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Copyright © 2015 Science Olympiad Foundation. Printed with the permission of Science Olympiad Foundation. No part of this publication may be reproduced, transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright holder. Ownership of an ebook does not give the possessor the ebook copyright. All disputes subject to Delhi jurisdiction only.

Disclaimer : The information in this book is to give you the path to success but it does not guarantee 100% success as the strategy is completely dependent on its execution. And it is based on last years papers of IMO exam.

Published by : MTG Learning Media (P) Ltd. Corporate Ofce : Plot 99, 2nd Floor, Sector 44 Institutional Area, Gurgaon, Haryana. Phone : 0124 - 4951200 Web: mtg.in Email: [email protected] Regd. Ofce : 406, Taj Taj Apt., Ring Road, Near Safdarjung Hospital, New Delhi-110029

Visit

www.mtg.in for buying books online.

Copyright © 2015 Science Olympiad Foundation. Printed with the permission of Science Olympiad Foundation. No part of this publication may be reproduced, transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright holder. Ownership of an ebook does not give the possessor the ebook copyright. All disputes subject to Delhi jurisdiction only.

Disclaimer : The information in this book is to give you the path to success but it does not guarantee 100% success as the strategy is completely dependent on its execution. And it is based on last years papers of IMO exam.

Published by : MTG Learning Media (P) Ltd. Corporate Ofce : Plot 99, 2nd Floor, Sector 44 Institutional Area, Gurgaon, Haryana. Phone : 0124 - 4951200 Web: mtg.in Email: [email protected] Regd. Ofce : 406, Taj Taj Apt., Ring Road, Near Safdarjung Hospital, New Delhi-110029

Visit

www.mtg.in for buying books online.

CLASS 12

Contents ª

4th IMO 2010

ª

5th IMO 2011

ª

6th IMO 2012 - SET A

ª

6th IMO 2012 - SET B

ª


ª


ª


ª


MTG WORK�BOOKS / OLYMPIAD BOOKS CLASS 1

International Mathematics Olympiad

National Science Olympiad

International English Olympiad

MTG CSS Series

CLASS 2



National Cyber Olympiad


MTG CSS Series


MTG CSS Series

CLASS 3









MTG CSS Series


MTG CSS Series


MTG CSS Series

CLASS 5




CLASS 6







Math IQ Challenge


Science IQ Challenge


MTG CSS Series

Master Mental Ability in 30 Days

CLASS 8





MTG CSS Series

Math IQ Challenge


Psychology of Success

The Secrets of SUCCESS




Math IQ Challenge








CLASS 10


Math IQ Challenge










Math IQ Challenge







CLASS 12


Math IQ Challenge







Class

1 to 10

JEE (Main & Advanced) | AIPMT | BOARDS | OLYMPIAD | NTSE

FOUNDATION COURSE For Classes 7, 8, 9 & 10 Class 7

Class 8

Class 9

Class 10

Class 8

4th

Year 2010

Copyright©2015. Science Olympiad Foundation (SOF)

4th IMO - 2010

SECTION I : LOGICAL REASONING 1.

The square tiles given here are arranged to show a pattern. Which expression can be used to determine the number of square tiles in Stage n? (A) 4n + 3

2.

Stage 1

Stage 2

(C) n2 + 6

(B) 5n + 2

Stage 3

Stage 4

(D) n3 + 6

Which of the following figures comes next in the given pattern ? ? ____

(A) 3.

(D)

(B) ROTAGAIL

(C) ROTAGILE

(D) OTAGILAR

If 'bat' is 'racket', 'racket' is 'football', 'football' is 'shuttle', 'shuttle' is 'ludo' and 'ludo' is 'carrom', what is cricket played with ? (A) Racket

5.

(C)

In a certain code INACTIVE is written as VITCANIE. How is ALIGATOR written in that code ? (A) ROTAGILA

4.

(B)

(B) Football

(C) Bat

(D) Shuttle

Shivani saw the restaurant sign shown below. Manager's Special Choose 1 main dish, 1 side dish, and 1 bread for ` 880. Main Dish Side Dish Bread Meat loaf Corn Dinner roll Biscuit Chicken-fried steak Beans Mashed potatoes Macaroni & Cheese

How many different combinations are possible if Shivani buys the Manager's special ? (A) 8 6.

(C) 24

(D) 11

In the series 6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8, how many pairs of successive numbers have a difference of 2 each ? (A) Four

7.

(B) 16

(B) Five

(C) Six

(D) Seven

This Venn diagram is used to classify counting numbers according to a set of rules. Which one of the following numbers belongs in the region of the 32 diagram marked by the question mark ? 4 28

(A) 45

6

16 12

8

(B) 50

20

(C) 60

5

3 9

? 25

15 35 10

(D) 65 8.

If you cut out and fold the pattern shown on the right to make a cube, which letter will be on the face of the cube opposite the face labelled 3 ? (A) 2

4th IMO | Level-I | Class 8

(B) 1

(C) 5 2


5 1 2 3 4 6

(D) 6

4th IMO - 2010

9.

The given chart shows how much the Party house charges for pizza parties for different number of people.

Number of People

Cost

If n stands for the number of people and C stands for the cost in ,

5

`

125

which equation represents the information in the chart?

8

`

140

(A)

C = 5n + 100

(B) C = n + 45

12

`

160

(C)

C = 5n + 40

(D) C = 2n + 35

20

`

200

10. Which is the top view of the prism?

(A)

(B)

(C)

(D)

11. The given question consists of four figures 1, 2, 3 and 4 called the Problem Set. There is a definite relationship between figures 1 and 2. Establish a similar relationship between figures 3 and 4 by selecting a suitable figure from the options that would replace the question mark (?) in fig. (4). Problem Set

? 1

(A)

2

3

(B)

4

(C)

(D)

12. Which number would replace the question mark in the series ? 7, 12, 19, ?, 39 (A)

39

(B) 28

(C) 26

(D) 24

13. Anusha remembers that her brother Kabir's birthday falls after 20 th May but before 28 th May, while Pia remembers that Kabir's birthday falls before 22 nd May but after 12 th May. On what date Kabir's birthday falls ? (A)

20th May

(B) 21st May

(C) 22nd May

(D) 12th May

14. The mirror-image of the figure(X), when mirror is placed along PQ from amongst the four alternatives is___ P

Q ´

Fig. (X)

(A)

´

(B)

(C)

´

(D)

´

15. How many triangles are there in the given figure ? (A)

8

(B) 10

(C)

11

(D) 12 3



4th IMO - 2010

16. A is father of C and D is son of B. E is brother of A. If C is sister of D, how is B related to E ? (A) Daughter

(B) Brother

(C) Husband

(D) Sister-in-law

17. If '–' means ' ', ' ' means '+', '+' means ' ' and ' ' means '–', then 40 (A) 7.95

(B) 16

12 + 3 – 6

(C) 44

60 = ?

(D) 4

18. Which letter will be the fifth from the right if the first and second, the third and fourth and so on are interchanged among each other in the word " COMPANIONATE"? (A) A

(B) I

(C) N

(D) O

19. Which one of the following sets is best represented in the adjoining diagram? (A) Animals, Insects, Cockroaches

(B) Country, States, Districts

(C) Animals, Males, Females

(D) States, Districts, Union territories

20. Find the missing character from among the given options. (A) 22

(B) 30

(C) 32

(D) 42

5

12

6

6

21

4

7

4

?

