa esa iwjk gksxk \(a) 4 days/ fnu (b) 6 days/ fnu(c) 8 days/ fnu (d) 10 days/ fnu

121. The time taken by 4 men to complete a job in double thetime taken by 5 children to complete the same job. Eachman is twice as fast as a women. How long will 12 men,and 10 children and 8 women take to complete a job,given that a child would finish the job in 20 days.

5 cPpksa dks fdlh dk;Z dks iwjk djus es atks le; yxrkgS mlls nksxquk le; mlh dk;Z dks iwjk djus esa 4 iq:"kksadks yxkrk gSA izR;sd iq:"k efgyk dh rqyuk esa nksxquhxfr ls dk;Z djrk gSA bl dk;Z dks iwjk djus ds fy, 12iq:"kksa] 10 cPpksa vkSj 8 efgykvksa dks fdruk le; yxsxk];fn ;g eku fy;k tk, fd ,d cPpk ;g dk;Z 20 fnuksaesa iwjk djsxk\ [SSC CGL Mains (ReExam) -2016]

(a) 4 days/ fnu (b) 2 days/ fnu(c) 1 day/ fnu (d) 5 days/ fnu

TYPE-V

122. if x men can do a piece of work in x days then thenumber of days in which y men can do the same work

is

;fn x O;fDr fdlh dke dks x fnuksa dj ldrs gSa] rks

mlh dke dks y vkneh fdrus fnuksa esa iwjk djsxasa \

(a) xy days/ fnu (b) x

y2

days/ fnu

(c)y

x 2

days/ fnu (d) yx2 days/ fnu

123. If the work done by )1x( men in (x+1) days and the

work done by (x+2) in (x-1) days are in the ratio 9:10,

then the value of x is equal to

;fn )1x( O;fDRk ds }kjk )1x( fnuks esa fd, x, dke

rFkk )2x( O;fDr;ksa ds }kjk )1x( fnuksa esa fd, x,

dke dk vuqikr 9:10 gSa rks xdk eku Kkr djsa \(a) 5 (b) 6(c) 7 (d) 8

233

TIME & WORK

124. Work done by (x+4) men in (x+5) days is equal to thework done by (x–5) men in (x+20) day. Then the value

of x is

(x+4) O;fDr;ksa }kjk )5x( fnuksa esa fd;k x;k dk;Z

)5x( O;fDr;ks }kjk )20x( fnu esa fd, x, dk;Z ds

cjkcj gS] rks x dk eku crkb;sa A(a) 15 (b) 20(c) 25 (d) 30

125. The ratio of the amount of work done by (x-1) laboursin (x+1) days and that done by (x+1) labours in (x+2)days is 5:6. Then the value of x is

(x-1) Jfedksa }kjk (x+1) fnu esa fd;s x;s dk;Z dk vkSj(x+1) Jfedksa }kjk(x+2) fnu esa fd;s x, dk;Z dk vuqikr5%6 gS] rks x dk eku crkb,A [SSC CGL Mains -2016]

(a) 16 (b) 15(c) 17 (d) 14

126. If 12 men working 8 hours a day complete the work in

10 days, how long would 16 men working 72

1hours a

day take to complete the same work?

;fn 12 O;fDr 8 ?kaVs dke djds fdlh dke dks 10 fnu

esa iwjk djrs gSa rks 16 O;fDr izfr fnu 2

17 ?kaVs dke

djds mlh dke dks fdrus fnu esa iwjk djsaxs \(a) 8 days/ fnu (b) 10 days/ fnu(c) 6 days/ fnu (d) 7 days/ fnu

127. 5 persons can prepare an admission list in 8 daysworking 7 hours a day. If 2 persons join them so ascomplete the work in 4 days, how many hours they

need to work

5 O;fDRk 7 ?kaVs izfrfnu dke djds ,d ukekadu lwph 8fnuksa esa rS;kj djrs gSA dke dks 4 fnu esa [kRe djus dsfy, 2 O;fDr vkSj vk tkrs gS] rks mUgsa izfrfnu fdrus

?kaVs dke djuk gksxk \(a) 10 hours (b) 9 hours(c) 12 hours (d) 8 hours

128. 12 persons can do a piece of work in 4 days. Howmany persons are required to complete 8 times the

work in half the time ?

12 O;fDr fdlh dk;Z dks 4 fnuksa esa dj ldrs gS rks 8

xquk dk;Z vk/ks le; esa fdrus O;fDr iwjk dj ldasxs \(a) 192 (b) 190(c) 180 (d) 144

129. Some persons can do a piece of work in 12 days. Twotimes the number of such persons will do half of the

work in

dqN O;fDr fdlh dk;Z dks 12 fnuksa esa lekIr dj ldrsgSa] rks nqxqus O;fDr vk/ks dke dks fdrus fnuksa esa lekIr

dj ldrs gSa \(a) 9 days/ fnu (b) 6 days/ fnu(c) 5 days/ fnu (d) 3 days/ fnu

130. If 20 women can lay a road of length 100m in 10 days.

10 women can lay the same road of length 50m in.

;fn 20 efgyk,a 100 eh- yach lM+d 10 fnu esa fcNkldrh gS rks 10 efgyk,a 50 eh- yach lM+d fdrus fnu

esa fcNk ldrh gSa \(a) 5 days/ fnu (b) 15 days/ fnu(c) 10 days/ fnu (d) 20 days/ fnu

131. If six men earn Rs 8400 per week by working 8 hoursdaily, then how much will 9 men earn per week by

working six hours daily?

;fn 6 O;fDr 8 ?kaVs izfrfnu dke djds 8400 :i;s izfrlIrkg dekrs gSa rks 9 O;fDr 6 ?kaVs izfrfnu dke djds

izfr lIrkg fdruk dek,axsa\(a) Rs 8400 (b) Rs 16800(c) Rs 16200 (d) Rs 9450

132. If p men working p hours per day for p days produce punits of work, then the units of work produced by n

men working n hours a day for n days is

;fn p iq:"k p ?kaVs izfrfnu dke djds p fnuksa esa p ;wfuVdke djrs gSaA rks n iq:"k n ?kaVs izfrfnu dke djdsn fnuksa esa fdrus ;wfuV dke djsaxs \

(a) 2

2

n

p (b) 2

3

n

p

(c) 2

2

p

n (d) 2

3

p

n

133. If 90 men can do a job in 16 days, working 12 hours/day, then part of that work which can be completed by70 men in 24 days, working 8 hours/day is;fn 90 vkneh izfrfnu 12 ?kaVs dke djds fdlh dke dks16 fnu esa iwjk dj ldrs gS] rks 70 vknfe;ksa }kjk 8 ?kaVsizfrfnu dke djds 24 fnu esa bl dke dk fdrukfgLlk iwjk fd;k tk ldrk gS\ [SSC CGL Mains -2015]

(a) 8

5 (b)

3

2

(c) 3

1(d)

9

7

234

TIME & WORK

134. A 10 hectare field is reaped by 2 men, 2 women and 4children together in 10 days. If working capabilitiesof a man, a woman and a child are in the ratio 5 : 4 : 2,then a 16 hectare field will be reaped by 6 men , 4

women and 7 children in

2 iq:"k 3 efgyk,a rFkk 4 cPps feydj 10 gsDVs;j [ksr dks10 fnuksa esa dkVrs gSA ;fn iq:"k efgyk rFkk cPpksa dhdk;Z{kerk dk vuqikr 5 : 4 : 2 gS rks 16 gsDVs;j [ksr dks

6 iq:"k] 4 efgyk,sa rFkk 7 cPps fdrus fnuksa esa dkVsxsa\(a) 5 days/ fnu (b) 6 days/ fnu(c) 7 days/ fnu (d) 8 days/ fnu

TYPE-VI

135. 4 mat weavers can weave 4 mats in 4 days. At the samerate how many mats would be weaved by 8 matweavers in 8 days ?4 pVkbZ cqudj 4 fnuksa esa 4 pVkbZ cqurs gS rks blh xfr

ls 8 cqudj 8 fnuksa esa fdruh pVkbZ cqusaxs \(a) 4 (b) 8(c) 12 (d) 16

136. If the expenditure of gas on burning 6 burners for 6hours a day for 8 days is Rs. 450, then how manyburners can be used for 10 days at 5 hours a day forRs. 625?6 cuZj dks 6 ?kaVs rd 8 fnuksa ds fy;s tyus dk [kpZ 450gS rks 625 esa 5 ?kaVs izfrfnu 10 fnuksa ds fy;s fdrus cuZj

tyk, tk ldrs gSa \(a) 12 (b) 16(c) 4 (d) 8

137. 12 monkeys can eat 12 bananas in 12 minutes. In howmany minutes can 4 monkeys eat 4 bananas?12 canj 12 dsys 12 feuV esa [kk ldrs gSa] rks 4 canj 4

dsys fdruh nsj esa [kk,xsa\(a) 4 minutes/ feuV (b) 10 minutes/ feuV(c) 12 minutes/ feuV (d) 8 minutes/ feuV

