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HOLIDAY HOMEWORK (2015-16)

CLASS- X

ENGLISH

(GRAMMAR)

DO YOUR WORK IN A SEPARATE NOTEBOOK

TASK-1 Revise DETERMINERS AND TENSES.

TASK-2 The recent trend of lifestyle has made man prone to acquire various kinds of diseases.

Today, people hardly want to do manual labour. The most vital is with the children, why they

do not play outdoor games and depend solely on amusing themselves watching television,

which results in obesity. Write an article on the increasing obesity among children in the recent

days.

TASK-3 Write an article on ‘Corruption in Public Life’.

TASK -4 Ajay decided to write a story, but after a few lines he could not complete the story as

he felt bored. Complete his story on the basis of the beginning given below:

“Once a traveller was passing through a thick Jungle. He came across a little monkey….”

TASK -5 Read English News Paper daily.

(LITERATURE)

Task -1 Prepare a PROJECT on the novel “THE STORY OF MY LIFE” by Hellen Keller.

Introduction

Outline Story

Character Sketches

Theme and Plot

Conclusion

Note: Project should be of minimum 20 coloured sheets along with colourful pictures pasted in

it.

2

SCIENCE

1. How biogas plant is today’s need in villages.

2. With the help of diagram, explain construction and working of solar cooker.

3. Explain nuclear wastes. What are the problems ingerent in their disposal

4. Why a single cell is cannot be used for electricity production. Why it is very expensive to

use solar cells.

5. How is electricity produced n hydro power plant

6. Explain why combination reactions are opposite of decomposition reactions

7. Explain with help of an activity, how water can be decomposed through electric current.

8. What is rancidity? What precautions must be taken to prevent it.

9. Explain the phenomenon of “corrosion” with help of chemical equations.

10. What is the need to balance a chemical equation. Explain

11. Why there is no digestion is oesophagus.

12. Why are vitamins and minerals not digested?

13. Why is appendix a vestigial organ?

14. Write down the functions of liver?

15. What happens in large intestine?

PROJECT REPORT – prepare a project on topic- “Environmental consequences of using

various sources of energy”.

SOCIAL SCIENCE

General instructions:

(i) Do holidays homework of social science in class notebook.

(ii) Do the work neatly as marks will be given and added to formative Assessment 2.

ECONOMICS

1. Read and revise chapter 1

2. Frame at least 10- 12 one word or one sentence Questions with their answers from

chapter 2

3. Poster making (Topic)

(i) Development goal journey

(ii) On a double sheet in Eco notebook

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(iii) Make a poster describing the development goal of any one of the following topic

with the help of pictures.

a. Auto rickshaw puller

b. Landless labourer

c. Industrialist

4. Find out present sources of energy used by People in India. What could be possibilities

50 years from now?

5. Assume that there are four families each in two countries. study the table given below

carefully and answer the questions:-

A B C D Average

Country X 12000 11000 - 13000 -

Country Y 4000 6000 7000 34000 -

a. Fill in the blanks in a way that both countries X and Y have the same average Income.

b. Now explain which country is better off and Why?

CIVICS

1. Read chapter 2.

2. Frame at least 10-12 questions answer one word or one sentence from chapter 2

3. Write ethnic composition of Srilanka and Belgium with diagram.

4. Revise all concepts done in the class of chapter 1.

HISTORY

Read and revise chapter 1

Answer the following Questions:-

1. What was the darker side to the process of flourishing trade and expanding market

in the 19th century? Collect information and paste pictures related to trade.

2. Explain the example of indentured labour migration from India. Also illustrate the

two sided nature of the 19th century world.

3. India played a crucial role in the late 19th century world economy. Explain by giving

examples.

4. Explain the role of Technology in shaping the world economy. Paste some pictures of

new inventions like railways, ships, wagons, Tmodel car etc.

5. What were the consequences of the Second World War?

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GEOGRAPHY

Read and revise chapter 1

Answer the following Questions:-

1. Why are resources necessary for human beings.

2. Give a note on different type of relief features in India and Paste pictures relate to it.

3. What measures have been taken by the central and state government for the

protection and conservation of wild life?

4. Collect information about India’s flora and fauna and paste pictures also.

PROJECT WORK

Prepare a Project on “FIRST AID”.

Guidelines

Acknowledgement

introduction of topic

Main objectives of First Aid.

