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CLASS – X HOLIDAY HOMEWORK

------------------------------------------------------------------------------------- ENGLISH :-

READING SECTION(PROSE)

1. What Impression Do You From Of Lencho Give a Brief Character Sketch

Of Lencho?

2. Write Down The Summary Of His First Flight (Part-1) in Your Words?

3. Write a Note Of Nelson Mandela’s Early Life And His Condition To The

Freedom Struggle in his country?

POETRY

1. Solve the All the Passage of the Poem:

A- Dust of Snow

B-Fire And Ice

C-A Tiger in a Zoo

2. Write Down The Summary of the Poem “ THE DUST OF THE SNOW”?

FOOTPRINTS WITHOUT FEET

1. What Lesson Do You Learn From The Story “A TRIUMPH OF SURGERY”?

2. Give A Character Sketch of Hari Singh in “A THIEF’S STORY”?


WRITING SECTION

1. Write an Article “THE ROLE OF MOBILE PHONE USES AND MISUSES”?

2. Write a short Story in n 150-200 words Describing a Railway Journey

Which You Are Unable to Forget For Some Usual reason.

ह िंदी :-

1. ह िंदी कृतिका के 1 व 2 पाठों को याद करें रफ में लिखें। 2. रचना के आधार पर वाक्य का वर्गीकरण लिखें और उनके (5-5) उदा रण लिखें। 3. अपने मन से ककन ीिं 10 पदों का पद पररचय करें। 4. तनम्नलिखखि में से ककन ीिं दो पर तनबिंध लिखें।

(A) बेरोजर्गारी की समस्या और समाधान। (B) जि सिंरक्षण मारा दातयत्व। (C) स्वच्छ भारि अलभयान।

5. तनम्नलिखखि में से ककन ीिं दो ववषयों पर पत्र लिखें। (A) किकेट मैच की अनुमति प्राप्ि करने ेिु अपने प्रधानाचायय जी को पत्र लिखखए। (B) प्रधानाचायय को बस चािक द्वारा बस िेज चिान ेव ठीक समय पर स्टॉप पर ना प ुिंचने की लिकायि करिे ुए पत्र लिखखए। (C) आपके मो ल्िे का डाककया ठीक समय से डाक वविरण न ीिं करिा ै इस सिंबिंध में डाकपाि को लिकायि पत्र लिखखए।


SCIENCE :-

PHYSICS

1. Learn and write ohm's law.

2. Explain joules law of heating and derivation.

3. Explain resistivity and resistance

4. What is the parallel combination of resistance drive it,

CHEMISTRY

5. Learn and write (Ques. & Ans.) from chapter – 1st, 2ndand 3rd.

6. Learn & write following terms which are given below -

1) Physical and Chemical change 2) Chemical reaction

3) Types of chemical reactions and define all of them

4) Word equation 5) Symbolic equation

6) Balancing of chemical reactions

7) Endothermic and exothermic reactions 8) Corrosion

9) Rancidity 10) Acids, bases and salts 11) Matter

12) Litmus 13) Methyl orange 14) Phenolphthalein

15) Hydronium ion 16) Dilution 17) Strong and weak acid

18) Dilute acid 19) Concentrated acid 20) Plaster of Paris

21) Metals 22) Non – metals

23) Uses of displacement reaction 24) Occurrence of metals

25) Extraction of metals 26) Roasting 27) Calcination


28) Ores 29) Gangue 30) Refining

31) Life 32) Life process 33) Nutrition

34) Autotrophic nutrition 35) Photosynthesis

36) Stomata 37) Mouth 38) Teeth

39) Stomach 40) Small intestine

BIOLOGY

7. Learn and write (Ques. & Ans.) from chapter – 6th.

S.St :-

1. Describe the political condition of Europe in mid 18th century.

2. Explain any three characteristics of the term Liberalism

3. Explain the role of Italian revolutionary Giuseppe Mazzini in freedom struggle

of Italy.