138. A canal of a village can be cleaned by 24 villagers in12 days. The number of days in which 36 villagerscan clean the canal is?

fdlh xkao dh ugj 24 xzkeokfl;ksa }kjk 12 fnu esa lkQdh tk ldrh gSA crkb, ml ugj dks 36 xzkeoklhfdrus fnu esa lkQ djsaxs\ [SSC CGL Mains -2016]

(a) 7 (b) 6(c) 8 (d) 9

139. If 10 men or 20 boys can make 260 mats in 20 days,then how many mats will be made by 8 men and 4boys in 20 days?;fn 10 iq:"k ;k 20 yM+ds 20 fnuksa esa 260 pVkb;ka cukldrs gSA 8 iq:"k rFkk 4 yM+ds 20 fnuksa esa fdruh

pVkb;ka cuk,axsa \(a) 260 (b) 240(c) 280 (d) 520

140. Dadiji can bake 30 cakes in 6 hours, Dadiji and Kakijitogether can bake 150 cakes in 15 hours. How manycakes Kakiji can bake in 25 hours?nknhth 6 ?kaVs esa 30 dsd cuk ldrh gS] nknhth vkSjdkdhth lkFk feydj 15 ?kaVs esa 150 dsd cuk ldrhgSA dkdhth 25 ?kaVs esa fdrus dsd cuk ldrh gS\(a) 100 (b) 200 [CHSL-2017](c) 125 (d) 300

TYPE-VII

141. A road of 5 km length will be constructed in 100 days.So 280 workers were employed. But after 80 days it

was found that only 2

13 km road was completed. Now

how many more people were need to finish the workin the specified time?5 fd-eh- yach lM+d dks 100 fnuksa esa cukus ds fy;s 280etnwjks dks dke ij yxk;k x;k ysfdu 80 fnuks ds ckn

irk pyk fd dsoy 2

13 fd-eh lM+d cu ikbZ gS] rks dke

dks le; ij iwjk djus ds fy;s fdrus vfrfjDr etnwjksa

dks dke ij yxkus dh t:jr gS \(a) 480 (b) 80(c) 200 (d) 400

142. 60 men could complete a piece of work in 250 days.They worked together for 200 days. After that the workhad to be stopped for 10 days due to bad weather. Howmany more men should be engaged to complete thework in time ?60 yksx fdlh dke dks 250 fnuksa esa dj ldrs gSA mUgksaus200 fnuksa rd lkFk dke fd;k mlds ckn [kjkc ekSleds dkj.k dke 10 fnuksa rd dke jksd fn;k x;k rks le;ij dke [kRe djus ds fy;s fdrus vfrfjDr yksxks dh

t:jr gksxh \(a) 10 (b) 15(c) 18 (d) 20

235

TIME & WORK

143. 35 persons are engaged to complete a work in 60 days.After 32 days it was observed that only 2/5th part ofthe work has been done. The number of additionalpersons to be engaged to complete the remaining workin the said period is.fdlh dk;Z dks 60 fnuksa esa iwjk djus ds fy, 35 O;fDr;ksadks yxk;k tkrk gSA 32 fnuksa ds ckn ;g irk pyrk gSfd dk;Z dk dsoy 2@5okWa Hkkx gh iwjk gks ik;k gSA ’ks"kdk;Z dks mDr vof/k esa iwjk djus ds fy;s fdrus vfrfjDrO;fDr;ksa dh vko’;drk gksxh\

[SSC CGL Mains (ReExam) -2016](a) 20 (b) 25(c) 30 (d) 35

144. A contractor undertakes to make a road in 40 days andemployees 25 men. After 24 days, he finds that onlyone third of the road is made. How many extra menshould he employ so that he is able to complete thework 4 days earlier?,d Bsdsnkj us 40 fnuks esas lM+d cukus dk Bsdk fy;kvkSj bl dk;Z ds fy;s mlus 25 iq:"kkas dh dke ijyxk;kA 24 fnu ds Ik’pkr~ mlus ik;k fd dsoy 1/3

Hkkx lM+d cu ik;h gSA rks 4 fnu igys dke [kRe djus

ds fy;s fdrus vfrfjDRk iq:"k dke ij yxkus gksxsa\(a) 100 (b) 60(c) 75 (d) none of these

145. A contractor undertook to complete a project in 90 daysand employed 60 Men on it. After 60 days, he foundthat 3/4 of the work has already been completed.How any men can he discharge so that the project maybe completed exactly on time ?,d Bsdsnkj 90 fnuksa esa ,d izkstsDV dks lekIr djus dkBsdk ysrk gS vkSj blds fy;s og 60 yksxksa dks dke ijyxkrk gSA 60 fnuksa ds i’pkr~ og ikrk gS fd 3/4 Hkkxdke gks x;k gS] rks le; ij dke iwjk gks tk, blds fy;s

og fdrus yksxks dks dke ij ls gVk ldrk gS \(a) 40 (b) 20(c) 30 (d) 15

146. A contractor undertook to finish a work in 92 days andemployed 110 men. After 48 days, he found that hehad already done 3/5 part of the work the number ofmen he can withdraw so that his work may still befinished in time,d Bsdsnkj 92 fnuksa esa fdlh dke dks iwjk djus dk Bsdkysrk gS vksj og blds fy;s 110 yksxks dks dke ijyxkrk gSA 48 fnuksa ds ckn og ikrk gS fd mlus 3/5

Hkkx dke dk [kRe dj fn;k gS] rks dke le; ij [kRe

gks blds fy, mls fdrus yksxksa dks dke ls gVkuk gksxkA(a) 45 (b) 40(c) 35 (d) 30

147. There are 200 questions in a 3 hours test. In which 50questions are of maths, 100 questions are of generalstudies and 50 are of science. The time taken forsolving maths questions is twice The time taking forsolving any other subjects questions. Find the timetaken for solving maths section.

rhu ?k.Vs dh ,d ijh{kk esa 200 iz’u gSA 200 iz’uksa esa 50iz’u xf.kr ds gSA 100 iz’u lkekU; Kku ds gSA vkSj 50iz’u foKku ds gSA mlus xf.kr ds izR;sd iz’u ij izR;sdvU; iz’u ls nksxquk le; yxk;kA vr% xf.kr ds iz’uksa

ij mlus dqy fdrus feuV yxk,A(a) 36 (b) 72(c) 100 (d) 60

148. The number of women and children are equal in afactory women work for 6 hours daily and childrenwork for 4 hours daily. In festival time work increasesby 50% and government laws do not permit childrento work more than 6 hours a day. If their efficiency areequal and extra work is done by women. Find thenumber of extra hours women work daily.,d QSDVªh esa efgykvksa vkSj cPpksa dh cjkcj la[;k gSAefgyk,a ,d fnu esa 6 ?kaVs dke djrh gS vkSj cPps ,dfnu esa 4 ?kaVs dke djrs gsA mRlo ds le; dke dk Hkkj50% c<+ tkrk gSA ljdkjh fu;e cPpks dks ,d fnu esa6 ?kaVs ls vf/kd dke djus dh vuqefr ugh nsrk gS A ;fnmudh dq’kyrk cjkcj gks vkSj vfrfjDr dk;Z efgykvksa}kjk fd;k tk, rks efgykvksa }jk izfrfnu fdrus ?kaVs

vfrfjDr le; nsuk gksxkA(a) 5 hours (b) 3 hours(c) 4 hours (d) 9 hours

PIPE & CISTERN

TYPE-I

149. A pipe can fill a tank with water in 3 hours. Due to a

leakage in bottom, it takes 32

1 hours to fill it. In what

time the leak will empty the fully filled tank?,d ikbi fdlh Vadh dks 3 ?kaVs esa ikuh Hkj ldrk gSA

Vadh esa ,d Nsn gksus ds dkj.k]bldks Hkjus esa 32

1?kaVs

yxrs gSaA Nsn gksus ds dkj.k iw.kZ Hkjh gqbZ Vadh dks [kkyhgks tk,xhA(a) 12 hours (b) 21 hours