Action Plan

conclusion

Bibliography

Note: Project work should not be less than 15 pages.Make the project Interactive by

making use of pictures.

MATHS

EXERCISE 1.1

Q1 Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Q2 Prove that every positive integer is either of the form 3m or 3m + 1 or 3m + 2 for some integer m.

Q3 Show that only one out of three consecutive integers is divisible by 3.

Q4 Show that only one out of n, n + 3, n + 6 or n + 9 is divisible by 4.

Q5 Show that the square of any positive integer is of the form 4q or 4q + 1 for some integer q.

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Q6 Prove that cube of any positive integer is either of the form 2q or 2q + 1 for some integer q.

EXERCISE 1.2

Q1 Find the HCF of the following pairs of numbers using Euclid’s division algorithm.

(i) 51 and 34 (ii) 115 and 161

(iii) 142 and 213 (iv) 175 and 225

(v) 353 and 392 (vi) 1053 and 1197

Q2 Use Euclid’s division algorithm to find the HCF of

(i) 999,296,925 (ii) 4131,12393 and 14297

Q3 Find the largest number which exactly divides 139 and 229, leaving remainder 4 in each case.

Q4 Find the largest number which will divide 870 and 257, leaving remainder 3 and 2, respectively.

Q5 find the greatest number that will divide 442, 569, 696, leaving remainder 1, 2 and 3, respectively.

Q6 105 packets of mango juice and 240 packets of orange juice are to be stacked in a canteen. If each stack is of the

same height and is to contain packs of same juice, what would be the maximum number of packets in each stack?

Also find how many stacks?

Q7 The length, breadth and height of a room are 7 m 65 cm, 5 m 85 cm and 4 m 95 cm, respectively. Find the longest

rod which can measure the three dimensions of the room exactly.

Q8 A sweet seller has 420 kaju burfis and 130 badam burfis. He wants to stack them in such a way that each stack has

the same number and they take up the least area of the tray. What is the number of burfis that can be placed in

each stack?

Q9 195 girls and 255 boys are there in Class X of a school. If you are asked to divide them into maximum number of

sections and each section should have equal number of boys and equal number of girls, what will be the number

of sections. How many boys and how many girls will there be in each section?

Q10 Express HCF of 305 and 793 as 305x + 793y, where x and y are integers.

Q11 Three tankers contain 403 litres, 434 litres and 565 litres of diesel, respectively. Find the maximum capacity of a

container that can measure the diesel of all three containers exact number of times.

Q12 Length and breadth of a room is 4 m 95 cm and 16 m 65 cm is to be paved exactly with square tiles, all of same

size. What is the largest size of the tile which could be used for the purpose? How many such tiles are required?

Q13 Find the greatest number, which of dividing 1657 and 2037 leaves remainder 6 and 5 , respectively.

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Q14 Find the HCF of 513, 1134 and 1215 using Euclid’s division algorithm.

EXERCISE 1.3

Q1 Find the prime factorization of following numbers

(i) 6125 (ii) 1352 (iii) 2730 (iv) 8050

Q2 find the LCM and HCF of the following numbers by (prime factorization method) using Fundamental Theorem of

Arithmetic.

(i) 108,288 (ii) 204, 1190 (iii) 1651,2032

Q3 HCF of 2923 and 3239 is 79 Find their LCM.

Q4 Given LCM (108, 2100) = 18900, Find the HCF.

Q5 Verify “Product of two numbers = HCF LCM” for the following pairs of numbers.

(i) 144, 198 (II) 161,207 (iii) 396, 1080

Q6 The HCF of two numbers is 11 and their LCM is 7700. If one of the numbers is 275, find the other number.

Q7 The HCF of two numbers is 8. Can the LCM of there numbers be 60? Give reason.

Q8 Product of two co prime numbers is 117. Find their LCM.

Q9 The LCM of two numbers is 495 and their HFC is 5. If the sum of two numbers is 100, find the numbers.

Q10 Find the least number exactly divisible by 12,15,20 and 27.

Q11 Six bells commence tolling together and toll at intervals of 2,4,6,8,10 and 12 seconds, respectively. In 30 minutes,

how many times do they toll together?

Q12 Traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec, respectively. If they all

change simultaneously at 8:20 hrs, then at what time will they again change simultaneously?