4. Describe the result of the revolutions of the liberals in 1848 in Europe.

5. Why was Giuseppe Mazzini described as the most dangerous enemy of our

social orders?

6. What was Marianne and Germania? What was the importance of the way in

which they were portrayed?

7. What was the outcome of the Poona pact? How did it benefit the dalits?

8. Explain the differences that emerged the congress and the Muslim league on

Political issues.


9. How did Mahatma Gandhi organize Satyagraha in various places in India ?

10. What was the importance of the Indian trade for the British?

11. What were the advantages of invention of refrigerated ship?

12. What were the effects of the great Depression on the Indian economy?

13. When and why was the Rio-de-Janero Earth summit held ?

14. Write two characteristics each of Khadar and Bangar ?

15. Classify resources on the basis of ownership into four categories. Mention

the main feature of each.

16. Distinguish between reserved and protected forests.

17. What are the negative factors that cause such fearful depletion of flora and

fauna ?

18. Describe the methods of forest conservation.

19. Name any two North Eastern States of India having over 60 percent of

Forests cover. Give two reasons.

20. In what ways the forests were harmed by the colonial government ?

21. State any three objectives of Rainwater harvesting?

22. Mention three major sources of irrigation in India, which source of irrigation

is more popular in southern state? and Why?

23. What was the political problems faced by Belgium?

24. What was a community government?

25. What is majoritarianism? How it has led to alienation of majority community

in Sri Lanka?

26. What is the real reason for the successes of federalism in India?

27. Why do some states enjoy special powers in India? Which are they?

28. Discuss the factors crucial in deciding the outcome of politics of social

divisions.

29. What are the different types of democracy? Discuss its two features.

30. Differentiate between direct and indirect democracies.


31. Make a map of India on a chart paper and show the capital of all the

states on it.

INFORMATION TECHNOLOGY :-

1. What is kept on ________ table

a. an b. the c. of d. a

2. The chemist shop is right next ____ the hospital. (for, to).

3. www stands for ________________ .

(a) Whole World Web (b) World Wide Web

(c) World With Web (d) Web Web Web

4. _____________ is designed to help users with auditory impairments.

(a) Filter Key (b) Toggle Keys

(c) Sound Sentry (d) Serial Key

5. Default tab stop position is __________ .

6. _______________ can be used to break continuous text to one or more

sentences.

7. ______________ can be used for inserting information at the top of each

page automatically.

8. AutoSum option is available in _________________ group under the Home

tab.

9. Selecting the__________ view shows calendar for a month.

10. What are document templates? State the purpose of using document

template.

11. You have recently visited a hill station. Describe it using appropriate

phrases.

12. Vacationing helps in ____________________individuals.


13. ____________________ serves as an interface between the user and

computer.

14. An __________ is a person who establishes a business or a venture that

generates some value to the customer and proves to be profitable for him.

15. An economy is called Green economy when it is based on the principles of

_________.

16. Physical exercise in the form of ____________, ___________________to

relieve stress as they stabilize mood, improve self-esteem and induce

sleep.

17. Explain any two of 7Cs of Communication.

18. How many origins can have stress causal?

19. Write down the steps to create a folder in C drive with your name.

20. What are the myths about Entrepreneurship? Explain any two

21. List down any four factors causing ecological imbalance.

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com CBSE 10th Real Number

Unsolved Paper _________________________________________________________________________

Question 1:

Use Euclid’s division algorithm to find the HCF of:

(i) 𝟏𝟑𝟓 𝒂𝒏𝒅 𝟐𝟐𝟓 (ii) 𝟏𝟗𝟔 𝒂𝒏𝒅 𝟑𝟖𝟐𝟐𝟎 (iii) 𝟖𝟔𝟕 𝒂𝒏𝒅 𝟐𝟐𝟓

Question 2: Use Euclid’s division lemma to show that the square of any positive integer is either of form

𝟑𝒎 𝒐𝒓 𝟑𝒎 + 𝟏 for some integer 𝒎.