(c) 62

1 hours (d) 10 hours

236

TIME & WORK

150. A cistern is normally filled in 8 hours but takes another2 hours longer to fill because of a leakage in its bottom.If the cistern is full, the leak will empty it in?

fdlh Vadh dks Hkjus esa lk/kkj.kr% 8 ?kaVs dk le; ysrk gSAysfdu Vadh dh ryh esa Nsn gksus ds dkj.k 2 ?kaVs dk vf/kd le; yxrk gSA ;fn Vadh iwjh Hkjh gks rks Nsn fdrusle; esa Vadh dks [kkyh djsxkA(a) 16 hours (b) 20 hours(c) 25 hours (d) 40 hours

151. Two pipes A and B can separately fill a cistern in 60minutes and 75 minutes respectively. There is a thirdpipe in the bottom of the cistern to empty it. If all thethree pipes are simultaneously opened, then the cisternis full in 50 minutes. In how much time the third pipealone can empty the cistern?

nks ikbi A vkSj B vyx&vyx fdlh Vadh dks dze’k% 60feuV vkSj 75 feuV esa Hkj ldrs gSaAVadh dh ryh esamldks [kkyh djus ds fy, rhljk ikbi yxk gSA ;fnrhuksa ikbiksa dks ,d lkFk [kksy fn;k tk, rks Vadh 50feuV esa Hkj tkrh gSA vdsyk rhljk ikbi bl Vadh dksfdrus le; esa [kkyh djsxkA(a) 110 minutes (b) 100 minutes(c) 120 minutes (d) 90 minutes

152. A tap takes 36 hours extra to fill a tank due to a leakageequivalent to half of its inflow. The tap can fill the tankin hours?

Vadh dh ryh esa Nsn esa gksus ds dkj.k ,d uy fdlh Vadhdks Hkjus esa 36 ?kaVs dk vfrfjDr le; ysrk gS tcfd Nsndh {kerk Uky ls vk/kh gS rks crk,as uy }kjk Vadh dks Hkjusdk lgh le; fdruk gS(a) 36 hours (b) 24 hours(c) 30 hours (d) 18 hours

153. Two pipes A and B can fill a cistern in 2

137 minutes

and 45 minutes respectively. Both pipes are opened.The cistern will be filled just in half hour, If the pipe Bis turned off after.

nks ikbi A vkSj B fdlh Vadh dks dze’k% 2

137 feuV rFkk

45 feuV esa Hkj ldrs gSA;fn nksuks ikbiksa dks [kksy fn;ktkrk gS rks Vadh dks Bhd vk/ks ?kaVs esa Hkjus ds fy, B dksfdrus le; ckn cUn djuk gksxkA(a) 15 minutes (b)10 minutes(c) 5 minutes (d) 9 minutes

154. A tank can be filled by two pipes in 20 minutes and 30minutes respectively. When the tank was empty the twopipes were opened. After some time, the first pipe was

stopped and the tank was filled in 18 minutes. Afterhow much time of the start was the first pipe stopped?

nks ikbi fdlh Vadh dks Øe’k% 20 feuV rFkk 30 feuVesa Hkj ldrs gSAtc VSad [kkyh gks rks nksuksa ikbiksa dks[kksy fn;k tkrk gSA dqN le; Ik’pkr igyk ikbi candj fn;k tkrk gS rc VSad 18 feuV esa Hkj tkrk gSAigyk ikbi [kqyus ds fdrus le; ckn can dj fn;ktkrk gSA(a) 5 minutes/ feuV (b) 8 minutes/ feuV(c) 10 minutes/ feuV (d) 12 minutes/ feuV

155. Pipe A can fill an empty tank in 6 hours and pipe B in8 hours. If both the pipes are opened and after 2 hourspipe A is closed, how much time B will take to fill theremaining tank?

ikbi A ,d [kkyh VSad dks 6 ?kaVs esa Hkj ldrk gS vkSjikbi B 8 ?kaVs esa Hkj ldrk gSA ;fn nksuksa ikbi ,d lkFk[kksys tk;sa vkSj 2 ?kaVs ckn ikbi A can dj fn;k tk,]rks ’ks"k VSad dks Hkjus esa B dks fdrus ?kaVs dk le;yxsxkA [SSC CGL Mains -2015]

(a) 2

17 hours/ ?kaVs (b)

5

23 hours/ ?kaVs

(c) 5

22 hours/ ?kaVs (d)

3

13 hours/ ?kaVs

156. Two pipes A and B can fill a tank with water in 30minutes and 45 minutes respectively. The third pipe Ccan empty the tank in 36 minutes. First A and B areopened. After 12 minutes C is opened. Total time (inminutes) in which the tank be filled up is?

nks ikbi A vkSj B vyx&vyx fdlh Vadh dks Øe’k% 30feuV vkSj 45 feuV esa Hkj ldrs gSaA rhljk ikbi Vadhdks 36 feuV esa [kkyh dj nsrk gSA uy A rFkk B dks[kksyk x;k vkSj 12 feuV ds ckn C dks [kksyk x;k] rksdqy fdrus le; esa Vadh Hkj tk,xhA(a) 12 minutes/ feuV (b) 24 minutes/ feuV(c) 30 minutes/ feuV (d) 36 minutes/ feuV

157. A tank can be filled with water by two pipes, A and Btogether in 36 minutes. If the pipe B was stopped after30 minutes, the tank is filled in 40 minutes. The pipeB can alone fill the tank in?

nks ikbi fdlh Vadh dks ikuh ls Hkjrs gSaA A vkSj B ,d lkFkfeydj 36 feuV esa Hkjrs gSa ;fn 30 feuV ckn ikbi B dkscan dj fn;k tkrk gS rc Vadh 40 feuV esa Hkjrh gSA ikbiB vdsyk bl VSad dks fdrus le; esa HkjsxkA(a) 45 minutes/ feuV (b) 60 minutes/ feuV(c) 75 minutes (d) 90 minutes/ feuV

237

TIME & WORK

158. Two pipes P and Q can fill a cistern in 12 and 15minutes respectively. Both are opened together, but atthe end of 3 minutes, P is turned off. In how manymore minutes will Q fill the cistern?nks ikbi P vkSj Q vyx&vyx fdlh Vadh dks Øe’k% 12feuV vkSj 15 feuV esa Hkj ldrs gSaA nksuksa ikbi ,dlkFk [kksy fn, tkrs gaSA ijUrq 3 feuV ckn P dks can djfn;k tkrk gSA crkb, Q }kjk fdruk vkSj le; yxsxkA

(a) 7 minutes/ feuV (b) 4

17 minutes/ feuV

(c) 8 minutes/ feuV (d) 4

18 minutes/ feuV

TYPE-II

159. A tap can empty a tank in one hour. A second tap canempty it in 30 minutes. If both the taps operatesimultaneously, how much time is needed to emptythe tank?,d uy fdlh VSad dks ,d ?kaVs esa [kkyh dj ldrk gSArFkk nwljk uy bls 30 feuV eas [kkyh dj ldrk gS ;fnnksuks uy ,d lkFk [kksy fn, tk;sa rks VSad dks [kkyhdjus esa fdruk le; yxsxkA(a) 20 minutes/ feuV (b) 30 minutes/ feuV(c) 40 minutes/ feuV (d) 45 minutes/ feuV

160. Three taps A,B and C together can fill an empty cisternin 10 minutes. The tap A alone can fill it in 30 minutesand the tap B alone in 40 minutes. How long will thetap C alone take to fill it?rhu uy A,B vkSj C ,d lkFk feydj fdlh Vadh dks 10feuV esa Hkj ldrs gSaA uy A vdsyk 30 feuV esa vkSj uyB vdsyk 40 feuV esa Hkj ldrs gSaA crkb, fdrus le;es uy C vdsyk Vadh dks HkjsxkA(a) 16 minutes / feuV (b) 24 minutes/ feuV(c) 32 minutes/ feuV (d) 40 minutes/ feuV

161. If two pipes function simultaneously, a tank is filled in12 hours. One pipe fills the tank 10 hours faster thanthe other. How many hours does the faster pipe alonetake to fill the tank?;fn nks ikbi ,d lkFk fdlh VSad dks 12 ?kaVs esa Hkjldrs gSA igyk ikbi nwljs ikbi ls 10 ?kaVs igys Vadhdks Hkj nsrk gS rks crkb, rsth ls Hkjus okyk ikbi VSaddks fdrus le; esa Hkj nsrk gSA(a) 20 hours/?kaVs (b) 18 hours/?kaVs(c) 15 hours/?kaVs (d) 12hours/?kaVs

162. A cistern has two pipes. One can fill it with water in 8hours and other can empty it in 5 hours. In how manyhours will the cistern be emptied if both the pipes areopened together when the cistern is already full ofwater ?,d Vadh esa nks ikbi yxs gSA igyk ikbi Vadh dks 8 ?akVs esaHkjrk gS vkSj nwljk ikbi 5 ?kaVs esa [kkyh djrk gSA ;fn nksuksaikbiksa dks ,d lkFk [kksy fn;k tk, rks igys ls ikuh ls HkjhgqbZ Vadh dks [kkyh djus esa fdruk le; yxsxkA

(a) 3

113 hours/ ?kaVs (b) 10 hours/ ?kaVs

(c) 6 hours/ ?kaVs (d) 3 hours/ ?kaVs163. A tap can fill an empty tank in 12 hours and another

tap can empty half the tank in 10 hours. If both thetaps are simultaneously, how long would it take forthe empty tank to be filled to half its capacity?