5

8

10

SECTION II : MATHEMATICAL REASONING 21. Supriya is standing in the Sun close to a lamp post. Supriya is 5 feet tall and her shadow is 2 feet long. The shadow of the lamp post is

t s o p p m a l

8 feet long. How tall is the lamp post ? (A) 20 ft

?

(B) 18 ft 5 ft

(C) 16 ft

8 ft

(D) 14 ft

2 ft

22. What is the value of 3( x 2 – 4 x ) when x = 5? (A) 5

(B) 15

23. The value of

(C) 30

(D) 55

(C) 107

(D) 109

1 1 1 + + is ____ -2 /3 -3 / 4 (216) (256) (32)-1/5

(A) 102

(B) 105

24. What is the value of x in the given equation? (3 x +1) (2 x - 3) ( x + 3) (3 x - 1) + = + 16 7 8 14 (A) 2

(B) 4

25. Last year Mr. Nitin earned

(C) 3

(D) 5

5,800 from the corn he grew on his farm. This year he expects a 7%

increase in the income from corn. How much does he expect to earn from corn this year? (A)

`

406

(B)

`

6,206

(C)

`

8,600

(D)

`

9,600

26. The radius of the large circle is equal to the diameter of the small circle. If the area of the small circle is 13 m 2, what is the area of the shaded region? (A) 55 m2


(B) 48 m2

(C) 39 m2

4


(D) 26 m2

4th IMO - 2010

27. If DRTW (A)

12°

(B)

72°

(C)

80°

(D)

90° 120 m 2 n -3

28. Write (A)

@ DABC , what

60 m 5 n -2

B

A

T

72°

18°

C

R

W

in simplest form using only positive exponents. Assume that m

2n m

is the measure of T in the given figure ?

3

(B)

2

(C)

3

m n

2m3

(D)

n

0 and n

0.

1 3 2m n

29. A 2 cm long grasshopper can jump 160 cm. If a 6 metre tall animal had the same height and jump ratio, how far could he jump? (A)

48 m

(B) 480 m

(C) 180 m

(D) 8000 m y

30. John made the given grid to show the location of some things in

9 8 7 Swing set 6 5 4 Tree Birdbath 3 2 Flowers 1 0 1 2 3 4 5 6 7 8 9

his garden. Which ordered pair best represents the point on the grid labelled "Tree" ? (A)

(2, 6)

(B)

(3, 1)

(C)

(1, 3)

(D)

None of these

31. Students at a local college were asked how many hours they slept last night. The adjoining chart shows the data. A bar graph of this data will be made on a grid that is 20 units. What scale would be most appropriate for the axis labelled "Number of Students" ? (A)

1 unit = 1 student

(B) 1 unit = 2 students

Hours of Sleep

Number of Students

6 7 8 9 More than 10

14 26 28 15 6

(C) 1 unit = 10 students

32. ABCD is a parallelogram. The angle bisectors of A and

x

(D) 1 unit = 28 students

D meet at O . The measure of AOD

is ____. (A)

45°

(B) 90°

(C)

Depends on the angles A and D

(D) Not able to determine from given data

33. Which of the following numbers does NOT have a multiplicative inverse? (A)

-

1 3

(B) 0

(C) 1

(D) 3

34. The radius of the cylin der whose lateral surface area is 704 cm 2 and height 8 cm, is ____. (A)

6 cm

(B) 4 cm

(C) 8 cm

(D) 14 cm

35. Which expression is equivalent to 5[4 + 3( x – 6)] ? (A)

15 x – 10

(B) 15 x – 70

(C) 15 x – 14 5


(D) 15 x – 110 4th IMO | Level-I | Class 8

4th IMO - 2010

36. Between which two consecutive whole numbers (A) 29 and 30

(B) 30 and 31

1,000 lies? (C) 31 and 32

(D) 32 and 33

37. Which two quadrilaterals have exactly one line of symmetry ? (A) (1) and (5)

(B) (2) and (3)

(C) (1) and (4)

(D) (2) and (5)

(1)

(2)

(3)

(4)

(5)

38. Which of the following expressions represents the distance around the triangle ?

40 – x

(A) 5 x + 39

(B) 4 x – 37

(C) 4 x + 39

(D) 6 x + 47

2 x + 3 3 x – 4

39. What are the lengths of the sides of a triangle that has a perimeter of 24 centimetres ? (A) 6 cm, 6 cm, 12 cm

(B) 7 cm, 7 cm, 10 cm

(C) 3 cm, 8 cm, 13 cm

(D) 4 cm, 5 cm, 15 cm

40. Manish saw the given figure while he was reading a book on astronomy.

Sun

How is the distance from Venus to the Sun written in scientific notation ? (A) 67.23 × 106 miles 67,230,000 miles

(B) 0.6723 × 108 miles (C) 6.723 × 104 miles

Venus

(D) 6.723 × 107 miles

SECTION III : EVERYDAY MATHEMATICS 41. The Wright brothers had their first successful flight near Kitty Hawk, North Carolina. Mr. Satish finds it easy to remember the year in which the fli ght occurred because the number

3,621,502 , the square

root of his telephone number is nearest to a whole number. In which year did the flight occur? (A) 1902

(B) 1903

(C) 1904

42. Dhruv plans on leaving his home in Delhi at 8:00 A.M. He will drive

(D) 1905 Delhi

at an average speed of 40 km per hour and plans to arrive at his destination just before 11:00 A.M. If he makes no stops along the way, which of the four places is his destination? (A)

w

(B) x

(C)

y

(D) z

43. Jasmine is a much better tennis player than Reshma. They decide to have a contest. Every time Jasmine wins a game, she will earn 3 points and every time Reshma wins a game, she will earn 5 points. If they play 48 games and the final score is tied, how many games did Jasmine win ? (A) 50

(B) 40

(C) 30

(D) 18

44. Sushmita used 200 square tiles to tile her kitchen floor. Of these, 66 tiles were green. What percent of the tiles were green ? (A) 134% 4th IMO | Level-I | Class 8

(B) 66%

(C) 33% 6


(D) 3.03%

4th IMO - 2010

45. Nalini and three of her friends worked together to make a quilt. The given table

Girl

Parts Sewn 3 Nalini 8 1 Kamini 5 2 Shalini 5 1 Reena 40

lists the fractional part of the quilt that each of the girls made. Which list shows the girls in order from the one who sewed the most to the one who sewed the least ? (A)

Reena, Nalini, Shalini, Kamini

(B)

Shalini, Nalini, Kamini, Reena

(C)

Reena, Kamini, Nalini, Shalini

(D)

Kamini, Shalini, Nalini, Reena

46. Two flower beds in a park are similar rectangles of same width. The longest side of the large flower

bed is 24 cm long, and the longest side of the small flower bed is 8 cm. If L is the area of the large flower bed and S is the area of the small flower bed, which equation is true? (A)

S = L – 16

(C) S

(B) S = L + 16

=

1 L 9

(D)

S

=

1 L 3

47. A machine takes 12 minutes to fill 200 bottles of soda. At this rate, how many minutes will it take the machine to fill 500 bottles of soda? (A)

25 minutes

(B) 28 minutes

48. Jiah is building birdhouses. It takes her 3

(C) 30 minutes 1 2

(D) 40 minutes

hours to build 4 birdhouses. Which of the following is

an equivalent rate ? (A)

14 hours to build 18 birdhouses

(B) 28 hours to build 35 birdhouses

(C)

7 hours to build 8 birdhouses

(D) 21 hours to build 28 birdhouses

49. Madhuri is on the fourth floor of a building. Her car is in the parking garage three levels below the ground floor. She gets in the elevator and travels from the fourth floor above ground level to the third floor below ground level. How many floors did she travel ? (A)

3

(B) 1

(C) 4

(D) 7

50. Mrs. Ravina needs to take a taxi to the doctor's clinic. The taxi ride costs and (A)

13.00 for the first km

6 for each km thereafter. How much does Mrs. Ravina pay for a 2.3 km taxi ride? `

25

(B)

`

28

(C)

`

32

(D)

`

30

SPACE FOR ROUGH WORK

7



Class 8

5th

Year 2011


2

5th IMO - 2011


Choose a number from the options that will contin ue the same pattern and replace the questio n mark in the given series. (A) 201

2.