[𝐇𝐢𝐧𝐭: 𝐥𝐞𝐭 𝒙 𝐛𝐞 𝐚𝐧𝐲 𝐩𝐨𝐬𝐢𝐭𝐢𝐯𝐞 𝐢𝐧𝐭𝐞𝐠𝐞𝐫 𝐭𝐡𝐞𝐧 𝐢𝐭 𝐢𝐬 𝐨𝐟 𝐭𝐡𝐞 𝐟𝐨𝐫𝐦 𝟑𝐪, 𝟑𝐪 + 𝟏 𝐨𝐫 𝟑𝐪 + 𝟐.

𝐍𝐨𝐰 𝐬𝐪𝐮𝐚𝐫𝐞 𝐞𝐚𝐜𝐡 𝐨𝐟 𝐭𝐡𝐞𝐬𝐞 𝐚𝐧𝐝 𝐬𝐡𝐨𝐰 𝐭𝐡𝐚𝐭 𝐭𝐡𝐞𝐲 𝐜𝐚𝐧 𝐛𝐞 𝐫𝐞𝐰𝐫𝐢𝐭𝐞𝐞𝐧 𝐢𝐧 𝐭𝐡𝐞 𝐟𝐨𝐦𝐫 𝟑𝐦 𝐨𝐫 𝟑𝐦 + 𝟏]

Question 3:

Use Euclid’s division lemma to show that the cube of any positive integer is of the form 𝟗𝒎,𝟗𝒎 + 𝟏 𝒐𝒓 𝟗𝒎 + 𝟖.

Question 4:

Find the LCM and HCF of the following pairs of integers and verify that

LCM × HCF = product of the two numbers.

(i) 26 𝑎𝑛𝑑 91 (ii) 510 𝑎𝑛𝑑 92 (iii) 336 𝑎𝑛𝑑 54

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MATHEMATICS:-

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Question 5:

Find the LCM and HCF of the following integers by applying the prime factorization method.

(i) 𝟏𝟐, 𝟏𝟓 𝒂𝒏𝒅 𝟐𝟏 (ii) 𝟏𝟕, 𝟐𝟑 𝒂𝒏𝒅 𝟐𝟗 (iii) 𝟖, 𝟗 𝒂𝒏𝒅 𝟐𝟓

Question 6:

Prove that √𝟓 is irrational.

Question 7:

Prove that 𝟑 + 𝟐√𝟓 is irrational.

Question 8:

Prove that the following are irrationals:

(i) 𝟏

√𝟐

(ii) 𝟕√𝟓

(iii) 𝟔 + √𝟐

Question 9:

Show that any positive odd integer is of the form 𝟔𝒒 + 𝟏 𝒐𝒓, 𝟔𝒒 + 𝟑 𝒐𝒓, 𝟔𝒒 +

𝟓, 𝐰𝐡𝐞𝐫𝐞 𝐪 𝐢𝐬 𝐬𝐨𝐦𝐞 𝐢𝐧𝐭𝐞𝐠𝐞𝐫.

Question 10:

Prove that the square of any positive integer is of the form 𝟒𝒒 𝒐𝒓 𝟒𝒒 + 𝟏 for some integer q.




Q.11 Prove that if a positive integer is of the form 6q + 5, then it is of the form 3q + 2 for some integer q, but not conversely.

Q.12 Prove that the product of three consecutive positive integer is divisible by 6.

Q.13 For any positive integer n , prove that 𝒏𝟑− n divisible by 6.

Q.14 Define HOE of two positive integers and find the HCF of the following pairs of numbers:

(i) 32 and 54

(ii) 18 and 24

(iii) 70 and 30

(iv) 56 and 88

(v) 475 and 495

Q.15 Use Euclid’s division algorithm to find the HCF of

(i) 135 and 225 (ii) 196 and 38220

Q.17 If the HCF of 408 and 1032 is expressible in the form 1032 m − 408 × 5, find m.