,d uy [kkyh Vadh dks 12 ?kaVs esa Hkjrk gS rFkk vU; uyvk/kh Vadh dks 10 ?kaVs esa [kkyh djrk gSA ;fn nksuksa uyksadks ,d lkFk [ksky fn;k tkrk gSA [kkyh Vadh ds vk/ksHkkx dks Hkjus esa yxk le; D;k gksxkA(a) 10 hours/ ?kaVs (b) 30 hours/ ?kaVs(c) 15 hours/ ?kaVs (d) 20 hours/ ?kaVs

164. 12 pumps working 6 hours a day can empty acompletely filled reservoir in 15 days. How many suchpumps working 9 hours a day will empty the samereservoir in 12 days?

12 iEi izfrfnu 6 ?kaVs dke djrs gq, ,d iwjs Hkjs gq,tyk’k; dks 15 fnu esa [kkyh dj nsrs gS crk, fdrusiEi 9 ?kaVs izfrfnu dke djrs gq, mlh tyk’k; dks 12fnu esa [kkyh dj nsaxsA(a) 15 (b) 9(c) 10 (d) 12

165. Three pipes P, Q and R can separately fill a cistern in4,8 and 12 hours respectively. Another pipe S canempty the completely full cistern in 10 hours. Whichof the following arrangements will fill the empty cisternin less time than others?

rhu P, Q vkSj R ikbi vyx&vyx ,d Vadh dks Øe’k%4] 8 vkSj 12 ?kaVs esa Hkj ldrs gSaA,d vU; [kkyh djus okykikbi S Hkjh gqbZ Vadh dks 10?kaVksa esa [kkyh dj ldrkgSAcrkb, fuEu esa ls uyksa dk dkSu lk Vadh dks vU; dhvis{kk tYnh Hkj ldrk gSA(a) P alone is open (b) P, R and S are open

P [kqyk gks P,R vkSj S [kqyk gks(c) P and S are open (d) P, Q and S are open

P vkSj S [kqyk gks P, Q vkSj S [kqyk gks

238

TIME & WORK

166. A pipe can fill a tank in ‘x’ hours and another pipe canempty it in ‘y’ hours. If both the pipes are open, inhow many hours will the tank be filled?

igyk ikbi fdlh VSad dks ‘x’ ?kaVs esa Hkjrk gS vkSj nwljkikbi ‘y’ ?kaVs esa [kkyh djrk gSA ;fn nksuksa ikbiksa dks[kksy fn;k tkrk gS rc fdrus le; ckn VSad Hkj tk,xkA(a) (x-y) hours/ ?kaVs (b) (y-x) hours/ ?kaVs

(c) x hours/ ?kaVs (d) xy

xy

hours/ ?kaVs

TYPE-III

167. A tank can be filled by pipe A in 2 hours and pipe B in 6hours. At 10 am pipe A was opened. At what time will thetank be filled if pipe B is opened at 11 A.M. ?ikbZi A fdlh VSad dks 2 ?kaVs esa rFkk ikbi B 6 ?kaVs esaHkjrk gSA lqcg 10 cts ikbi A dk [kksy fn;k tkrk gSA;fn ikbi B dks 11 cts [kksy fn;k tk, rc VSad fdruscts rd Hkj tk;sxk \(a) 12.45 A.M. (b) 5 P.M.(c) 11.45 A.M. (d) 12 P.M.

168. Pipes P and Q can fill a tank in 10 hours and 12 hoursrespectively and C can empty it in 6 hours. If all thethree are opened at 7 am, at what time will one fourthof the tank be filled ?ikbi P vkSj Q fdlh Vadh dks dze’k% 10 rFkk 12 ?kaVs esaHkjrs gSa vkSj C, 6 ?kaVs esa [kkyh djrk gSaA ;fn rhuksa ikbiksadks ,d lkFk lqcg 7 cts [kksy fn;k tkrk gS] rks VSad dk,d pkSFkkbZ Hkkx dc rd Hkj tk,xkA(a) 10 am (b) 10 pm(c) 11 pm (d) 11 am

169. Two pipes can fill a tank with water in 15 and 12 hoursrespectively and a third pipe can empty it in 4 hours.If the pipes be opened in order at 8, 9 and 11 a.m.respectively , the tank will be emptied atnks ikbi fdlh VSad dks ikuh ls Øe’k% 15 rFkk 12 ?kaVs esaHkj ldrs gSa rFkk ,d rhljk ikbi bl Vadh dks 4 ?k.Vsesa [kkyh dj ldrk gS ;fn bu ikbiksa dks Øe’k% lqcg8 cts] 9 cts vkSj 11 cts [kksyk tk;sA rc VSaad fdruscts [kkyh gks tk,xkA(a) 11: 40 a.m. (b) 12: 40 p.m.(c) 01: 40 p.m. (d) 02 : 40 p.m.

170. A water reservoir has two inlets and one outlet. Throughthe inlet it can be filled in 3 hours and 3hours 45minutes respectively. It can be emptied completely in1 hour by the outlet. If the two inlets are opened at01:00 pm and 02:00 pm respectively and the outlet at03:00 pm then it will be emptied at

,d tyk’k; esa nks izos’k ikbi vkSj ,d fudkl ikbi gSaAizos’k ikbi ls bls Øe’k% 3 ?kaVs vkSj 3 ?kaVs 45 feuV esaHkjk tk ldrk gSA fudkl ikbi }kjk bls 1 ?kaVs esa iwjk[kkyh fd;k tk ldrk gSA ;fn nksuks izos’k ikbiØe’k% nksigj 1 cts vkSj 2 cts [kksy fn, tk,a rFkkfudkl ikbi dks nksigj 3 cts [kksyk tk, rks ;g fdruscts [kkyh gks tk,xk \(a) 05:55 pm (b) 05:00 pm(c) 05:20 pm (d) 05:30 pm

171. Pipe A can fill a tank in 4 hours and pipe B can fill it in6 hours. If they are opened on alternate hours and ifpipe A is opened first then in how many hours, thetank shall be full ?ikbi A, 4 ?kaVs esa rFkk ikbi B, 6 ?kaVs esa fdlh Vadh dksHkj ldrk gSA ;fn os ,d&,d ?kaVs ds fy, [kksys tkrs gSvkSj ;g Øe yxkrkj pyrk gS vkSj ;fn ikbi A igys[kksyk tkrk gS] rks Vadh fdrus le; esa Hkj tk,xh \

(a) 3

25 (b)

3

24

(c) 3

14 (d)

3

16

172. A tank is fitted with two taps. The first tap can fill tankcompletely in 45 minutes and the second tap can emptythe full tank in one hour. If both the tap are openedalternately for one minute, then in how many hoursthe empty tank will be filled completely ?,d VSad esa nks uy yxs gS] igyk uy Vadh dks iw.kZr;k%45 feuV esa Hkjrk gS vkSj nwljk uy 1 ?kaVs eas [kkyh djrkgSA ;fn nksuksa ikbiksa dks ckjh&ckjh ls ,d&,d feuV dsfy, [kksyk tkrk gS rks [kkyh Vadh dks iw.kZr;k Hkjus esafdruk le; yxsxk \(a) 2 hours 55 minutes/ 2 ?kaVs 55 feuV(b) 3 hours 40 minutes/ 3 ?kaVs 40 feuV(c) 4 hours 48 minutes/ 4 ?kaVs 48 feuV(d) 5 hours 53 minutes/ 5 ?kaVs 53 feuV