6, 13, 25, 51, 101, ___ ? (C) 203

(B) 202

(D) 205

In a row of boys facing North , A is sixteenth from the left end and C is sixteenth from the right end. B , who is fourth to the right of A , is fth to the left of C in the row. How many boys are there in the row? (A) 39

3.

(B) 40

(C) 41

(D) 42 P

Choose the corr ect mirr or-image of Fig. (X) from amongst the opti ons if the mirr or is placed along PQ. (A)

4.

(B)

(C)

Fig. (X) Q

(D)

The given equation becomes correct due to the interch ange of two signs. One of the four opti ons under it species the interchange of signs in the equation which when made will make the equation correct. Find the correct option. 5 + 6 (A)

5.

÷

and

×

+

and

×

3 – 12 × 2 = 17 (C) + and ÷

(D) + and –

Choose one word which can be form ed from the letters of the given word.

(A) MEDICINE 6.

(B)

÷

RECOMMENDATION (B) MEDIATE (C) REMINDER

(D) COMMUNICATE

Figures (i), (ii), (iii) and (iv) constitute the Problem Set. There is a denite relationship between gures (i) and (ii). Establish a similar relationship between gures (iii) and (iv) by selecting a suitable gure from the options that would replace the question mark (?) in g. (iv). (A)

Problem Set

(B)

? (C)

(D)

(i)

(ii) (iii)

(iv)



3

5th IMO - 2011

5th IMO - 2011

3 7.

Choose the Venn diagram which best illus trates the three given classes " Dogs, Animals, Pets" . (A)

8.

(B)

(C)

(D)

A matrix of certain characters is given. These characters follo w a certain

2

2

256

trend, row-wise or column-wise. Find out this trend and choose the missing

3

2

?

character from the given options.

4

2

46656

(A) 2765

(B) 3125

(C) 8796

9.

Count the number of triangles in the given gure. (A) 20 (B) 22 (C) 23 (D) None of these

(D) 30008

10. Select a gure from amongst the options which would complete the pattern of Fig. (X). (A)

(B)

(C)

(D)

11. Choose that set of numbers from the options that is simil ar to the given set. (A) (56, 52, 44)

(81, 77, 69) (B) (46, 61, 53) (C) (75, 71, 60)

(D) (92, 88, 79)

12. A man is facing nor th-west. He turn s 90° in the cloc kwis e direction and then 135° in the anticlockwise direction. Which direction is he facing now? (A) East (B) West (C) North

(D) South

13. Select from amongs t the options as to how th e pattern would appear when the transparent sheet is folded along the dotted line. (A)

(B)

(C)

(D)



4

5th IMO - 2011

4

5th IMO - 2011

14. Choose the odd numeral pair/gro up. (A) 5 : 50 (B) 8 : 128

(C) 11 : 242

(D) 15 : 370

15. If ZIP = 30 and ZAP = 38, then ho w wi ll y ou co de VIP? (A) 174 (B) 43 (C) 34

(D) 113

16. How many 5's are there in the foll owing nu mber sequence which are immediately preceded by 7 and immediately followed by 6? 7 5 5 9 4 5 7 6 4 5 9 8 7 5 6 7 6 4 3 2 5 6 7 8 (A) One

(B) Two

(C) Three

(D) Four

17. There are seven gures, the rst and last of which are un-numbered and the remaining are numbered as 1, 2, 3, 4 and 5. These seven gures form a series. However, one of the ve numbered gures does not t into the series. Find that gure from the options given below.

1

(A) 5

(B) 2

2

3

4

5

(C) 3

(D) 4

18. Select a gure from amongst the options which will continue the same series as established by the ve Problem Figures. (A)

S T

(B)

T

C

C

(C)

S T

C

(D) C

Problem Figures

S T

C

S

T

S

C

S T

S

?

C

C

19. Group the given gures into three classes using each gure only once. (A) 1, 3, 6; 2, 4, 9; 5, 7, 8 (B) 1, 5, 7; 2, 8, 9; 3, 4, 6 (C) 1, 3, 9; 2, 5, 6; 4, 7, 8 (D) 1, 3, 9; 2, 4, 7; 5, 6, 8 SPACE FOR ROUGH WORK


5

5th IMO - 2011

5th IMO - 2011

5

20. Arr ange the given words in a meaningful sequence and then choose the most approp riate sequence from amongst the options provided below. 1.

Police

(A) 1, 2, 3, 4, 5

2.

Punishment

3.

(B) 3, 1, 5, 4, 2

SECTION II :

Crime

4. Just ice

(C) 3, 1, 4, 5, 2

5.

Judgement

(D) 5, 4, 3, 2, 1

MATHEMATICAL REASONING

21. The sum of two nu mbers is 12 and their product i s 35. What is the sum of the recipr ocals of these numbers? (A)

12 35

1

(B)

(C)

35

7

35

(D)

8

32

22. The ages of Mira, Tina and Sania are in th e ratio 6 : 4 : 7 respectively. If the sum of their ages is 34 years, what is Sania's age? (A) 12 years

(B) 10 years

(C) 18 years

(D) 14 years

23. Mehul pl ants 15376 apple trees in hi s garden and arranges them so that there are as many row s as there are apple trees in each row. The number of rows is _____. (A) 124

(B) 126

(C) 134

(D) 144

DIRECTION (Q. 24-25): Study the following table carefully to answer the following questions. Marks Obtained by Five Students in Three Subjects out of 100 Student

Subjects Math

Science

English

Mohit

94

83

74

Sameer

72

88

68

Rachna

86

75

66

Purab

90

61

82

Mansi

68

67

71

24. What are the average marks obt ained by all the students i n Math ? (A) 137 (B) 82 (C) 75

(D) 98

25. What is the respectiv e ratio of marks ob tained by Mansi in Science and English together to the marks obtained by Rachna in the same subjects? (A) 17 : 18

(B) 11 : 13

(C) 46 : 47

(D) 21 : 23



6

5th IMO - 2011

6

5th IMO - 2011

26. Find the value of (A) 0.02

3

0.000064 . (B) 0.2

(C) 2

(D) None of these

27. Which of the following numbers is exactly divisi ble by 99? (A) 114345

(B) 135792

(C) 3572404

(D) 913464

28. The differ ence between the place value and the face value of 6 in th e numeral 856973 is _____. (A) 973

(B) 6973

29. The value of (A) 3.3

 8.6 × 5.3 + 8 .6 × 4.7  is   4.3 × 9.7 − 4.3 × 8.7 

(C) 5994

(D) None of these

(C) 13.9

(D) 20

_____.

(B) 6.847

30. Shreya bought an articl e and sold i t for 125% per cent of its c ost pr ice. What was the cost p ric e of the article, if Shreya sold it for (A)

` 24,600

(B)

` 30,750?