Q.18 If the HCF of 657 and 963 is expressible in the form 657 x + 963 x − 15, find x.

Q.19 Find the largest number which divides 615 and 963 leaving remainder 6 in each case.

Q.20 Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.

Q.21 Find the largest number which exactly divides 280 and 1245 leaving remainders 4 and 3, respectively.




com CBSE 10th Polynomials

Unsolved Paper

_________________________________________________________________________

Question1: Find the zeroes of each of the following quadratic polynomials and verify the relationship between the zeroes and their coefficient:

(i) 𝐟(𝐱) = 𝐱𝟐 − 𝟐𝐱 − 𝟖

(ii) 𝐪(𝐱) = √𝟑𝐱𝟐 + 𝟏𝟎𝐱 + 𝟕√𝟑

(iii) 𝐡(𝐭) = 𝐭𝟐 − 𝟏𝟓

(iv) 𝐟(𝐱) = 𝐱𝟐 − (√𝟑 + 𝟏)𝐱 + √𝟑

(v) 𝐠(𝐱) = 𝐚(𝐱𝟐 + 𝟏) − 𝐱(𝐚𝟐 + 𝟏)

(vi) 𝐟(𝐱) = 𝐱𝟐 − 𝟐√𝟐𝐱 + 𝟔

(vii) 𝐟(𝐱) = 𝐱𝟐 − 𝟑 = 𝟕𝐱

Question2:

If α and β the zeroes of the quadratic polynomial f(x) = 𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄, then evaluate:

(i) 𝛂 − 𝛃

(ii) 𝟏

𝛂–

𝟏

𝛃

(iii) 𝟏

𝛂+

𝟏

𝛃− 𝟐𝛂𝛃

(iv) 𝛂𝟐𝛃 + 𝛂𝛃𝟐

(v) 𝛂𝟒 + 𝛃𝟒

(vi) 𝛃

𝐚𝛂+𝐛+

𝛂

𝛂𝛃+𝐛




(vii) 𝟏

𝐚𝛂+𝐛+

𝟏

𝐚𝛃+𝐛

(viii) 𝒂 [𝛂𝟐

𝛃+

𝛃𝟐

𝛂] + 𝒃 [

𝛂

𝛃+

𝛃

𝛂]

Q.3. If 𝛼 and 𝛽 are the zeros of the quadratic polynomial 𝐟(𝐱) = 𝟔𝒙𝟐 + 𝒙 − 𝟐 find the value

of 𝛂

𝛃+

𝛃

𝛂

Q.4. If 𝛂 and 𝛃 are the zeroes of the quadratic polynomial 𝒑(𝒙) = 𝟒𝒙𝟐 − 𝟓𝒙 − 𝟏, find the value of 𝛂𝟐𝛃 + 𝛂𝛃𝟐. Q.5. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒙𝟐 − 𝒙 − 𝟒, find the

value of 𝛂

𝛃+

𝟏

𝛂+

𝟏

𝛃− 𝛂𝛃

Q.6. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒙𝟐 − 𝒙 − 𝟐, find the

value of 𝟏

𝛂−

𝟏

𝛃.

Q.7. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒙𝟐 − 𝟓𝒙 + 𝟒 , find the

value of 𝟏

𝛂−

𝟏

𝛃− 𝟐𝛂𝛃

Q.8. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒕) = 𝒕𝟐 − 𝟒𝒕 + 𝟑, find the value of 𝛂𝟒𝛃𝟑 + 𝛂𝟑𝛃𝟒