Q13 Find the largest number of four digits exactly divisible by 12, 15,18 and 27.

Q14 Check whether 3n can end with digit 5 for any positive integer n.

Q15 Explain why (11 23 + 11 23 29) is a composite number.

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EXERCISE 1.4

Q1 Classify the following as rational or irrational numbers.

(i) 17 (ii) 16 (iii) 3 + 2

(iv) 2 – 3 (2008) (v) ( 3 – 1)2 (vi) (2+ 3) (2 – 3)

Q2 Prove that 7 is an irrational number.

Q3 Prove that 3 +2

3

2

is a rational number.

Q4 Show that 3 + 2 5 is an irrational number.

Q5 Prove that the following are irrational numbers:

(i) 2 + 5 (ii) 3 –2 (iii) 5

5 (iv) 3 7

Q6 Prove that 1

3–1 is an irrational number.

EXERCISE 1.5

Q1 Without actually dividing, say whether the following rational numbers will have a terminating or non-terminating

repeating decimal expansion.

(i) 69

550 (ii)

3

4 (iii)

751

250 (iv)

8

45 (iv)

45

1800

Q2 Write the decimal representation of the following;

(i) 5

8 (ii)

3

75 (iii)

23

125

Q3 What can you say about the prime factors of denominator.

(i) 1.333… (ii) 2.25 (iii) 4.1313… (iv) 6.27

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Ex – 3.1

Q1. Form a pair of linear equations for the given information : 5 pens and 7 books together cost Rs. 79,

whereas 7 pens and 5 books together cost Rs. 77. Represent the system of equations graphically.

Q2. “Autorikshaw fare for the first kilometer is different from the rate per km for the remaining

distance. The total fare for a distance of 16 km is Rs. 33.50 and that for a distance of 30 km it is Rs.

61.50.” Express this information algebraically.

Q3. “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”. Represent this information as a pair of linear equations and draw

its graph.

Q4. “There are 10 paise and 25 paise coins in a purse. If there are 60 coins in the purse and total value

of the coins is Rs. 8.25”. Form a pair of linear equations and represent them graphically.

Q5. A says to B “Give me Rs. 5 and I shall have the same amount as you will have”. B replies “Give me

Rs. 5 and I shall have 5 times the amount as you will have”. Represent this information as a pair of

linear equations. Also represent these graphically.

Q6. Paths of two roads are given by the equations y – 2x = t and 2y – x = 8. Represent, this information

graphically. Find whether these two roads meet.

Q7. In a school ratio of boys to girls is 4 : 1. After a few months, 30 students left, out of which 20 are

girls, hence ratio of boys to girls become 5 : 1. Represent this in the form of linear equations and

draw the graph.

Q8. A lending library has a fixed charge for the first three days and an additional charge for each day

thereafter. Vandana paid Rs. 27 for a book kept for 7 days, while Divya paid Rs. 21 for the book she

kept for five days. Form a pair of linear equations and represent these graphically.

Q9. A two digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted from the

number, the digits are reversed. Represent this as a pair of linear equations and draw the graph.

Q10. The sum of the numerator and denominator of a fraction is 3 less than twice the denominator. If

the numerator and denominator are decreased by 1, the numerator becomes half the

denominator. Form a pair of linear equations and represent graphically.

Ex – 3.2

Solve graphically :

Q1. 2x – 3y = 6 ; 2x + 3y = – 18

Q2. 2x + 3y + 3y = – 1 ; 2x – 3y = 5

Q3. x + y = 4 ; 2x + 2y = 8

Q4. 2x + 4y = 10 ; 3x + 6y = 12

Q5. 2x + y = 6 ; 2x – y + 2 = 0

Q6. 3x – 5y = 20 ; 6x – 10 y = – 40

Q7. 2y – x = 8 ; y – 2x = 1

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Q8. 2x + 3y + 5 = 0 ; 3x – 2y – 12 = 0

Q9. 4

3𝑥 + 𝑦 = 3 ; 5x + 2y = 13

Q10. 2x – 3y = 1 ; 3x – 4y = 1

Q11. Draw the graph of x + 3y = 6 and 2x – 3y = 12. Also find the area of triangle formed by x = 0, y = 0

and 2x – 3y = 12

Q12. Draw the graph of 2x + y = 6, 2x – y + 2 = 0. Shade the region hounded by these lines and the x –

axis. Find the vertices and the area of the shaded region.