` 25,640

(C)

` 24,250

(D)

` 23,200

31. What would be the cost of laying carpet on a oor which has length and breadth in the respective ratio of 32 : 21 and perimeter 212 feet, if the cost per square foot of laying carpet is (A) 32. If 2

` 6,720 n

– 1

+ 2

(A) 6

n

(B) + 1

` 5,420

(C)

` 7,390

`

2.5?

(D) None of these

= 320, then n is equal to _____. (B) 8

(C) 5

33. A sum of money invested at compound interest amounts to

(D) 7 `

800 in 3 years and to

`

840 in

4 years. The rate of interest per annum is _____. (A)

2

1 2

%

(B) 4%

(C) 5%

(D)

6

2 3

%

34. In a simultaneous throw of two dice, what is the probability of getting a total of 7? (A)

1 6

(B)

1 4

(C)

2 3

(D)

3 4

35. If 35% of a num ber is 12 less than 50% of th at numb er, then th e number is _____. (A) 40

(B) 50

(C) 60

(D) 80



7

5th IMO - 2011

5th IMO - 2011

7

36. Smallest angle of a triangl e is equal to two-thi rd the smallest angle of a quadrilateral. The ratio of the angles of the quadrilateral is 3 : 4 : 5 : 6. Largest angle of the triangle is twice its smallest angle. What is the sum of second largest angle of the triangle and largest angle of the quadrilateral? (A) 160°

(B) 180°

37. Soha purc hased an item for

`

(C) 190°

(D) 170°

9,600 and sold it for loss of 5 per cent. From that money she

purchased another item and sold it for gain of 5 per cent. What is her overall gain/loss? (A) Loss of 38. If

x

x

3/2

`

36

= ( x 3/2 )

x

(B)

(C) Loss of ` 24

16

9

(B)

2

(D) None of these

, then the value of x is _____.

3

(A)

Prot of ` 24

(C)

4

8

(D)

25

27

39. What number will com e in place of question mark? ( 8 × 8 )1/ 2 (A) 7

(B) 19

+ (9)1/ 2 = (?)3 +

8 − 340

(C) 18

(D) 9

40. Which of the foll owing s tatements is INCORRECT? (A) All rhombuses are parallelograms. (B) All squares are not parallelograms. (C) All rectangles are not squares.

(D) All squares are trapeziums.

SECTION III : EVERYDAY MATHEMATICS 41. The total area of a circl e and a rectangle is equal to 1166 sq. cm. The diameter of t he circl e is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm? (A) 186 cm (B) 182 cm (C) 184 cm (D) 132 cm 42.

 3  th   4 

of a number is 20 more than half of the same number. The required number is _____.

(A) 50

(B) 180

(C) 90

(D) 80

43. A merchant has 140 litr es, 260 lit res and 320 litr es of three kinds of oil. He wants to s ell the oil by lling the three kinds of oil separately in tins of equal volumes. The volume of such a tin is _____. (A) 20 litres

(B) 13 litres

(C) 16 litres

(D) 70 litres



8

5th IMO - 2011

8

5th IMO - 2011

44. The ratio of ages of Kunal and Deepesh is 3 : 5. After 10 years t his r atio becomes 5 : 7. What is the present age of Deepesh? (A) 20 years

(B) 25 years

(C) 50 years

(D) 15 years

45. Out of a number of electroni c items, Rohit pu rchases 60% coloured T.Vs. 5% of these are found to be defective. The percentage of defective T.Vs in all is _____. (A) 3% (B) 6% (C) 12%

(D) Can't be determined

46. The diff erence between compound interest and sim ple interest for 3 years @ 20% p.a. is What is the principal lent in each case? (A) ` 1200 (B) ` 1155

(C)

`

1187.50

` 152.

(D) None of these

47. A can do a piece of work in 10 days, B can do it in 15 days. If they both work together they can nish the work in _____. (A) 9 days (B) 8 days

(C) 10 days

(D) 6 days

48. A path of uniform width runs all around the inside of a rectangular eld 116 metres by 68 metres and occupies 720 square metres. Find the width of the path. (A) 1 metre (B) 1.5 metres (C) 2 metres

(D) 4 metres

49. Mohan gets 3 marks f or each cor rect answer and loses 2 marks for each wrong answ er. He attempts 30 problems and obtains 40 marks. The number of problems solved correctly is _____. (A) 10 (B) 15 (C) 20 (D) 25 50. Harry go es to a shop to buy a watch costi ng

`

1404 including sales tax of 8%. He asks the

shopkeeper to reduce the price of the watch so that he can save an amount equal to the sales tax. The reduction in the price of the watch is _____. (A) ` 108 (B) ` 104 (C)

` 112.32



(D) None of these

Class 8 6th

SET A Year 2012


2

6th IMO - SET A SECTION I : LOGICAL REASONING

1.

Latika delivers bottled water to stores in Delhi. She delivers to MTG's Bookstore every 6 th day and to Sammy's Bookstore every 9th day. On Thursday the 4 th , she will deliver water to both of these stor es. How many days after that wil l she deliver to both sto res on

2.

the same day again? (A) 17

(B) 18

(C) 19

(D) 16

Find out the correct letter pair from the opti ons, to denote the same relationshi p among the group of letters as established between the sets given below. (A) AC : RU

3.

4.

RT : WZ :: _______ : _______ (B) AB : PW (C) PR : LM

If 'FRIIHH' st ands for 'COFFEE', how will you write 'NOODLES'? (A) RSSHPIW (B) PQQFNGU (C) QRRGOHV

(D) TU : WX

(D) RSSHPIV

Terrorist s who are not hard-core criminals are represented by ______. (A) 2 (B) 3 (C) 4 (D) 1

5.

A tourist driv es 10 km towards east and turns to the right hand and driv es 3 km. Then he driv es towards west (turning to his right) 3 km. He then turns to his left and drives 2 km. Finally he turns to his right and travels 7 km. How far is he from his starting point and in which direction would he be? (A) 10 km, East

6.

(B) 5 km, South

(C) 8 km, West

(D) 5 km, West

The relatshp  the rst set (1 & 2) f Prblem Fgures s ge. Based  the same relatshp, d the sutable gure frm aswer gures t t  the blak space f secd set (3 & 4).

(A)

7.

(B)

(C)

(D)

Fd the dd e amgst the set f gures f a seres.

(A) Q

(B) R

(C) T

(D) U


6th IMO - SET A

3

3

6th IMO - SET A 8.

9.