Q.9. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒑(𝒚) = 𝟓𝒚𝟐 − 𝟕𝒚 + 𝟏, find the

value of 𝟏

𝛂+

𝟏

𝛃

Q.10. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒑(𝒔) = 𝟑𝒔𝟐 − 𝟔𝒔 + 𝟒, find the

value of 𝛂

𝛃 +

𝛃

𝛂+ 𝟐 ⌊

𝟏

𝛂+

𝟏

𝛃 ⌋ + 𝟑𝛂𝛃




Q.11 If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒙𝟐 − 𝒑𝒙 + 𝒒, prove that

𝛂𝟐

𝛃𝟐+

𝛃𝟐

𝛂𝟐=

𝐩𝟒

𝒒𝟐−

𝟒𝐩𝟐

𝐪+ 𝟐

Q.12 If the squared difference of the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒌𝒕𝟐 + 𝟐𝒕 + 𝟑𝒌 is equal to their product, find the value of k.

Q.13. If one zero of the quadratic polynomial 𝒇(𝒙) = 𝟒𝒙𝟐 − 𝟖𝒌𝒙 − 𝟗 is negative of the other, find the value of k.

Q.14. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒙𝟐 − 𝟏, find a quadratic

polynomial whose zeroes are 𝟐𝛂

𝛃 𝒂𝒏𝒅

𝟐𝛃

𝛂

Q.15. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒙𝟐 − 𝟑𝒙 − 𝟐, find a

quadratic polynomial whose zeroes are 𝟏

𝟐𝛂+𝛃+

𝟏

𝟐𝛃+𝛂

Q.16. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of a quadratic polynomial such that a + 13 = 24 and 𝛂 −

𝛃 = 𝟖, find a quadratic polynomial having 𝛂 𝐚𝐧𝐝 𝛃 as its zeroes.

Q.17. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒙𝟐 − 𝒑(𝒙 + 𝟏) − 𝒄,

Show that (𝛂 + 𝟏)( 𝛃 + 𝟏) = 𝟏 − 𝐜.

Q.18. If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the quadratic polynomial 𝒇(𝒙) = 𝒙𝟐 − 𝟐𝒙 + 𝟑, find a

polynomial whose roots are (𝒊) 𝛂 + 𝟐, 𝛃 + 𝟐 (𝒊𝒊)𝛂−𝟏

𝛂+𝟏 ,

𝛃−𝟏

𝛃+𝟏

Q.19: If 𝛂 𝐚𝐧𝐝 𝛃 are the zeroes of the polynomial 𝒇(𝒙) = 𝒙𝟐 + 𝒑𝒙 + 𝒒, form a polynomial whose zeroes are (𝛂 + 𝛃)𝟐 𝒂𝒏𝒅 (𝛂 − 𝛃)𝟐.




Q.20. Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeroes and coefficients in each case:

(𝒊) 𝒇(𝒙) = 𝟐𝒙𝟑 + 𝒙𝟐 − 𝟓𝒙 + 𝟐 ; 𝟏

𝟐, 𝟏, −𝟐

(𝒊𝒊) 𝒈(𝒙) = 𝒙𝟑 − 𝟒𝒙𝟐 + 𝟓𝒙 − 𝟐 ; 𝟐, 𝟏, 𝟏

Q.21. Find a cubic polynomial with the sum, sum of the product of its zeroes taken at a time, and product of its zeroes as 3, -1, and -3 respectively.

Q.22. If the zeroes of the polynomial 𝒇(𝒙) = 𝟐𝒙𝟑 − 𝟏𝟓𝒙𝟐 + 𝟑𝟕𝒙 − 𝟑𝟎 are in A.P., find them.

Q.23. Find the condition that the zeroes of the polynomial 𝒇(𝒙) = 𝒙𝟑 + 𝟑𝒑𝒙𝟐 + 𝟑𝒒𝒙 + 𝒓 may be in A.P.