Q13. Solve the system graphically x + y = 3 and 3x – 2y = 4. Shade the region bounded by these lines and

the y – axis. Find the vertices of the shaded region.

Q14. Draw the graph and find whether the given system of equations 3𝑥 −𝑦

2= 4 and 2x + 3y = 16 is

consistent.

Q15. Draw the graph of 2x – 5y + 4 = 0 and 2x + y – 8 = 0 and find where these lines meet the x – axis.

Q16. Draw the graph of 5x – y = 7 and x – y + 1 = 0. Also find the coordinates of the points where these

lines intersect the y – axis.

Q17. Draw the graph of 4x – 5y = 20 and 3x + 5 y = 15 determine the vertices of the triangle format by 4x –

5y = 20 and x = 0 and y = 0. Also find the vertices of the triangle formed by 3𝑥 + 5𝑦 = 15 ,𝑦 = 0 and

𝑥 = 0. Find the ratio of the areas of the two triangles.

Q18. Show graphically 3x – y = 5 and 6x –2x = 10 has infinitely many solutions.

Q19. Show graphically x – y + 1 = 0 and 3x + 2y – 12 = 0 has unique solution. Also find the areas of triangle

formed by theses lines with x – axis and y – axis.

Q20. Show graphically that the system of equation 2x – 3y = 5 and 6y – 4x = 3 has no solution.

Q21. Show graphically that the system of equation 4x –3y + 4 = 0 , 4x – 3y + 7 = 0 is inconsistent.

Q22. The length of a rectangular garden is 4 m more than its width. If the perimeter is 72 m find the

dimension of the garden graphically.

Q23. Represent the given system graphically and find whether it is consistent or inconsistent 3x +2y = 11

and 2x – 3y + 10 = 0.

Q24. Determine by dawning graphs of 2x – y = 2 and 2y – 4x = 2 whether the given system of equations has

a unique solution or not.

Q25. Determined graphically whether the system of equations 3x + y = 1 and 2 – 6x = 2y is consistent or

inconsistent.

Q26. Use a single graph paper and draw the graph of y = x, y = –x and y = 5. Obtain the vertices of triangle

formed by theses lines

Ex – 3.3

Q1. Express y in terms of x from the equation 4x +3y = 5

Q2. Express x in terms of y from the equation 2y+3x–11=0

Solve the flowing system of equations by substitution method

Q3. 2x + 3y = 13 and 4x – y = 5

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Q4. x– y + 1 = 0 and 2x+ y – 10 = 0

Q5. 4x + 6y = 18 and 2x + 3y = 9

Q6. 2x + 3y – 7 = 0 and 2x + 6y – 5 = 0

Q7. 3x – 7 + 10 = 0 and y – 2x –3 = 0

Q8. X+ 2y = 3

2 and 2x +y =

3

2

Q9. 3x + 6y = 7 and 9x + 3y = 11

Q10. 2𝑥

𝑎+

𝑦

𝑏 =2 and

𝑥

𝑎−

𝑦

𝑏 = 4

Solve the flowing by method of elimination by equation coefficients

Q11. 2x – 3y = 1 and 3x – 4y =1

Q12. 3x + y + 1 = 0 and 2x – 3y + 8 = 0

Q13. 3x + 2y –11 = 0 and 2x – 3y + 10 = 0

Q14. 3x + y – 12 = 0 and x – 3y + 6 = 0

Q15. 𝑥

10+

𝑦

5= 14 and

𝑥

8+

𝑦

6= 15

Solve the following system of equations.

Q16. 19x + 23y = 107 and 23x + 19y = 103.

