MATHS

HCF and LCM

Exercise

1. Find the HCF of 36 and 84.

A. 12

B. 4

C. 6

D. 18

Answer:

Watch Video Solution

2. What is the square of HCF of 36,40 and 48?

A. 16

B. 49

C. 25

D. 36

Answer:

Watch Video Solution

3. Find the LCM of 48, 72 and 108.

A. 432

B. 216

C. 320

D. 540

Answer:

Watch Video Solution

4. Find the LCM of 24, 30 and 42.

A. 480

B. 840

C. 320

D. None of these

Answer:

Watch Video Solution

5. LCM of , , is

A.

B.

C.

D.

Answer:

Watch Video Solution

2

3

4

9

7

12

4

18

28

3

1

36

140

3

6. HCF of 2.4, 0.36 and 7.2 is

A. 12

B. 0.12

C. 120

D. 1.2

Answer: 0.12

Watch Video Solution

7. The LCM of two numbers is 864 and their

HCF is 144 . If one of the number is 288 , the

other number is

A. 576

B. 1296

C. 432

D. 144

Answer:

Watch Video Solution

8. The greatest number which can divide 1356,

1868 and 2764 leaving the same remainder 12

in each case is (a) 64 (b) 124 (c) 156 (d) 260

A. 128

B. 64

C. 156

D. 260

Answer:

Watch Video Solution

9. The greatest number, Which when divides

989 and 1327 leave remainders 5 and 7

respectively:

A. 8

B. 16

C. 24

D. 32

Answer:

Watch Video Solution

10. The least number which when divided by

4,6,8,12 and 16 leaves a remainder of 2 in each

case is :

A. 46

B. 48

C. 50

D. 56

Answer:

Watch Video Solution

11. Find the least number which when divided

by 12, leaves a remainder of 7; when divided by

15, leaves a remainder of 10 and when divided

by 16, leaves a remainder of 11. (a) 115 (b) 235

(c) 247 (d) 475

A. 115

B. 235

C. 247

D. 475

Answer:

Watch Video Solution

12. Find the HCF of 132, 204 and 228. (a) 12 (b)

18 (c) 6 (d) 21

A. 12

B. 18

C. 6

D. 21

Answer:

Watch Video Solution

13. You have 20 big and 16 small diaries and

want to make gift packs containing both in

each pack. What is the maximum number of

gift packs you can make without any left over?

A. 5

B. 4

C. 3

D. 2

Answer:

Watch Video Solution

14. LCM of 15, 18, 36 and 144 is

A. 144

B. 360

C. 1440

D. 720

Answer:

Watch Video Solution

15. Find the LCM of ,

and .

A.

B.

C.

D.

Answer:

(23 × 3 × 52 × 7)

(24 × 32 × 5 × 72 × 1) (2 × 33 × 54)

24 × 33 × 54

2 × 3 × 7 × 5 × 11

24 × 33 × 54 × 72 × 11

24 × 34 × 54 × 7

Watch Video Solution

16. Ratio of LCM and HCF of 270 and 405 is

A.

B.

C.

D.

Answer:

Watch Video Solution

6: 1

2: 3

3: 2

1: 6

17. The HCF of two number is 4 and the two

other factors of LCM are 5 and 7. Find the

smaller of the two numbers.

A. 10

B. 14

C. 20

D. 28

Answer:

Watch Video Solution

18. The HCF of two number is 4 and the two

other factors of LCM are 5 and 7. Find the

smaller of the two numbers.

A. 10

B. 14

C. 20

D. 28

Answer:

Watch Video Solution

19. HCF of , and is

A.

B.

C.

D.

Answer:

Watch Video Solution

2

3

4

5

6

7

48

105

2

105

1

105

24

105

20. Find the LCM of the following fraction:

, , ,

A.

B.

C.

D.

Answer:

Watch Video Solution

2/3

8/9 16/27 32/81

32/81

81/32

32/3

11

41

21. Find the LCM of 0.25, 0.1and 0.125. (A) 0.25

(B) 0.005 (C) 0.05 (D) 0.5.

A. 0.25

B. 0.005

C. 0.05

D. 0.5

Answer:

Watch Video Solution

22. Two numbers are in the ratio . If their

LCM is 108, then their HCF will be

A. 3

B. 4

C. 9

D. 12

Answer:

Watch Video Solution

3: 4

23. The product of 2 numbers is 35828 and

their HCF is 26. Find their LCM.

A. 93178

B. 689

C. 1378

D. 3583

Answer:

Watch Video Solution

24. Find the largest number of three digits

exactly divisible by 15, 18, 27 and 30.

A. 870

B. 900

C. 810

D. 780

Answer:

Watch Video Solution

25. The LCM of two numbers is 4 times their

HCF. The sum of LCM and HCF is 125. If one of

the number is 100, then the other number is:

A. 5

B. 25

C. 100

D. 125

Answer:

Watch Video Solution

26. The largest number, which divides 25, 73

and 97 to leave the same remainder in each

case,is

A. 24

B. 23

C. 21

D. 96

Answer:

Watch Video Solution

27. What is the greatest number which will

divide 110 and 128 leaving a remainder 2 in

each case? (A) 8 (B) 18 (C) 28 (D) 38.

A. 8

B. 18

C. 28

D. 38

Answer:

Watch Video Solution

28. What is greatest number that will divide

307 and 330 leaving remainders 3 and 7

respectively? (A) 19 (B) 16 (C) 17 (D) 23.

A. 19

B. 16

C. 17

D. 23

Answer:

Watch Video Solution

29. The least number which when divided by

16, 18, 20 and 25 leaves 4 as remainder in each

cae but when divided by 7 leaves no remainder

is

A. 17004

B. 18000

C. 18002

D. 18004

Answer:

Watch Video Solution

30. The smallest number, which divided by 12

and 16 leaves remainder 5 and 9 respectively, is

A. 55

B. 41

C. 39

D. 29

Answer:

Watch Video Solution

31. The least perfect square which is divisible

by each of 21, 36 and 66 is

A. 214344

B. 214434

C. 213444

D. 231444

Answer:

Watch Video Solution

32. The HCF and LCM of two numbers are 45

and 270 respectively. If the ratio of the two

numbers is and smaller of the two

numbers is X, then �nd .

A. 2025

B. 4225

C. 8100

D. 18225

Answer:

Watch Video Solution

2: 3

X2

33. Three man step o� together from the same

spot. Their steps measure 63 cm, 70 cm, and 77

cm respectively . The minimum distance each

should cover so that all can cover the distance

in complate steps is

A. 9630 cm

B. 9360 cm

C. 6930 cm

D. 6950

Answer:

Watch Video Solution

34. The LCM of two consecutive even numbers

is 144, �nd the numbers?

A. 16 and 18

B. 14 and 16

C. 18 and 20

D. 22 and 24

Answer:

Watch Video Solution

35. Three bells ring at an interval of 15, 20 & 30

minutes respectively. If all three bells ring

together at 11 am, They when will they ring

together again ?

A. 11.30 a.m

B. 12 noon

C. 12.30 p.m

D. 1.00 p.m

Answer:

Watch Video Solution

36. What is the smallest number of 5 digits

which is exactly divisible by 12, 24, 48, 60 and

96?

A. 1000

B. 10024

C. 10160

D. 10080

Answer:

Watch Video Solution