Fd a gure frm the pts  whch Fg. (X) s embedded as ts part. (A)

(B)

(C)

(D)

Select the gure frm the pts whch cmpletes the Fg.(X) (A)

(B)

(C)

(D)

10. Select the gure frm the pts whch shuld cmplete the seres frmed by Prblem Fgures 1, 2, 3 and 4.

(A)

(B)

(C)

(D)

11. The Sharmas have thr ee chi ldren Sunit a, Sanjay and Sheela. Sunit a is married to Sonil Mahajan and they have a son Shoban. Sheela marries Sanjay Bhandari and Vinit and Lily are their children. Sanjay (Sunita's brother) is younger to Sunita but elder to Sheela. What is the surname of Shoban ? (A) Bhandari (B) Sharma (C) Mahajan (D) None of these 12. Study the follow ing letter-number arrangement and answer the question gi ven below. B 8 4 C R M 9 P D K W F A 2 E J 7 X U Q H L T Y 6 G S If every alternate letter/number is dropped in the above arrangement beginning with droppi ng '4' as rst umber t be drpped, whch f the fllwg wll be thrd t the rght f the fth letter/ number from left end? (A) W

(B) 2

(C) 7

(D) A

13. Fd the mssg umber  Fg.(X). (A) 56 (B) 58 (C) 60 (D) 62 14. If '>' denotes '+', '<' denotes '–', '+' denotes ' ÷', '^' denotes '×', '–' denotes '=', '×' denotes '>', and '=' denotes '<', then which of the following options is correct? (A) 13 > 7 < 6 + 2 = 3 ^ 4 (B) 28 + 4 ^ 2 = 6 ^ 4 + 2 (C) 9 > 5 > 4 – 18 + 9 > 16 (D) 9 < 3 < 2 > 1 × 8 ^ 2


4

6th IMO - SET A

4

6th IMO - SET A

15. The uderled letters dcate the ed f the rst wrd ad begg f secd wrd. Chse the correct option. (A) PERT

(B) TANT

E X (___) A C L E (C) TENT

(D) ENCE

16. Whch f the fllwg pts shws the mrrr mage f Fg.(X), f mrrr s placed ertcally left. (A)

(B)

(C)

(D)

17. Grup the ge gures t three apprprate classes usg each gure ly ce.

(A) 4, 7, 9; 2, 5, 8; 1, 3, 6 (C) 1, 4, 6; 2, 3, 7; 5, 8, 9

(B) 1, 3, 8; 2, 4, 6; 5, 7, 9 (D) 3, 5, 4; 1, 6, 9; 2, 7, 8

18. Find the odd one out in the followin g anagrams. (A) P E N O H (B) D R O I A

(C) T S P O

(D) G N D R E A

19. How many such 3's are there in the follow ing num ber sequence whic h are immediately preceded by an odd number and immediately followed by an even number?

(A) One

5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6 (B) Two (C) Three

(D) Four

20. There are e pes 1, 2, 3, 4 ad 5 f dfferet clurs, z. Blue, Black, Mar, Gree ad Red. Pe umber 3 s f Black clur ad Pe umber 5 s f Gree clur. Whch f the fllwg pe is of Red colour? (A) Number 1 (B) Number 2 (C) Number 3 (D) Data inadequate

SECTION II : MATHEMATICAL REASONING 21. The adjg gure shws 3 dfferet ews f a three-dmesal gure cstructed frm cubes. Which could be the correct option ? Top

(A)

(B)

(C)

Front

Side

(D)


6th IMO - SET A

5

5

6th IMO - SET A 22. A spinner consis ts of six equal regions as shown. If Mohit sp ins the spinner once, what is the probability that the arrow will land on a region numbered less than or equal to 2 ? (A) (C)

1

(B)

2 1

(D)

6

23. Which of the following expressions is t rue ? (A)

0.09

>

7 8

(B)

6%

< 0.09

(C)

1 3 2 3

7 8

< 8.0 × 10 −3

(D)

8.0 × 10

−3

> 6%

24. Which of the follow ing describ es a square root of 41 ? (A) Between 5 and 6 (B) Between 6 and 7 (C) Between 20 and 21 (D) Between 40 and 42 25. If 3x –1 + 3x +1 = 90, then x is equal to ______. (A) 1 (B) 3

(C) 2

(D) 0

26. Hw may cars were sld  the rst quarter of the year ?

(A) 60

(B) 90

(C) 50

(D) 100 27. A merchant marks his goods at ` 300 and allows a discount of 25 %. If he still gains 12.5 %, then the cost price of article is _____. (A) ` 220 (B) ` 200 (C) ` 240 (D) ` 260 28. Consider the foll owing statements. If a money is loaned at simpl e interest then the : 2

(i)

money gets doubl ed in 5 years if the rate of interest is 16

(ii)

money gets doubl ed in 5 years if the rate of interest is 20 %.

3

%.

(iii) m oney becomes four times in 10 years if it gets doubl ed in 5 years. Of these statements : (A) (i) and (ii) are correct (C) (ii) alone is correct

(B) (iii) alone is correct (D) None of these

29. Evalu ate (326541829) 2 – 326541833 × 326541825. (A) 4

(B) 326541819

(C) 32651838

(D) 16


6

6th IMO - SET A

6

6th IMO - SET A

30. The gure shows a triangle on a coordinate plane. Which of the following shows the triangle translated 3 units to the right and 1 unit down?

(A)

(B)

(C)

(D)

31. Find the measure of largest angle of a quadrilateral if the measures of i ts in terior angles are in

the ratio of 3 : 4 : 5 : 6. (A) 60° (B) 120°

32. Solve for x : (A)

x

5 x − 1  − 2 x − = 3  

3

−1

x

3

+


(C) – 20

(D)

1 2

(B) –31

2

(C) 90°

−

1 2

33. How many numbers are there between 200 and 800 whic h are divi sibl e by both 5 and 7 ? (A) 35

(B) 16

(C) 17


34. Fd the area f the ge gure. (A) 128 m2 (B) 228 m2 (C) 328 m2 (D) 628 m2 35. In the given diagram, equil ateral triangle EDC surmounts square ABCD. Find ∠ BED

represented by x, where EBC =

a°.

(A) 45° (B) 60° (C) 30° (D) None of these


6th IMO - SET A

7

7

6th IMO - SET A

DIRECTION (36 & 37) : The Pe graph depcts the budget of a family 'X '. The total monthly income of the family is ` 3080.

36. How many degrees should be there in the central angle of the sector for miscellaneous expenses? (A) 60 degrees

(B) 55 degrees

(C) 46 degrees

(D) 36 degrees

37. How much total expenses are incurred on food, clothi ng and conveyance every month ? (A)

`

1794

(B)

`

(C)

1684

`

(D)

1664

`

1694

38. The largest four-dig it num ber which i s a perfect cu be, is ______. (A) 8000 (B) 9261 (C) 9999

(D) None of these

39. If x : y = 5 : 2, then (8 x + 9y ) : (8x + 2y ) is ______. (A) 22 : 29 (B) 26 : 61 (C) 29 : 22

(D) 61 : 26

40. Clsure prperty fr ratal umbers s satsed  case f _______. (A) Addition (B) Subtraction (C) Multiplication

(D) All of these

SECTion iii : EvERYDAY MATHEMATiCS 41. For a journey the cost of a child tic ket is 1/3 rd of the cost of an adult ticket. If the cost of the tickets for 4 adults and 5 children is (A)

`

5

(B)

`

`

85, the cost of a child ticket is ______.