173. A cistern is provided with two pipes A and B. A can fillit in 20 minutes and B can fill it in 30 minutes. If Aand B kept open alternately for one minute each, howsoon will the cistern be filled?nks ikbi A vkSj B ,d Vadh esa yxs gq, gSaA ikbi A 20

feuV esa Vadh dks Hkjrk gS vkSj ikbi B 30 feuV esa Vadhdks [kkyh djrk gSA ;fn A vkSj B izR;sd dks ckjh&ckjhls ,d&,d feuV ds fy, [kksyk tkrk gS] rc Vadhfdrus le; esa Hkjsxh \(a) 121 minutes/ feuV (b) 110 minutes/ feuV(c) 115 minutes/ feuV (d) 120 minutes/ feuV

239

TIME & WORK

174. Three taps A, B and C can fill a tank in 12, 15 and 20hours respectively. If A is open all the time and B andC are open for one hour each alternatively, the tankwill be full inrhu A, B vkSj C ,d Vadh dks dze’k% 12] 15 vkSj 20 ?kaVsesa Hkj ldrs gSA ;fn uy A iwjs le; [kqyk jgs rFkk B

vkSj C ckjh ls ,d&,d ?kaVs ds fy, [kksys tkrs gS] rksVadh fdrus le; esa Hkj tk,xh \(a) 6 hours/ ?kaVs (b) hours/ ?kaVs(c)7 hours/ ?kaVs (d) hours/ ?kaVs

TYPE-IV

175. Having the same capacity 9 taps fill up a water tank in20 minutes. How many taps of the same capacity arerequired to fill up the same water tanks in 15 minutes?,d leku {kerk ds 9 uy ,d ikuh dh Vadh dks 20 feuVesa Hkjrs gSA ,d leku {kerk ds fdrus uy ml ikuh dhVadh dks 15 feuV esa Hkj ldrs gSa \(a) 10 (b) 12(c) 15 (d) 18

176. A tap can fill a tank in 6 hours. After half the tank isfilled, three more similar taps are opened. What is thetotal time taken to fill the tank completely?,d ikbi fdlh VSad dks 6 ?kaVs esa Hkj ldrk gSaA vk/khVadh Hkjus ds ckn blh izdkj ds rhu vkSj uy [kksy fn;stkrs gSA Vadh dks iwjk Hkjus esa dqy fdruk le; yxsxk\(a) 4 hrs/ ?kaVs(b) 4 hrs 15 min/ feuV(c) 3 hrs 15 min/ 3 ?kaVs 15 feuV(d) 3 hrs 45 min/ 3 ?kaVs 45 feuV

177. Two pipes A and B can fill a water tank in 20 and 24minutes respectively and a third pipe C can empty atthe rate of 3 gallons per minute. If A, B and C areopened together to fill the tank in 15 minutes. find thecapacity of tank ?nks ikbi vkSj ,d ikuh dh Vadh dks Øe’k% 20 vkSj 24feuV esa Hkjrs gaS vkSj rhljk ikbi Vadh dks 3 xSyu@feuVdh nj ls [kkyh djrk gsSA ;fn A, B vkSj C dks ,dlkFk [kksy fn;k tkrk gS rks VSad 15 feuV esa Hkj tkrkgSA VSad dh {kerk crkb;sA(a) 180 gallons/ xSyu (b) 150 gallons/ xSyu(c) 120 gallons/ xSyu (d) 60 gallons/ xSyu

178. A tank has a leak which would empty the completelyfilled tank in 10 hour. If the tank is full of water and atap is opened which admit 4 liters of water per minutein the tank, the leakage takes 15 hours to empty thetank. How many liters of water does the tank hold?

,d Vadh esa Nsn gS tks Hkjh gqbZ Vadh dks 10 ?kaVs esa [kkyhdj ldrk gSA ;fn VSad iwjk Hkjk gqvk gks rks ,d Hkjus okykuy tks Vadh esa 4 yhVj ikuh izfr feuV ikuh Mkyrk gS][kksy fn;k tkrk gS rks Nsn dks Vadh [kkyh djus esa 15 ?kaVsdk le; yxrk gSA VSad dh {kerk crkb,\(a) 2400 l (b) 4500 l(c) 1200 l (d) 7200 l

179. If rd3

1 of a tank holds 80 liters of water, then the

quantity of water that half of the tank holds is

;fn fdlh VSad ds 3

1 Hkjs gksus ij mlesa 80 yhVj ikuh

vkrk gS] rks mlds vk/kk Hkjs gksus ij mlesa fdruk ikuhgksxk\(a) 240 litters/ yhVj (b) 120 liters/ yhVj(c) 40 liters / yhVj (d) 100 liters/ yhVj

180. th4

3part of the tank is full of water. When 30 liters of

water is taken out, the tank becomes empty.The capacity of the tank is

fdlh VSad dk 4

3Hkkx ikuh ls Hkjk gqvk gS] tc mlesa ls

30 yhVj ikuh fudky fy;k tkrk gS rks VSad [kkyh gkstkrk gSA Vadh dh /kkfjrk crk,aA(a) 30 liters/ yhVj (b) 42 liters/ yhVj(c) 40 liters/ yhVj (d) 38 liters/ yhVj

181. A boy and a girl together fill a cistern with water. Theboy pours 4 liters of water every 3 minutes and the girlpours 3 liters of water every 4 minutes. How much timewill they take to fill 100 liters of water in the cistern?,d yM+dk vkSj ,d yM+dh lkFk feydj fdlh Vadh dksikuh ls Hkjrs gS yM+dk 4 yhVj ikuh izR;sd 3 feuV esaHkjrk gS vkSj yM+dh 3 yhVj ikuh izR;sd 4 feuV esa HkjrhgSA fdrus le; esa 100 yhVj ikuh Vadh esa Hkj tk,xk \(a) 36 minutes/ feuV (b) 42 minutes/ feuV(c) 48 minutes/ feuV (d) 44 minutes/ feuV

182. Two pipes A and B can fill a cistern in 3 hours and 5hours respectively. Pipe C can empty in 2 hours. If allthe three pipes are open, in how many hours the cisternwill be full?nks ikbi fdlh Vadh d¨ Øe’k% 3 ?kaVs rFkk 5 ?kaVs esa Hkjldrs gSaA rhljk ikbi 2 ?kaVs esa [kkyh dj ldrk gSA;fn rhuks ikbiksa dks ,d lkFk [kksy fn;k tkrk gSs rcfdrus le; es Vadh Hkj tk,xh \(a) Can’t be filled (b) 10 hours/ ?kaVs(c) 15 hours/ ?kaVs (d) 30 hours/ ?kaVs

240

TIME & WORK

TYPE-V

183. A cistern can be filled by two pipes filling separatelyin 12 & 16 min respectively both pipes are openedtogether, for a certain time out being clogged any 7/8of quantity of water flows through the former and any5/6 through the latter pipe. The obstruction is removed;the cistern is filled in 3 min from that moment. Howlong was it before the full flow began.nks uy fdlh VSad dks Øe’k% 12 vkSj 16 feuV esa Hkjldrs gSA nksuksa uy dks ,d lkFk [kksyk x;kA dqN le;ds fy, uy esa [kjkch vkus ds dkj.k igys okys uy lsdsoy 7/8 ikuh cgrk gS vkSj nwljs okys ls 5/6 ikuh vkrkgSA vc [kjkch dks Bhd dj fn;k x;k vkSj Bhd djus dsckn VSad 3 feuV esa Hkj tkrk gS Kkr dhft, dh fdruhnsj ckn [kjkch dks Bhd fd;k x;kA(a) 4.5 min (b) 5.5 min(c) 5 min (d) 4 min

184. A cistern can be filled by two pipes in 30 & 36 minrespectively. Both pipes are opened together for acertain time but particularly clogged only 5/6 of thefull quantity of water flows through the former andonly 9/10 through the latter. The obstruction is

removed, the cistern is filled in 152

1 min from that

moment. How long was it before full flow began?nks uy fdlh VsSad dks Øe’k% 30 vksSj 36 feuV esa Hkjldrs gSA nksuksa uyksa dks ,d lkFk [kksyk x;k ijarq’kq:vkr ls gh dqN [kjkch dh otg ls igys uy ls5/6 ikuh fudyrk gS vkSj nwljs okys ls 9/10 ikuhfudyrk gSA vc [kjkch dks Bhd dj fy;k x;k vkSj

Bhd djus ds ckn 152

1feuV esa VSad Hkj x;k Kkr djks

fdrus le; ckn [kjkch dks Bhd dj fy;k x;kA(a) 2 mins (b) 1 min(c) 5 mins (d) 3 mins