Q.24. If the zeroes of the polynomial 𝒇(𝒙) = 𝒂𝒙𝟑 + 𝟑𝒃𝒙𝟐 + 𝟑𝒄𝒙 +

𝒅 𝒂𝒓𝒆 𝒊𝒏 𝑨. 𝑷. , 𝒑𝒓𝒐𝒗𝒆 𝒕𝒉𝒂𝒕 𝟐𝒃𝟑 − 𝟑𝒂𝒃𝒄 + 𝒂𝟐𝒅 = 𝟎

Question 25:

If the zeroes of the polynomial 𝒇(𝒙) = 𝒙𝟑 − 𝟏𝟐𝒙𝟐 + 𝟑𝟗𝒙 +

𝒌 𝒂𝒓𝒆 𝒊𝒏 𝑨. 𝑷. , 𝒇𝒊𝒏𝒅 𝒕𝒉𝒆 𝒗𝒂𝒍𝒖𝒆 𝒐𝒇 𝒌.

Question 26:

Apply division algorithm to find the quotient 𝒒(𝒙) and remainder 𝒓(𝒙) on dividing 𝒇(𝒙) by 𝒈(𝒙) in each of the following:

(i) 𝒇(𝒙) = 𝒙𝟑 − 𝟔𝒙𝟐 + 𝟏𝟏𝒙 − 𝟔, 𝒈(𝒙) = 𝒙𝟐 + 𝒙 + 𝟏

(ii) 𝒇(𝒙) = 𝟏𝟎𝒙𝟒 + 𝟏𝟕𝒙𝟑 − 𝟔𝟐𝒙𝟐 + 𝟑𝟎𝒙 − 𝟑, 𝒈(𝒙) = 𝟐𝒙𝟐 + 𝟕𝒙 + 𝟏

(iii) 𝒇(𝒙) = 𝟒𝒙𝟑 + 𝟖𝒙𝟐 + 𝟖𝒙 + 𝟕, 𝒈(𝒙) = 𝟐𝒙𝟐 − 𝒙 + 𝟏

(iv) 𝒇(𝒙) = 𝟏𝟓𝒙𝟑 − 𝟐𝟎𝒙𝟐 + 𝟏𝟑𝒙 − 𝟏𝟐, 𝒈(𝒙) = 𝒙𝟐 − 𝟐𝒙 + 𝟐




Question27:

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm:

(i) 𝒈(𝒕) = 𝒕𝟐 − 𝟑 ; 𝒇(𝒕) = 𝟐𝒕𝟒 + 𝟑𝒕𝟑 − 𝟐𝒕𝟐 − 𝟗𝒕

(ii) 𝒈(𝒙) = 𝒙𝟐 − 𝟑𝒙 + 𝟏 ; 𝒇(𝒙) = 𝒙𝟓 − 𝟒𝒙𝟑 + 𝒙𝟐 + 𝟑𝒙 + 𝟏

(iii) 𝒈(𝒙) = 𝟐𝒙𝟐 − 𝒙 + 𝟑 ; 𝒇(𝒙) = 𝟔𝒙𝟓 − 𝒙𝟒 + 𝟒𝒙𝟑 − 𝟓𝒙𝟐 − 𝒙 − 𝟏𝟓

Question 28:

Obtain all zeroes of the polynomial 𝒇(𝒙) = 𝒙𝟒 − 𝟑𝒙𝟐 = 𝒙𝟐 + 𝟗𝒙 if two of its zeroes are

−√𝟑, 𝒂𝒏𝒅 √𝟑 .

Question 29:

What must be subtracted from the polynomial 𝒙𝟒 + 𝟑𝒙𝟑 − 𝟏𝟑𝒙𝟐 − 𝟏𝟐𝒙 + 𝟐𝟏, so that the resulting polynomial is exactly divisible by 𝒙𝟐 − 𝟒𝒙 + 𝟑?

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com CBSE 10th Linear Equations in Two Variable

Unsolved Paper

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Question 1:

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Question 2:

One Says, “Give me a hundred, friend! I shall then become twice as rich as you.” The other

replies, “If you give me ten, I shall be six times as rich as you.” Tell me what is the amount

of their respective capital?