6

(C)

`

(D)

10

`

15

42. The ratio o f present ages of Rahul and Deepesh i s 3 : 5. 10 years later this ratio becomes 5 : 7. What is the present age of Deepesh ? (A) 20 years (B) 50 years

(C) 25 years

(D) 40 years

43. A pers wats t reduce the trade tax s he calculates hs prt  the sale prce stead f  the cost price. In this way by selling an article for

`

280 he calculates hs prt as 14

s the actual prt percetage? (A) 20 %

(B) 16.66 %

(C) 25 %

2 7

%. What

(D) None of these

44. A rectangular tank 25 cm lon g and 20 cm wi de contains w ater to a depth of 5 cm. A metal cube of side 10 cm is placed in the tank so that one face of the cube rests on the bottom of the tank. Find how many litres of water must be poured into the tank so as to just cover the cube ? (A) 1 L (B) 1.5 L (C) 2 L (D) 2.5 L 45. i the mrg batch at 'a schl' we hae bsered that whe e studets tk seat  each bench, 4 students remained unseated. But when eleven students took seat per bench, 4 benches remained vacant. The number of students in the morning batch were? (A) 55 (B) 48 (C) 26 46. On the Apr il 1, 2012 Megha's salary inc reased from

` 10,000

to

`

(D) 44

16,000. Simultaneously the rate

of income tax decreased by 37.5%. So the amount of income tax paid by Megha remains constant, what is the amount of income tax paid by her? (A) ` 3000 (B) ` 6000

(C)

`

1600



8

6th IMO - SET A

8

6th IMO - SET A

47. Mr. Gupta drives at a speed of 60 km/hr for 6 hours f rom Chandigarh t o Delhi. Mr. Verma drives his car at an average speed of 45 km/hr for the same journey. How much time does Mr. Verma take to complete the journey? (A) 7 hrs (B) 8 hrs

(C) 9 hrs

(D) 11 hrs

48. The volum e of a cyl inder is 48.125 cm 3, which is formed by rolling a rectangular paper sheet along the length of the paper. If a cuboidal box (without any lid i.e., open at the top) is made from the same sheet of paper by cutting out the square of side 0.5 cm from each of the four corners of the paper sheet, then what is the volume of this box ? (A) 20 cm3 (B) 38 cm3 (C) 19 cm3 49. Mrs. Prya ears 18000 per mth. She speds things. The amount she saves is _____. (A) ` 7120 (B) ` 5250

7 12

(D) 28 cm3 1

on household items and

(C)

`

5520

(D)

8 `

on rest of the

6562.5

50. Nita walks from her house 160 metres nort h and from t here 630 metres west to vi sit h er friend. While coming back, she walked diagonally fro m her friend's hou se, back to her home. What dis tance did she walk while returning ? (A) 730 m (B) 800 m

(C) 1250 m SPACE FoR RoUGH WoRK


(D) 650 m

Class 8 6th

SET B Year 2012


2

6th IMO - SET B


Which one of the follow ing Venn diagrams correctly ill ustrates the relationship among the classes : Diseases, Leprosy, Scurvy? (A)

2.

(C)

(D)

If '×' means '+', ' ÷' means '–', '–' means '×' and '+' means ' ÷', then 14 × 3 (A)

3.

(B)

14

3

(B) 2

9

(C)

16

8

– 3 + 121 = ____.

(D) 5

11

In a certain code, '256' means 'you are good'; '637' means 'we are bad' and '358' means 'good and bad'. Which of the following numbers represents 'you' in that code ? (A) 2 (B) 5 (C) 8

4.

÷ 11

(D) 3

Select a gure from amongst the options which will continue the same series as established by

the four Problem Figures. Problem Figures ? P

R

S

(C)

(B)

(A)

5.

Q

(D)

Count the number of triangles in the given gure. (A) 12 (B) 14 (C) 16 (D) None of these

6.

Which of the following option gures will complete the gure (X)?

? Fig.( X )

(A) 7.

(B)

(C)

(D)

Choose the options which most closely resembles the mirror-image of the given combination if the mirror is placed vertically to the right. (A)

8.

QUANTITIES

QUANTITIES (B) SETITNAUQ (C)

N S E Q U A TI TI

Select the related number from the given opti ons. 5 : 100, 4 : 64 :: 4 : 80, 3 : ? (A) 26 (B) 48 (C) 60

(D)

(D) 54


6th IMO - SET B

3

3

6th IMO - SET B 9.

If the foll owing wor ds are arranged in the alphabetical order, whic h word will appear at the end? (A) Olympic

(B) Olympia

(C) Oval

(D) Ovulet

10. From his h ouse, Vishal went 15 km to t he North. Then he turned West and covered 10 km. Then, he turned South and covered 5 km. Finally, turning to East, he covered 10 km. How far and in which direction is he from his house ? (A) 10 km East

(B) 10 km West

(C) 10 km North

(D) 10 km South

11. In a march past, seven persons are standing i n a row. R is standing left to Q but right to P. O is standing right to N and left to P. Similarly, S is standing right to Q and left to T. Find out the person standing in the middle. (A)

(B)

P

Q

(C)

R

(D)

O

12. Select a gure from the given options in which Figure (X) is embedded as its part.

(A)

(B)

(C)

(D)

13. Two dif ferent posit ions of a dice has been shown below. If 4 dots are at the top what numb er will be just below it?

(A) 1

(B) 3

(C) 4

(D) 5

14. Ajit is f atter than Ranjit wh o is thinner than Bhushan. Mohan is thinner than Ajit but fatter than Bhushan. Two other men are fatter than Ajit. Who is the thinnest?

(A) Ajit

(B) Ranjit

(C) Bhushan

(D) Mohan

15. Five students partic ipated in an examination and each scored diff erent marks . Nidhi sc ored higher than Mamta. Kavita scored lower than Prashant but higher than Nidhi. Anil's score was between Mamta and Nidhi. Which of the following pairs represents the highest and the lowest scorers respectively? (A) Nidhi, Kavita

(B) Kavita, Mamta

(C) Anil, Kavita

(D) Prashant, Mamta

16. Mohit is t he brother of B eena. Beena is the wife of Raj. Raj is the brot her of Megha. What is the relation of Megha to Mohit? (A) Sister

(B) Sister-in-law

(C) Mother-in-law

(D) No specic relation

17. How many cons onants are there in the below sequence which are immediately pr eceded by a symbol and immediately followed by a digit? E G 4 B H 7 5 @ K 8 D N £ Q Z $ W 3 C 1 9 * L B 2 S 6 (A) One

(B) Two

(C) Three

(D) None


4

6th IMO - SET B

4

6th IMO - SET B

18. A pile of cubes of equal size is arranged as shown in the gure.

Now the block is dipped into a bucket full of red paint so that only the surfaces of the block get coloured. How many cubes are without any colour? (A) 20 (B) 14 (C) 30 (D) 18 19. If it is possible to make a meaningful word with the second, third, fth and eighth letters of the word PARAGRAPH which of the following will be second letter of that word? If more than one such word can be made, give X as the answer. If no such word can be made, give M as the answer. (A) X (B) M (C) G (D) P 20. The tri angle, rectangle and circle shown here respectively represent the urban, hard wor king and educated people. Which one of the areas marked I-VII is represented by the urban hard working people who are not educated? I

III II V

VI

(A) II

(B) I

IV

VII

(C) IV

(D) III

SECTION II : MATHEMATICAL REASONING 21. What is the value of the given expressi on ? ( 16 )2 3

(A) 4

(B) 8

+ 64 512 − 3 64 (C) 16

(D) 6

22. Which of the foll owing pic tures appears to have rotatio nal symmetry ?

(A)

(B)

(C)

(D) None of these

23. Ais ha needs to buy 300 sheets of con str uct ion paper. The ofce supply store sells construction paper in the following

aper urc ase Package Number of Sheets Price

packages. Which of the following is the least expensive way

for (A) (B) (C) (D)

Aisha to buy 300 sheets of construction paper ? 6 4 3 2

packages packages packages packages

of of of of

paper W paper X paper Y paper Z

W

50

` 4.50

X

75

` 5.10

Y

100

` 10.75

Z

150

` 12.25


6th IMO - SET B

5

5

6th IMO - SET B 24. Which of the foll owing st atements is INCORRECT for ration al numbers ? (A) The rational number 0 is the additive identity for rational numbers. (B) The rational number 1 is the multiplicative identity for rational numbers. (C) Subtraction is associative for rational numbers. (D) There are innite rational numbers between any two given rational numbers. 25. Solve for x : (A)

1 2

3x + 4 x +1 = 6x + 7 2x + 3

(B)

5

− 4

(C) 1

(D) 3

DIRECTION (26 & 27) : A bar diagram depicting the changes in the students strength of a college in four faculties from 1990-91 to 1992-93 is shown.