185. A cistern can be filled by two pipes in 15 & 25 minrespectively both pipes are opened together for acertain time out being clogged, any 5/6 of quantity ofwater flows through the former and 5/8 through thelatter pipe. The obstruction is removed, the cistern isfilled in 5 min from that moment. How long was itbefore the full flow began .nks uy fdlh VSad dks Øe’k% 15 vkSj 25 feuV esa Hkjldrs gSA nksuksa uyksa dks ,d lkFk [kksyk tkrk gS dqNle; ds fy, uy esa [kjkch vkus ds dkj.k igys uy lsdsoy 5/6 ikuh fudyrk gS vkSj nwljs uy ls 5/8 ikuhfudyrk gSA vc [kjkch dks nwj dj fy;k x;k vkSj Bhd

djus ds 5 feuV ckn VSad Hkj tkrk gSA Kkr djks fdfdruh nsj ckn [kjkch dks Bhd fd;k x;k\(a) 168/29 min (b) 160/29 min(c) 150/29 min (d) 145/29 min

186. Taps A & B can fill a cistern in 20 hr & 30 hrrespectively both the pipes are opened to fill the tankbut when the tank is 1/3rd full a leak develops in thebottom of the tank, through which 1/3rd of water supplyby both pipes lack out. Find in how much time thetank will full ?nks uy A vkSj B fdlh Vadh dks Øe’k% 20 vkSj 30 ?kaVs esaHkj ldrs gSaA nksuksa uykas dks ,d lkFk [kksyk tkrk gS vkSj

tc Vadh dk 3

1 Hkkx Hkj tkrk gS rks Vadh dh ryh esa ,d

Nsn gks tkrk gS ftlesa ls nksuksa uyksa }kjk Hkjs tkus okys

ikuh dk 3

1 Hkkx fudkyrk jgrk gSA Kkr djks fd Vadh

dks Hkjus esa fdruk le; yxsxkA(a) 10 hr. (b) 15 hr.(c) 12 hr. (d) 8 hr.

187. In a tank four taps of equal efficiency are fitted onequal height intervals. The 1st pipe is at the base ofthe tank and the 4th pipe is at 3/4th of height of thetank. Then calculate in how much time the whole tankwill empty if the 1st pipe can empty the tank in 12hours.fdlh Vadh esa leku {kerk ds 4 uy ,d leku Å¡pkbZ ijyxk, x, gS igyk uy Vadh ds fcYdqy uhps yxk gqvk

gS vkSj pkSFkk uy Vadh dh 4

3 Å¡pkbZ ij yxk gqvk gSA

Kkr djks fd Vadh fdruh nsj esa [kkyh gksxh vxj igykuy Vadh dks 12 ?ka.Vs esa [kkyh dj ldrk gSA

(a) 3

16 hours(b)

4

15 hours (c)

3

18 hours(d)

3

26 hours

188. Three pipes A, B and C are attached to cistern A & Bcan fill it in 30 hrs and 20 hrs respectively & 3rd pipeC leaks out 45 L water per minute. If all the three pipesare opened simultaneously the tank will fill in 15 hr.Find the capacity of the tank.rhu uy fdlh Vadh ls tksM+s x, gSA A vkSj B Øe’k% 30vkSj 20 ?k.Vs esa Vadh dks Hkj ldrs gS vkSj rhljs ikbi Cls 45 yhVj ikuh izfr feuV fudyrk jgrk gSA vxjrhuksa uyksa dks ,d lkFk [kksyk tk, rks Vadh 15 ?kaVksa esaHkj tkrh gSA Vadh dh {kerk Kkr djksA(a) 150000 lit. (b) 160000 lit.(c) 162000 lit. (d) 165000 lit.

241

TIME & WORK

189. A leak in the bottom of the tank can empty it in 6 hrs.A tap fill the tank at 4 L/min is turn on. If both taps areopened then the tank will empty in 8 hrs. Find thecapacity of the tank?Vadh ds uhps ,d yhd bldks 6 ?kaVsa esa [kkyh dj ldrkgS ,d uy tks 4 yhVj izfr feuV dh nj ls ikuh HkjrkgS vxj nksuksa uykas dks ,d lkFk pyk;k tk, rks Vadh 8?kaVs esa [kkyh gks tkrh gS rks Vadh dh {kerk Kkr djksA(a) 5760 lit. (b) 5670 lit.(c) 7560 lit. (d) 6750 lit.

190. A leak in the bottom of a tank can empty it in 12 hrs. Atap which can added 20 L/min is turn on. Both thetaps are opened now, then the tank is emptied in 20hrs. Find the capacity of the tank.Vadh ds uhps ,d yhd bldks 12 ?kaVsa esa [kkyh dj ldrkgSA ,d uy pyk;k x;k tks 20 yhVj@feuV ikuh Hkjldrk gSA vc nksuksa uyksa dks ,d lkFk [kksyk tkrk gSvkSj Vadh 20 ?kaVs esa [kkyh gks tkrh gSA Vadh dh {kerkKkr djksA(a) 30000 lit. (b) 24000 lit.(c) 35000 lit. (d) 36000 lit.

191. 8 taps are fitted in a tank, some are water taps & rest areoutlet tap. Each water tap can fill the tank in 12 hrs andeach outlet tap can empty in 36 hours. Then calculate thenumber of water taps if the whole tank is filled in 3 hrs.fdlh VSad esa 8 uy yxk, x, gS] dqN Hkjus okys gS vkSjdqN fudklh okys gSA izR;sd Hkjus okyk uy Vadh dks 12?k.Vs esa Hkj ldrk gS vkSj izR;sd fudklh uy Vadh dks36 ?k.Vs esa [kkyh dj ldrk gSA rks Hkjus okys uyksa dhla[;k Kkr djks vxj iwjh Vadh dks Hkjus esa 3 ?k.Vs esayxrs gks rksA(a) 4 (b) 5(c) 6 (d) 3

192. 12 taps are filled in a tank some are water taps & restare outlet taps. Each water tap can fill the tank in 6 hrand each outlet tap can empty the tank in 12 hr. If allthe taps are open together then the tank is full in 4 hrsFind the number of water taps.fdlh VSad esa 12 uy yxk, x, gSa] dqN Hkjus okys gS vkSjdqN fudklh okysA izR;sd Hkjus okyk uy VSad dks 6 ?k.Vsesa Hkj ldrk gS vkSj izR;sd [kkyh djus okyk uy VSad dks12 ?k.Vs esa [kkyh dj ldrk gSA vxj lHkh uy ,d lkFk[kksy fn;k tk,a rks VSad 4 ?kaVs esa Hkj tkrk gSA ikuh Hkjusokys uyksa dh la[;k Kkr djksA(a) 5 (b) 6(c) 4 (d) 7

193. A tank is connected with 8 pipes some of them areinlet pipes and rest are outlet pipes. Each of the inletpipe can fill the tank in 8 hrs. individually while eachoutlet pipe can empty the tank in 6 hrs individually ifall the pipes are kept open when the tank is full, it willtake 6 hrs for the tank to empty. How many of theseare inlet pipes?fdlh VSad esa 8 uy yxk, x, gS] dqN Hkjus okys gS vkSjdqN fudklh okys gSA izR;sd Hkjus okyk uy VSad dks 8?k.Vs esa Hkj ldrk gS vkSj izR;sd fudklh okyk uy VSaddks 6 ?kaVs esa [kkyh dj ldrk gSA vxj VSad Hkjk gksus dsckn lkjs uyksa dks [kksy ns rks Vadh 6 ?kaVs esa [kkyh gkstkrh gS rks Hkjus okys uyksa dh la[;k Kkr djksA(a) 6 (b) 3(c) 5 (d) 4

194. If A and B can fill a tank in 10 hrs & 15 hrs respectivelyan outlet tap C can empty it in 20 hrs. Initially the tapA and tap B are opened and when the tank wassupposed to be filled, it was found that tap C was openmistakenly. Now C is closed. After how much timetank will fill ?uy A vkSj B Øe’k% fdlh Vadh dks 10 vkSj 15 ?k.Vs esaHkj ldrs gSa vkSj ,d fudklh uy C bls 20 ?k.Vs eas[kkyh dj ldrk gS vkjEHk esa A vkSj B dks [kksyk x;kvkSj tc lkspk x;k fd Vadh Hkj xbZ gksxh rks ;g ik;kx;k fd uy C xyrh ls [qkyk jg x;k Fkk] rks vc ;fnC dks can dj fn;k x;k rks fdruh nsj ckn Vadh HkjsxhA

(a) 3

21 hours (b)

4

32 hours

(c) 5

42 hours (d)

5

41 hours

195. A bath can be filled by a cold water pipe in 10 minutesand a hot water pipe in 15 minutes. A person leaves thebathroom after turning on both pipes simultaneouslyand returns at the moment when the bath should be full.Finding however, that the waste pipe has been openedhe however closed it. The bath is full in 4 min morewhat time would the waste pipe empty it?fdlh Vc dks B.Ms ikuh dk uy 10 feuV esa Hkj ldrkgS vkSj xje ikuh dk uy 15 feuV esa Hkj ldrk gSA ,dvkneh nksuksa uyksa dk pykdj ckFk:e ls ckgj pyk x;kvkSj ml le; okfil vk;k tc Vc dks Hkj tkuk pkfg,FkkA mlus vkdj ns[kk fd fudklh uy xyrh ls [kqykjg x;k vkSj vc mlus bls can dj fn;k vkSj vc 4feuV ckn Vc Hkj x;k Kkr djks fd fudklh okyk uyVc dks fdruh nsj esa [kkyh djsxkA(a) 10 min. (b) 9 min.(c) 8 min. (d) 5 min.