Question3:

5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils cost Rs. 5. Find the cost of 1 pen and 1 pencil.

Question 4:

7 audio cassettes and 3 video cassettes cost Rs 1110, while 5 audio cassettes and 4 video cassettes cost Rs 1350. Find the cost of an audio cassette and a video cassette.

Question 5:

Reena has pens and pencils which together are 40 in number. If she has 5 more pencils and 5 less pens, then number of pencils would become 4 times the number of pens. Find the original number of pens and pencils.




Question 6:

4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950. Find the cost of 2 chairs and 1 table.

Question 7:

# bags and 4 pens together cost Rs 257 whereas 4 bags and 3 pens together cost Rs 324.

Find the total cost of 1 bag and 10 pens.

Question 8:

5 books and 7 pens together cost Rs 79 whereas 7 books and 5 pens together cost Rs 77.

Find the total cost of 1 book and 2 pens.

Question 9:

A and B each have a certain number of mangoes. A says to B, “if you give 30 of your

mangoes, I will have twice as many as left with you.” B replies, “If you give me 10, ,I will

have thrice as many as left with you.” How many mangoes does each have?

Question 10:

The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later he buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.

Question 11:

𝟏𝟏𝒙 + 𝟏𝟓𝒚 + 𝟐𝟑 = 𝟎

𝟕𝒙 − 𝟐𝒚 − 𝟐𝟎 = 𝟎

Question 12:

𝟑𝒙 − 𝟕𝒚 + 𝟏𝟎 = 𝟎

𝒚 − 𝟐𝒙 − 𝟑 = 𝟎




Question 13:

𝟎. 𝟒𝒙 + 𝟎. 𝟑𝒚 = 𝟏. 𝟕

𝟎. 𝟕𝒙 + 𝟎. 𝟐𝒚 = 𝟎. 𝟖

Question 14:

𝒙

𝟐+ 𝒚 = 𝟎. 𝟖

And 𝟕

𝒙+𝒚

𝟐

= 𝟏𝟎

Ques15

𝟕(𝒚 + 𝟑) − 𝟐(𝒙 + 𝟑) = 𝟏𝟒

𝟒(𝒚 − 𝟐) + 𝟑(𝒙 − 𝟑) = 𝟐

Question: 16:

𝒙

𝟕+

𝒚

𝟑= 𝟓

𝒙

𝟐−

𝒚

𝟗= 𝟔

Ques.17:

𝒙

𝟑+

𝒚

𝟒= 𝟏𝟏

𝟓𝒙

𝟔−

𝒚

𝟑= 𝟕

Question:18

𝟒𝒖 + 𝟑𝒚 = 𝟖

𝟔𝒖 − 𝟒𝒚 = −𝟓




Question.19:

𝒙 +𝒚

𝟐= 𝟒

𝒙

𝟑+ 𝟐𝒚 = 𝟓

Question.20:

𝒙 + 𝟐𝒚 =𝟑

𝟐

𝟐𝒙 + 𝒚 =𝟑

𝟐

Question.21:

√𝟐𝒙 + √𝟑𝒚 = 𝟎

√𝟑𝒙 − √𝟖𝒚 = 𝟎

Question:22

𝟑𝒙 −𝒚 + 𝟕

𝟏𝟏+ 𝟐 = 𝟏𝟎

𝟐𝒚 +𝒙 + 𝟏𝟏

𝟕= 𝟏𝟎

Question: 23

𝟐𝒙 −𝟑

𝒚= 𝟗

𝟑𝒙 +𝟕

𝒚= 𝟐, 𝒚 ≠ 𝟎

Question: 24

𝟎. 𝟓𝒙 + 𝟎. 𝟕𝒚 = 𝟎. 𝟕𝟒

𝟎. 𝟑𝒙 + 𝟎. 𝟓𝒚 = 𝟎. 𝟓




Question:25

𝟏

𝟕𝒙+

𝟏

𝟔𝒚= 𝟑

𝟏

𝟐𝒙−

𝟏

𝟑𝒚= 𝟓

Question26:

𝟏

𝟐𝒙+

𝟏

𝟑𝒚= 𝟐.