26. How many times was the total strength of the strength of Commerce students in 1991-92 ? (A) 3 times (B) 4 times (C) 5 times (D) 6 times 27. How muc h percent was th e inc rease in Sci ence stud ents in 1992-93 over 1990-91 ? (A) 50%

(B) 150%

(C)

66

2 3

%

(D) 75%

28. Find the area of the eld ABC DEFGA in which AL = 30 m, AM = 70 m, AN = 90 m, AO = 110 m, AE = 135 m, AB = 36 m , LG = 40 m, NF = 42 m, MC = 54 m, and OD = 46 m.

(A) 9010 m2

(B) 8000 m2

(C) 8670 m2

(D) 9730 m2

29. The populati on of a country i s 3.2 × 10 6. There are 8 × 10 5 children. Find the number of adults. (A) 3 × 103

(B) 8 × 103

(C) 2.4 × 106

(D) 2.4 × 105


6

6th IMO - SET B

6

6th IMO - SET B

30. In the kit e ABC D, AD = CD = 8 cm, ∠ ADC = 60°,

(A) 50°

(B) 40°

∠ DCB =

130° and AB = CB . Find

(C) 60°

(D) 25°

∠ ABC .

31. A rectangular pictur e is 16 cm long and 10 cm side. It has a 2 cm border around it as shown in the gure. Calculate the area of the border, giving your answer in square millimetres.

(A) 1200 mm2

(B) 120 mm2

(C) 12000 mm2

(D) 120000 mm2

32. The number of edges of the given gure is ______.

(A) 18 (B) 12 (C) 14 (D) 16 33. In a parall elogr am, Statement 1 : Diagonals bisect each other. Statement 2 : Diagonals divi de the parallelogram into two tri angles. (A) Only statement 1 is true. (C) Both statement 1 and 2 are true.

(B) Only statement 2 is true. (D) Both statement 1 and 2 are false.

34. A bag cont ains 4 red, 3 pink and 8 white balls. One ball is drawn at random. Find the probabilit y that the ball drawn is not red. (A)

35. If

1

(B)

5

 x + 1  =  x  

(B) 3 `

` 1180

1 x4

11 15

(D)

3 11

.

(C) 5

(D) 7 1 2

2540 is lent ou t into t wo parts , one at 12 % and another one at 12 % . If the total

annual income is (A)

(C)

11

5 , nd the value of x 4 +

(A) 8 36. A sum of

8

`

311.60, the m oney lent at 12 % is _____. (B)

`

1360

(C)

`

1240

(D)

`

1340

37. The length of longest pole that can be placed on the oor of a room is 10 m and the length of

the longest pole that can be placed in the room is 10 2 m. The height of the room is _____. (A) 6 m

(B) 7.5 m

(C) 8 m

(D) 10 m


6th IMO - SET B

7

7

6th IMO - SET B

 1  th 38. A tree incr eases annually by   of its height. By how much will it increase after 2 years, if it 8  stands today 64 cm high? (A) 72 cm (B) 74 cm

(C) 75 cm

(D) 81 cm

39. What is the smallest numb er by which 3600 be divi ded to make it a perfect cube? (A) 9 (B) 50 (C) 300 (D) 450 40. If x : y = 2 : 3 and 2 : x = 1 : 2, then the value of y is ______. (A) 4

(B) 6

(C)

1

(D)

3

3 2

SECTION III : EVERYDAY MATHEMATICS 41. A boat goes downstr eam and covers the dist ance between two por ts in 4 hours , while it covers the same distance upstream in 5 hours. If the speed of the stream is 2 km/hr, nd the speed of

boat in still water. (A) 16 km/hr

(B) 18 km/hr

(C) 20 km/hr

(D) 15 km/hr

42. Garima wants t o plant 50625 roses and arranges them in suc h a way that there are as many rows as there are roses in a row. The number of roses in a row are _____. (A) 365 (B) 165 (C) 625 43. Latika owns a mobil e wort h

`

(D) 225

10000. She sells it to Priya at a prot of 10% based on the worth

of the mobile. Priya sells the mobile back to Latika at a loss of 10%. In this transaction Latika gets ______. (A) No prot no loss

(B) Prot of

`

1000

(C) Prot of

`

1100

(D) Loss of

`

1100

44. A trader list s his art icles 20% above C.P. and allow s a discou nt of 10% on cash payment. His gain percent is ______. (A) 10%

(B) 8%

(C) 6%

(D) 5%

45. The volu me of a wall, 5 times as high as it is br oad and 8 times as long as it is high, is 12.8 m 3. The breadth of the wall is ______. (A) 30 cm (B) 40 cm

(C) 22.5 cm

(D) 25 cm

46. A swimming pool is 25 m long, 15 m broad and 5 m deep. Find the cost of cementing its oor

and the walls at the rate of ` 10 per sq. metre. (A) ` 3840 (B) ` 7750

(C)

` 6960

(D) None of these

47. The value of a machine depreciates every year at the rate of 10% on it s value at the beginning of that year. If the present value of the machine is (A) ` 947.10 (B) ` 800

` 729,

its worth 3 years ago was _____. (C) ` 1000 (D) ` 750.87

48. The pop ulati on of th e wor ld in 2000 was 6.5 × 10 9. It is estimated that by 2070 the population of the world will be 1.03 × 10 10. Find the estimated increase in the population from 2000 to 2070. (A) 4.8 × 108 (B) 3.8 × 109 (C) 10.3 × 109 (D) 3.8 × 108 49. Pratik had

`

425.82 in his acc ount. How muc h does he have in his account after he makes a deposit

of ` 120.75 and a withdrawal of ` 185.90? (A) ` 126.82 (B) ` 538.82

(C)

`

630.76

(D)

`

360.67


8

6th IMO - SET B

8

6th IMO - SET B

50. Three different containers contain different qualities of mixtures of milk and water, whose measurements are 403 kg, 434 kg and 465 kg. What biggest measure must be there to measure all the different quantities exactly? (A) 1 kg (B) 7 kg

(C) 31 kg SPACE FOR ROUGH WORK


(D) 41 kg

Class 8 7th

SET A Year 2013


2

7th IMO - Set A

LOGICAL REASONING

1.

Select a gure from the options which will continue the series established by the four problem gures.

1. 3. 5. A. B. C. D. 5.

A.

B.

6. D.

2.

Pointing to a man in a photograph, a woman says, "He is the only son of the only daughter-in-law of my only son's father." How is the man related to the woman? A. B. C. D.

3.

Son Father Son-in-law Grandson

Which of the following options will complete the pattern in gure (X)?

Figure (X) A.

8.

B.

Dish Market

3 4 2 4

MURP MRUP MRPU MRPT

Raman walks 50 m North. Then he turns right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Then he again turns right and walks 15 m. In which direction and how many metres away is he from his original position? A. B. C. D.