242

TIME & WORK

196. Three pipes A, B and C are attached to a cistern. Pipe A& B can fill the cistern in 20 & 30 hr respectively and thepipe C can empty it in 60 hrs. Pipe A and B are openedfor the 1st hour and the pipe B and C are opened for the2nd hour and process continues till the cistern does notfill. In how much time the tank will be filled?rhu uy A, B, C fdlh Vadh ls tksMs+ x, gSA A vkSj B Vadhdks Øe’k% 20 vkSj 30 ?kaVs esa Hkj ldrs gSa vkSj C bls 60?kaVs esa [kkyh dj ldrk gSA uy A vkSj C dks igys ?kaVs esa[kksyk x;k] nwljs ?kaVs esa B vkSj C dks [kksyk x;k] vkSj tcrd Vadh Hkj ugha tkrh ;gh Øe tkjh jgrk gSA Kkr djksfd Vadh dks Hkjus esa fdruk le; yxk \(a) 40 hours (b) 60 hours(c) 50 hours (d) 80 hours

197. In what time would a cistern is filled by 3 pipes whose

diameters are 1 cm, 3

4cm, 2 cm running together, when

the largest alone fill it in 61 min. The amount of waterflowing in by each pipe being proportional to the squareof its diameter ?

3 uy ftudk O;kl Øe’k% 1 lseh-, 3

4lseh-, 2 lseh- gS lkFk

feydj Vadh dks fdruh nsj esa Hkjsxs tcfd lcls cM+k uyvdsyk bls 61 feuV esa Hkj ldrk gS izR;sd uy ls cgusokyk ikuh O;kl ds oxZ ds lekuqikrh gSA(a) 30 min. (b) 35 min.(c) 36 min. (d) 40 min.

198. In what time would a cistern be filled by 3 pipes whosediameters are 1 cm, 2 cm, 4 cm running together. Whenthe largest alone fill it in 16 hours, the amount of waterflowing in by each pipe being proportional to the squareof its diameterrhu uy ftudk O;kl Øe’k% 1 lseh] 2 lseh] 3 lseh] vkSj4 lseh gS rhuksa ,d lkFk feydj Vadh dks fdruh nsj esaHkjsxs tcfd muesa ls lcls cM+k bls 16 ?kaVs esa Hkj ldrkgS rks izR;sd uy ls cgus okys ikuh dh ek=k O;kl ds oxZds lekuqikrh gS\

(a)4

3hours (b)

6

5hours (c)

5

4hours (d)

4

11 hours

199. A pipe of diameter ‘d’ can drain a certain water tank in40 minutes. The time taken by a pipe of diameter ‘2d’for doing the same job in?,d d O;kl okys ikbi dks VSad dks [kkyh djus esa 40 feuVyxrs gSa rks 2d O;kl okys ikbi dks VSad dks [kkyh djusesa fdruk le; yxsxkA(a) 5 minutes/feuV (b) 10 minutes /feuV(c) 20 minutes/feuV (d) 8 minutes/feuV

200. A pipe can empty a tank in 40 minutes. A second pipewith diameter twice as much as that of the first is alsoattached with the tank to empty it. Then both thepipes together can empty the tank in ?,d ikbi fdlh VSad dks 40 feuV [kkyh dj ldrk gSAnwljk ikbi ftldk O;kl igys ikbi ls nqxquk gS VSaddks [kkyh djus ds fy, tksM+ fn;k tkrk gSA nksuksa ikbi,d lkFk VSad dks fdrus le; esa [kkyh djsaxsA(a) 8 minutes/ feuV (b) 13 minutes/ feuV(c) 30 minutes/ feuV (d) 38 minutes/ feuV

201. A water tap fills a tub in ‘p’ hours and sink at thebottom empties it in ‘q’ hours. If p < q and both tapsink are open, the tank is filled in ‘r’ hours then whatis the relation between p, q and r .,d ikuh dk uy fdlh Vc dks ‘p’ ?kaVs esa Hkj ldrk gSvkSj uhps yxk flad mls ‘q’ ?kaVs esa [kkyh djrk gSA ;fnp < q vkSj uy o flad nksuksa [kqys gks rks Vc ‘r’ ?kaVs esaHkjsxk] rks p, q rFkk r ds chp D;k laca/k gSA

[SSC CGL Mains -2015]

(a) q

1

p

1

r

1 (b) q

1

p

1

r

1

(c) r = p+q (d) r = p-q

Banking Questions

202. In a canteen 42 kg rice is required in a week. Howmany kg rice is required in the month of June and july.,d dSaVhu dks ,d lIrkg esa 42 fd-xzk- pkoy dhvko’;drk iM+rh gSA twu vkSj tqykbZ ds eghus ds fy,bls fdrus fd-xzk- pkoy dh vko’;dRkk gksxh\

(a) 360 kg@fd-xzk- (b) 355 kg@fd-xzk-(c) 350 kg@fd-xzk- (d)Can’t be determined

@fu/kkZfjr ugh fd;k tk ldrk(e) None of these@buesa ls dksbZ ugh

203. A man can stitch a bag in 10 minutes. How many suchmen should be imployed to stitch 1245 bags if theyworked from 10 am to 12:30 pm,d vdsys O;fDr dks ,d cSx dh flykbZ djus esa 10feuV yxrs gSA lqcg 10 cts ls nksigj 12%30 cts rd1245 cSx dh flykbZ djus ds fy,] bl dke ij fdrusO;fDr yxk;s tkus pkfg,\

(a)81 (b) 82(c) 83 (d) 84(e) None of these@buesa ls dksbZ ugh

243

TIME & WORK

204. Meeshu earns Rs 110 per day for certain work. If heearns Rs 2750 in a month of 31 days then how manydays did he work?

IkzR;sd fnu dke djus ds fy, eh’kq dks 110 :- feyrs gSA31 fnu ds eghus esa mlus 2750 :- dek;s rks mlusfdrus fnu dke fd;k Fkk \

(a) 25 days@fnuksa (b) 28 days@fnuksa(c) 26 days@fnuksa (d) 24 days@fnuksa(e) None of these @buesa ls dksbZ ugh

205. 10 men and 8 women can do a piece of work in 5days.Work done by a woman in one day is equal tohalf of the work done by a man in one day. In howmany days 4 men and 6 women can do the same work

10 iq:"k vkSj 8 efgyk,a feydj ,d dke 5 fnu esa iwjkdj ldrs gSA ,d efgyk }kjk ,d fnu esa fd;k x;kdke ,d iq:"k }kjk ,d fnu esa fd;s x, dke ds vk/ksds cjkcj gSA 4 iq:"k vkSj 6 efgyk,a ml dke dks fdrusfnu esa iwjk djsaxs\

(a) 12 days@fnuksa (b) 10 days @fnuksa(c) 8 days@fnuksa (d) 15 days@fnuksa(e) None of these@buesa ls dksbZ ugh

206. Anisha get Rs 123 per day. How many days did she

work to earn Rs 2952 in a month of 30 days

gj ,d fnu dke djus ds fy, vfu’kk dks 123 :- feyrsgSA 30 fnu ds eghus esa mlus 2952 :- dh dekbZ dh rksmlus fdrus fnu dke fd;k Fkk \

01-11-09(a) 26 (b) 28(c) 24 (d) 22(e) None of these@buesa ls dksbZ ugh

207. Each student in a school can make five handicraftarticles per day. If in an exhibition 1125 articles areexhibited then find how many days were taken by 25

students to make these articles

fdlh fo|kky; dk izR;sd fo|kFkhZ izfr fnu gLrdyk dhikap oLrq,a cuk ldrk gSA ;fn fdlh iznf’kZuh esa gLrdykdh 1125 oLrq,a iznf’kZr dh tkrh gSaA rks 25 fo|kFkhZfdrus fnuksa essa bu oLrqvksa dk fuekZ.k djsaxs\

IBPS CWE 16 12-2012(a) 6 days (b) 9 days(c) 8 days (d) 7 days(e) None of these

208. 16 men can do a piece of work in 49 days. 14 men startedthe work and complete a cetain part of work in 8 days.How many extra men are needed to complete theremaining work in 24 days.