𝟏

𝟑𝒙+

𝟏

𝟐𝒚=

𝟏𝟑

𝟔

Question: 27

𝒙 + 𝒚

𝒙𝒚= 𝟐

𝒙 − 𝒚

𝒙𝒚= 𝟔

Question:28:

𝟑

𝒙−

𝟏

𝒚= −𝟗

𝟐

𝒙+

𝟑

𝒚= 𝟓

Question29:

𝟐

𝒙+

𝟓

𝒚= 𝟏

𝟔𝟎

𝒙+

𝟒𝟎

𝒚= 𝟏𝟗, 𝒙 ≠ 𝟎, 𝒚 ≠ 𝟎




Question 30:

𝟏

𝟓𝒙+

𝟏

𝟔𝒚= 𝟏𝟐

𝟏

𝟑𝒙−

𝟑

𝟕𝒚= 𝟖, 𝒙 ≠ 𝟎, 𝒚 ≠ 𝟎

Question31:

Solve the following pair of linear equations by the substitution method.

(i) 𝒙 + 𝒚 = 𝟏𝟒 𝒙 − 𝒚 = 𝟒

(ii) 𝒔 − 𝒕 = 𝟑 𝒔

𝟑+

𝒕

𝟐= 𝟔

(iii) 𝟑𝒙 − 𝒚 = 𝟑 𝟗𝒙 − 𝟑𝒚 = 𝟗

(iv) 𝟎. 𝟐𝒙 − 𝟎. 𝟑𝒚 = 𝟏. 𝟑 𝟎. 𝟒𝒙 − 𝟎. 𝟓𝒚 = 𝟐. 𝟑

(v) √𝟐𝒙 + √𝟑𝒚 = 𝟎

√𝟑𝒙 − √𝟖𝒚 = 𝟎

(vi) 𝟑𝒙

𝟐−

𝟓𝒚

𝟑= −𝟐

𝒙

𝟑+

𝒚

𝟐=

𝟏𝟑

𝟔




Question 32:

Form the pair of linear equations for the following problems and find their solution by substitution method.

(i) The difference between two numbers is 26 and one number is three times the other. Find them.

(ii) The larger of two supplementary angles exceeds the smaller by 18 degrees, Find them.

(iii) The coach of a cricket team buys 7 bats and 5 balls for Rs 3800. Later, she buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball.

(iv) The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10km, the charge paid is Rs 105 and for a journey of 15km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km.

(v) A fraction becomes 𝟗

𝟏𝟏, if 2 is added to both the numerator and the denominator.

If, 3 is added to both the numerator and the denominator it becomes 𝟓

𝟔 . Find the

fraction. (vi) Five years hence, the age of Jacob will be three times that of his son. Five years

ago, Jacob’s age was seven times that of his son. What are their present ages?

Question 33:

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method.

(i) 𝒙 − 𝟑𝒚 − 𝟑 = 𝟎 𝟑𝒙 − 𝟗𝒚 − 𝟐 = 𝟎

(ii) 𝟐𝒙 + 𝒚 = 𝟓 𝟑𝒙 + 𝟐𝒚 = 𝟖

(iii) 𝟑𝒙 − 𝟓𝒚 = 𝟐𝟎 𝟔𝒙 − 𝟏𝟎𝒚 = 𝟒𝟎

(iv) 𝒙 − 𝟑𝒚 − 𝟕 = 𝟎 𝟑𝒙 − 𝟑𝒚 − 𝟏𝟓 = 𝟎



9997052670, 7055005600 CLASS – X HOLIDAY HOMEWORK

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