Q17. 47x + 31y = –1 and 31x + 47y = 79

Q18. 31x + 23y = 39 and 23x + 31y = 15

Q19. 4𝑥 +6

𝑦= 2 and 3𝑥 +

7

𝑦= −1

Q20. 2

𝑥+

3

𝑦= 13 and

5

𝑥−

4

𝑦= −2,𝑥 ≠ 0,𝑦 ≠ 0

Q21. 2𝑢 + 5𝑣 = 6𝑢𝑣 and 4𝑢 − 5𝑦 = −3𝑢𝑣

Q22. 1

𝑥+𝑦=

1

8 and

1

𝑥−𝑦=

−1

2,𝑥 − 𝑦 ≠ 0,𝑥 + 𝑦 ≠ 0

Q23. 3

𝑥+

2

𝑦= 9 and

4

𝑥−

6

𝑦= −1,𝑥 ≠ 0, 𝑦 ≠ 0

Q24. 6

𝑥+𝑦−

7

𝑥−𝑦=

5

4 and

1

2(𝑥+𝑦)−

1

3(𝑥−𝑦 )=

1

6

Q25. 3

𝑥+1−

2

𝑦−1=

7

20 and

5

𝑥+1−

3

𝑦−1=

5

8

Q26. 3𝑥 − 5𝑦 = 0 and 2𝑥 + 3𝑦 = 0

Q27. 1

2(2𝑥+3𝑦 )+

12

7(3𝑥−2𝑦 )=

1

2 and

7

2𝑥+3𝑦+

4

3𝑥−2𝑦= 2

Where 2x + 3y ≠ 0 and 3x – 2y ≠ 0

Q28. 0.7𝑥 − 1.5𝑦 = 0.2 and 0.1𝑥 + 0.2𝑦 = 0.3

Q29. 1.1𝑥 + 1.5𝑦 = −2.3 and 0.7𝑥 − 0.2𝑦 = 2

Q30. 7𝑥−2𝑦

𝑥𝑦= 5 and

8𝑥+7𝑦

𝑥𝑦= 15

Ex – 3.4

Solve by cross – multiplication method

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Q1. 𝑥 + 2𝑦 = 3 and 2𝑥 + 3𝑦 = 8

Q2. 0.4𝑥 + 0.3𝑦 = 1.7 and 0.7𝑥 − 0.2𝑦 = 0.8

Q3. 𝑥 − 3𝑦 − 7 = 0 and 3𝑥 − 3𝑦 − 15 = 0

Q4. 2𝑥 + 𝑦 = 5 and 3𝑥 + 2𝑦 = 8

Solve the following systems of equations :

Q5. 𝑎𝑥 + 𝑏𝑦 = 𝑐 and 𝑏𝑥 + 𝑎𝑦 = 1 + 𝑐

Q6. 𝑎 − 𝑏 𝑥 + 𝑎 + 𝑏 𝑦 = 2(𝑎2 − 𝑏2) and 𝑎 + 𝑏 𝑥 − 𝑎 − 𝑏 𝑦 = 4𝑎𝑏

Q7. 𝑎 − 𝑏 𝑥 + 𝑎 + 𝑏 𝑦 = 𝑎2 − 2𝑎𝑏 − 𝑏2 and 𝑎 + 𝑏 𝑥 − 𝑦 = 𝑎2 + 𝑏2

Q8. 𝑎𝑥 + 𝑏𝑦 = 𝑎 − 𝑏 and 𝑏𝑥 − 𝑎𝑦 = 𝑎 + 𝑏

Q9. 𝑎𝑥 + 𝑏𝑦 = 𝑎2 and 𝑏𝑥 + 𝑎𝑦 = 𝑏2

Q10. 𝑥

𝑎+

𝑦

𝑏= 2 and 𝑎𝑥 − 𝑏𝑦 = 𝑎2 − 𝑏2

Q11. 𝑥

𝑎=

𝑦

𝑏 and 𝑎𝑥 + 𝑏𝑦 = 𝑎2 + 𝑏2

Q12. 6 𝑎𝑥 + 𝑏𝑦 = 3𝑎 + 2𝑏 and 6 𝑏𝑥 − 𝑎𝑦 = 3𝑏 − 2𝑎

Q13. 𝑚𝑥 − 𝑛𝑦 = 𝑚2 + 𝑛2 and 𝑥 + 𝑦 = 2𝑚

Q14. 2 𝑎𝑥 − 𝑏𝑦 + 𝑎 + 4𝑏 = 0 and 2 𝑏𝑥 + 𝑎𝑦 + 𝑏 − 4𝑎 = 0

Q15. 𝑏

𝑎𝑥 +

𝑎

𝑏𝑦 = 𝑎2 + 𝑏2 and 𝑥 + 𝑦 = 2𝑎𝑏

Ex – 3.5

Q1. For what value of k, the system of equation 𝑘𝑥 + 3𝑦 = 4 and 3𝑥 + 2𝑦 = 7 has a unique solution.