16 O;fDr fdlh dke dks 49 fnu esa iwjk dj ldrs gSA 14O;fDr;ksa us dk;Z vkjaHk fd;k ,oa 8 fnu esa dk;Z dk ,dfuf’pr Hkkx lekIr dj fn;k A ;fn ’ks"k dke 24 fnu esalekIr djuk gks] rks dk;Z esa fdrus vfrfjDr O;fDr;ksa dhvko’;drk gksxh\ IBPS RRBs

CWE-IV 20-09-2015(a) 21 (b) 28(c) 16 (d) 18(e) 14

209. A and B can do a piece of work in 36 and 20 daysrespectively. They started the work. After 9 days C alsojoined the work and total work is completed in 12 days.In how many days C complete the work alone.

A ,oa B vdsyss fdlh dke dks Øe’k% 36 fnu ,oa 20 fnu esalekIr dj ldrs gaSA nksuksa us ,d lkFk dke djuk vkjaHkfd;kA 9 fnu ds i’pkr~ C Hkh ml dke esa ’kkfey gks x;k,oa iwjk dke 12 fnu esa lekIr gks x;kA rks C vdsys mldke dks fdrus fnu esa lekIr dj ldrk gS A

IBPS CWE - V

(a) 48 (b) 60(c) 42 (d) 40(e) 45

210. In a canteen 112 kg wheat is required in a week how

many kilograms of wheat is required for 69 days.

,d dSaVhu dks ,d lIrkg esa 112 fd-xzk- xsagw dh vko’;drkiM+rh gSA 69 fnuksa ds fy, bls fdrus fd-xzk- xsgwa dhvko’;drk iM+sxh \

SBI &SBI Associates 19-08-2007

(a) 1204 kg@fd-xzk- (b) 1401 kg@fd-xzk-(c) 1104 kg@fd-xzk- (d) 1014 kg@fd-xzk-(e) None of these @buesa ls dksbZ ugh

211. A man can fill a bottle in 6 minutes. how many menshould be employed to fill 1845 bottles from 11:00 AM

to 12:30 PM

,d O;fDr dks ,d cksry Hkjus esa 6 feuV yxrs gSa] lqcg11%00 ls nksigj 12%30 rd 1845 cksrysa Hkjh tkuh gSA bldke ds fy, fdrus yksx yxk, tkuss pkfg,\

SBI &SBI Associates 19-08-2007(a) 121 (b) 127(c) 135 (d) 139(e) None of these@buesa ls dksbZ ugh

244

TIME & WORK

212. A can do a piece of work in 36 days. B is 20% moreefficient than A. C is 40% more efficient than B. Howmany day will A and C together take to complete the

work.

A vdsys ,d dke dks 36 fnu esa iwjk dj ldrk gSAB ,A ls 20% vf/kd dk;Zdq’ky gSA C,B ls 50%

vf/kd dk;Zdq’ky gSA A ,oa C feydj fdrus fnuksa esa mlhdke dks laiUu djsaxs \ SBI 08-02-2015

(a) 7

415 (b)

7

610

(c) 7

612 (d)

7

414

(e) None of these@buesa ls dksbZ ugh213. A alone can do a piece of work in 24 days. B is 20%

more efficent than A . A and B together can do samework in?A vdsys fdlh dk;Z dks 24 fnu esa lekIr dj ldrk gSAnwljk O;fDr B, A ls 20% vf/kd dk;Zdq’ky gSA A ,oa Bfeydj mlh dke dks fdrus fnu esa lekIr djsaxs\

LIC ADO

19-07-2015½

(a)9

521 (b)

9

222

(c) 9

424 (d)

9

715

(e) None of these/ buesa ls dksbZ ugha214. Two pipes can fill a cistern in 12 hours and 16 hours

respectively. Third pipe can empty the cistern in 30hours. If all the three together are opened, the cisternfills in

nks uy vyx&vyx ,d [kkyh Vadh dks Øe’k% 12 ?kaVs ,oa16 ?kaVsa es Hkj ldrs gSa ,d rhljk uy Hkjh gqbZ Vadh dks 30?kaVs esa [kkyh dj ldrk gSA ;fn rhuksa uy ,d lkFk [kksyfn;s tk;sa rks [kkyh Vadh fdrus le; esa Hkj tk;sxhA (UIICL )

(a) 9

19 (b)

9

410

(c) 9

88 (d)

9

27

(e) 9

59

ANSWER KEY

1 (c ) 2 (c ) 3 (c) 4 (d) 5 (d)

6 (c ) 7 (c ) 8 (a ) 9 (a ) 10 (b)

11 (c ) 12 (d) 13 (a ) 14 (c ) 15 (a )

16 (d) 17 (a ) 18 (b) 19 (a ) 20 (c )

21 (c ) 22 (c ) 23 (b) 24 (d) 25 (c )

26 (d) 27 (d) 28 (a ) 29 (a ) 30 (b)

31 (d) 32 (c ) 33 (a ) 34 (c ) 35 (d)

36 (d) 37 (c ) 38 (d) 39 (b) 40 (c )

41 (b) 42 (d) 43 (a ) 44 (d) 45 (b)

46 (c ) 47 (c ) 48 (b) 49 (d) 50 (d)

51 (d) 52 (b) 53 (c) 54 (b) 55 (a )

56 (d) 57 (c ) 58 (c) 59 (a ) 60 (a )

61 (d) 62 (a ) 63 (a ) 64 (b) 65 (c )

66 (a ) 67 (d) 68 (a ) 69 (d) 70 (d)

71 (c ) 72 (d) 73 (d) 74 (c ) 75 (b)

76 (d) 77 (a ) 78 (c) 79 (a ) 80 (c )

81 (d) 82 (c ) 83 (b) 84 (c ) 85 (a )

86 (b) 87 (d) 88 (d) 89 (a ) 90 (b)

91 (d) 92 (a ) 93 (d) 94 (d) 95 (a )

96 (c ) 97 (a ) 98 (d) 99 (c ) 100 (d)

101 (c ) 102 (a ) 103 (b) 104 (c ) 105 (c )

106 (b) 107 (a ) 108 (a ) 109 (a ) 110 (b)

111 (b) 112 (a ) 113 (b) 114 (a ) 115 (a )

116 (a ) 117 (d) 118 (c) 119 (c ) 120 (b)

121 (c ) 122 (c ) 123 (d) 124 (b) 125 (a )

126 (a ) 127 (a ) 128 (a ) 129 (d) 130 (c )

131 (d) 132 (d) 133 (d) 134 (d) 135 (d)

136 (d) 137 (c ) 138 (c) 139 (a ) 140 (c )

141 (c ) 142 (b) 143 (b) 144 (c ) 145 (b)

146 (d) 147 (b) 148 (d) 149 (b) 150 (d)

151 (b) 152 (a ) 153 (d) 154 (b) 155 (d)

156 (a ) 157 (d) 158 (d) 159 (a ) 160 (b)

161 (a ) 162 (b) 163 (c) 164 (c ) 165 (d)

166 (d) 167 (c ) 168 (b) 169 (d) 170 (c )

171 (b) 172 (d) 173 (c) 174 (c ) 175 (b)

176 (d) 177 (c ) 178 (d) 179 (b) 180 (c )

181 (c ) 182 (a ) 183 (a ) 184 (b) 185 (a )

186 (c ) 187 (c ) 188 (c) 189 (a ) 190 (d)

191 (b) 192 (a ) 193 (d) 194 (d) 195 (b)

196 (a ) 197 (c ) 198 (c) 199 (b) 200 (a )

201 (b) 202 (c ) 203 (c) 204 (a ) 205 (b)

206 (c ) 207 (b) 208 (e) 209 (e) 210 (c )

211 (e) 212 (c ) 213 (e) 214 (c )