Q2. For what value of k, the system of equations 2𝑥 + 3𝑦 = 8 and 3𝑥 − 𝑘𝑦 = 4 has no solution.

Q3. For what value of k, the system of equations 𝑘𝑥 + 2𝑦 = 4 and 2𝑥 + 6𝑦 = 12 will have infinitely

many solution.

Q4. Find the value of ‘a’ and ‘b’ for which the system 2𝑥 + 3𝑦 = 7 and 2𝑎𝑥 + 𝑎 + 𝑏 𝑦 = 28 has

infinite number of solutions.

Q5. Find which value of p, does the pair of equations 4𝑥 + 𝑝𝑦 + 8 = 0 and 2𝑥 + 2𝑦 + 2 = 0 represent

two intersecting lines ?

Q6. For what values of and , the system of equations 2 𝑥 + + 𝑦 = 28 and 2𝑥 + 3𝑦 = 7

represent coincident lines ?

Q7. For what value of k, will the system of equations 𝑥 + 2𝑦 = 5 and 3𝑥 + 𝑘𝑦 − 15 = 0 has

(i) a unique solution

(ii) no solution

Q8. For what value of p will the system of equations

𝑝𝑥 + 3𝑦 = 3 and 12𝑥 + 𝑝𝑦 = 6 has

(i) no solution

(ii) infinite solutions

Q9. For what value of k, the system of equations 𝑘𝑥 + 3𝑦 = 𝑘 − 3 and 12𝑥 + 𝑘𝑦 = 𝑘 will be

inconsistent ?

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Q10. Find the value of p and q for which the system of equations 2𝑥 − 3𝑦 = 7 and 𝑝 + 𝑞 𝑥 −

𝑝 + 𝑞 − 3 𝑦 = 4𝑞 + 𝑞 has infinite number of solutions.

Q11. Find the condition for the system 𝑎𝑥 + 𝑏𝑦 = 𝑐 and 𝑙𝑥 + 𝑚𝑦 = 𝑛 to have unique solution.

Q12. Find the condition for which the system of equations 𝑏𝑦 − 𝑎𝑥 = 𝑎 + 𝑏 and 𝑎𝑥 − 𝑏𝑦 = 𝑐 is

inconsistent.

Q13. Find the value of k for which the system of equations 𝑘𝑥 − 𝑦 = 0 and 6𝑥 − 2𝑦 = 0 will have a non

– zero solution.

Q14. Find the values of and for which the system of equations 3𝑥 + 4𝑦 = 12 and + 𝑥 +

2 − 𝑦 = 5− 1 has more than one solution.

Q15. Show that the system of equations 2𝑥 − 3𝑦 = 5 and 6𝑦 − 4𝑥 = 3 is inconsistent.

Q16. Show that the system of equations 𝑥 + 2𝑦 = 3 and 4𝑥 + 3𝑦 = 2 has a unique solution. Also find

the solution.

Q17. Show that the system of equations 3𝑥 − 5𝑦 = 11 and 6𝑥 − 10𝑦 = 22 has infinitely many

solutions.

Q18. Prove that the system of equations 3𝑥 − 5𝑦 = 7 and 6𝑥 − 10𝑦 = 3 has no solution.

Q19. For what value of k, the system of equations 𝑘𝑥 + 3𝑦 = 4 and 3𝑥 + 2𝑦 = 7 has (i) a unique

solution (ii) no solution (iii) Is there a value of k for which the system will have infinite solutions ?

Q20. For what value of p, the system 3𝑝𝑥 + 6𝑦 = 5 2 , 3 2𝑥 + 2 6𝑦 = 5 3 will have no solution ?

Q21. Find the condition for which the following system will be inconsistent 𝑝 − 𝑞 𝑥 = 𝑝 + 𝑞 𝑦 and

𝑝𝑥 − 𝑞𝑦 = 𝑟

Q22. Find the value of k for which the system 2𝑥 + 3𝑦 = 0 and 4𝑥 + 𝑘𝑦 = 0 has a non – zero solution.

Ex – 3.6

Q1. 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.

Q2. Ramesh has pens and pencils which together are 40 in number. If he 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.

Q3. 3 bags and 4 pens together costs Rs. 257, whereas 4 bags and 3 pens together cost Rs 324. Find the

total cost of 2 bags and 3 pens.

Q4. One selling a T.V. at 5% gain and fridge at 10% gain, a shopkeeper gains Rs 2000. But if he sells the

T.V. at 10% gain and the fridge at 5% loss. He gains Rs 1500 on transaction. Find the actual price of

T.V. and fridge.

Q5. A lending library has a fixed charge for first three days and additional charge for each day

thereafter. Navya paid Rs 27 for a book kept for seven days, while Palak paid Rs 21 for the book she

kept for five days. Find the fixed charge and the change for each extra day.

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Q6. The sum of digits of a two digit number is 15. The number obtained by reversing the order of digits

of given number exceeds the given number by 9. Find the given number.

Q7. The sum of a two digit number and the number obtained by reversing the order of digits is 99. If

the digits differ by 3, find the number.

Q8. A two digit number is 4 times the sum of its digits. If 18 is added to the number the digits are

reversed. Find the number.

Q9. A two digit number is 4 times the sum of its digits and twice the product of digits. Find the number.

Q10. A two digit number is such that the product of its digits is 20. If 9 is added to the number, the digits

interchange their places. Find the number.

Q11. The sum of digits of a two digit number is 9. Also nine times this number is twice the number

obtained by reversing the order of the digits. Find the number.

Q12. Seven times a two digit number is equal to four times the number obtained by reversing the digits.

If the difference between the digits is 3. Find the number.

Q13. A fraction becomes 1

3 is 1 is subtracted from both its numerator and denominator. If 1 is added to

both numerator and denominator, it becomes 1

2 . Find the fraction.

Q14. When 3 is added to the denominator and 2 is subtracted from numerator, a fraction becomes 1

4 .

And when 6 is added to numerator and the denominator is multiplied by 3, it becomes 2

3 . Find the

fraction.

Q15. The sum of numerator and denominator of a fraction is 18. If the denominator is increased by 2,

the fraction reduces to 1

3 . Find the fraction.

Q16. The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If

the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the

fraction.

Q17. The sum of the numerator and denominator of a fraction is 3 less than twice the denominator. If

the numerator and denominator are decreased by 1, the numerator becomes half the

denominator. Determine the fraction.

Q18. Ten years later, Ravi will be twice as old as Vinny and five years ago, Ravi was three times as old as

Vinny. What are present ages of Ravi and Vinny.

Q19. A is elder to B by 2 years. A’s Father F is twice as old as A and B is twice as old as his sister S. if the

ages of the father and sister differ by 40 years, find the age of A.

Q20. The present age of a father is three years more than three times the age of the son. Three years

hence father’s age will be 10 years more than twice the age of the son. Determine their present

ages.

Q21. Father’s age is three times the sum of ages of his two children. After 5 years his age will be twice

the sum of ages of two children. Find the age of the father.

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Q22. Five years hence, father’s age will be three times the age of his son. Five years ago, father was

seven times as old as his son. Find their present ages.

Q23. Points A and B are 70 km apart on a highway. A car starts from A and another car starts from B

simultaneously. It they travel in the same direction, they meet in 7 hours, but if they travel towards

each other, they meet in one hour. Find the speed of two cars.

Q24. A sailor goes 8 km downstream in 40 minutes and returns in 1 hours. Determine the speed of the

sailor in still water and the speed of the current.

Q25. A man walks a certain distance with certain speed. If he walks 1

2 km an hour faster, he takes 1 hour

less. But, if he walks 1 km an hour slower, he takes 3 hours more. Find the distance covered by the

man and his original rate of walking.

Q26. Siddharth travels 760 km to his home partly by train and partly by car. He takes 8 hours if he travels

160 km by train and rest by car. He takes 12 minutes more if he travels 240 km by train and rest by

car. Find the speed of train and car respectively.

Q27. A boat goes 12 km upstream and 40 km, downstream in 8 hours. It can go 16 km upstream and 32

km downstream in same time. Find the speed of the boat in still water and the speed of the

stream.

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VOCATIONAL SUBJECT

Information Technology (IT)

X -A Create a poster on Be smart on the Internet.

X- B Create a poster on Social networking websites.

X- C Create a poster on Latest technologies used to transfer data.

X- D Create a poster on Famous personalities (excluding film stars).

X- E Create a poster on Mind map of website (online shopping/

booking movie show)

Instruction:

1. Submit the hard copy only

2. Use any word processor for making poster

3. It should be colored and on A-4 size sheet