7.

2. 4.

If in a certain code ‘56431’ is written as ‘RSHTU’ and ‘98270’ as ‘MLKPA’, then how will ‘9517’ be written in the same code? A. B. C. D.

C.

Cutting Vegetable Cooking 1, 2, 4, 5, 3, 2, 5, 1, 4, 3, 1, 5, 5, 3, 2, 1,

45 30 30 45

metres metres metres metres

West East West East

Out of the four gures marked (a), (b), (c) and (d) three are similar in a certain manner. However, one gure is not like the other three. Choose the gure which is different from the rest.

A.

a

B.

b

C.

c

D.

d

How many dots lie opposite to the face having three dots, when the given gure is folded to form a cube?

C.

D.

4.

Arrange the given words in a meaningful sequence and then choose the most appropriate sequence.

A.

2

B.

4

C.

5

D.

6


7th IMO - Set A

3

3

7th IMO - Set A

9.

Select a gure from the options, which satises the same conditions of placement of the dot as in gure (X).

12.

Study the following arrangement carefully and answer the question given below: RDAK5BI2MJEN 97UZV1W3H4 FY8P6TG How many such consonants are there in the above arrangement each of which is immediately preceded by a vowel and immediately followed by a number?

Figure (X)

A. B. C. D.

A.

13. B.

None One Two Three

There is a square transparent sheet with a given pattern is given. Figure out from the options as to how the patte rn would appea r when the transpar ent sheet is folded along the dotted line.

C.

A. D. B.

10.

Given question consists of a set of three gures X, Y and Z showing a sequence of folding of a piece of paper. Fig. (Z) shows the manner in which the folded paper has been cut. Choos e a gure fr om t he options which would most closely resemble the unfol ded form of piece of paper.

C.

D.

14.

A.

A.

B.

11.

Which of the follow ing Venn diagrams best illustrates the relationship among the three classes : "Truck, Ship, Goods"?

B.

C.

C.

D.

D.

If '×' means 'is father of ', '+' means 'is sister of ', '–' means 'is brother of ', and ' ÷' means 'is mother of ', then which of the following statements means 'S is grand-daughter of P'? A. B.

C. D.

P × T + R ÷ S P ÷ Q – R ÷ S – T P×R–T×S P ÷ Q – R × S + T

15.

In a certain code language ' in pe ba' means ' he is late' , 'le ba se' means ' she is early' and ' pa ta in' means 'he leaves soon' . Which word in that language means late ? A. B. C.

D.

pe in ba Data is inadequate


4

7th IMO - Set A

4

16.

7th IMO - Set A

Select the pair that has a relationshi p similar to given pair.

A. B. C. D.

A.

B.

19.

100 361 389 400

Select a gure from the options which is the mirrorimage of the Problem Figure.

C.

D. A.

17.

Select a gure from the options in which gure (X) is embedded as one of its part.

B.

C.

D. A.

20. B.

Minimum number of straight lines required to form the given gure is __________.

C.

D.

18.

Which number will replace the question mark in number pattern?

A.

22

B. C.

20 18

D.

24


21.

The given gure shows a cuboid with a total surface area 202 cm 2 . Find the volume of cuboid.

D.

200 cm3

⋅ +1 + 7 ⋅ 3 −1 is 1− + 2 − 2  1  3  3    n

22.

The simplied value of

2 3

n

n

n

A. B. C.

72 cm3 36 cm3 180 cm3

A.

1

B.

3

C. D.

–1 0


7th IMO - Set A

5

5

7th IMO - Set A

23.

The pie chart shows a percentage breakdown of 1000 votes in student elections. How many votes did Sushanth receive?

A. B. C. D. 29.

24.

25.

A. B. C. D.

550 350 330 450

The A. B. C. D.

division of rational numbers is Commutative Associative Neither commutative nor associative Both A and B

A.

A. B.

6 8

B.

C.

14

C.

D.

7

27.

D.

−3

512

31.

?

0.50 0.75 –0.75 –4.25 32.

33. If the area of ABC D is equal to the area of DEHG, then the ratio of area of shaded to unshaded part is ______ .

28.

is _________.

1

4

1

6 1

1

A. B.

2.410 2.529

C.

2.113

D.

2.482

115

.

289

Three numbers are in the ratio 3 : 2 : 1. The sum of their cubes is 246924. Find the largest number. A.

51

B. C. D.

38 61 57

The area of a rectangle is given by 6 x2 y + 4 y2 x and the width of the rectangle is given by 2 xy. Find the perimeter of recta ngle. A. B.

34.

Find the number of coins, 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder with a height of 10 cm and a diameter of 4.5 cm.

1

Find the square root of 6

C. D.

72 : 113 1:5 26 : 113 36 : 113

5

2

, then

Consider the given diagram. (gure not drawn to scale)

A. B. C. D.

3

2

3  1  2 ×  1  + 1 ÷ 3 3 8 4  3  1

3

x

A. B. C. D.

20° 50° 30° 40°

3

If 4 x + 4 x + 4 x + 4 x + 4 x + 4 x + 4 x + 4 x = what is the value of

40°, 70°, 80°, 50°,

The value of

If (a + b) : ( b + c) : (c + a) = 6 : 7 : 8 and a + b + c = 14, then nd the value of c.

1

26.

In the given figur e, A BC D is a rhombus and ∠ BCD = 80°. Find x and y respectively.

A. B. C. D. 30.

450 396 390 410

6 x + 3 x + 8 x + 6 x +

8 y + 4 y + 6 y + 4 y +

2 xy 2 xy 4 xy 4 xy

Difference between smallest 4-digit perfect square and greatest 4-digit perfect square is A. B. C. D.

8777 1012 9801 7777


6

7th IMO - Set A

6

7th IMO - Set A

35. Which solid would be formed by the given net?

A.

Triangular Pyramid

B.

Square Pyramid

C.

Hexagonal Pyramid

D.

Rectangular Pyramid

EVERYDAY MATHEMATICS

36.

A dairyman pays ` 6.40 per litre of milk. He adds water and sells the mixture at ` 8 per litre, thereby making 37.5% prot. The proportion of water to milk received by the customers is A. B. C. D.

37.

39.

40.

10 12 15 20

42.

30 60 72 90

birds birds birds birds

A.

15

B. C.

16 18

D.

25

43.

B.

` 13,000

C.

` 11,000

D.

` 14,000

of

Find her gain percent. A.

20%

B.

10%

C.

30%

D.

40%

Sanket earns twice as much in the month of March as in each of the other months of the year. What part of his entire annu al earnings was earn ed in March? A.

1

7 B.

1

6 2

C.

A man walking at the speed of 4 km/hr crosses a square eld diagonally in 3 minutes. The area of the eld is 18000 19000 20000 25000

Monika purchased a pressure cooker at

 9   10   

its selling price and sold it at 8% more than its S.P.

Adam borrowed some money at the rate of 6% p.a. for the rst two years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond ve years. If he pays a to tal in teres t of ` 11,400 at the end of nine years, how much money did he borrow? ` 12,000

5 years 10 years 20 years 37 years th

44.

A.

57 67 77 87

Hitesh is 40 years old and Rohit is 60 years old. How many years ago was the ratio of their ages 3 : 5? A. B. C. D.

Sakshi can do a piece of work in 20 days. Tanya is 25% more efcient than Sakshi. The number of days taken by Tanya to do the same piece of work is

A. B. C. D. 41.

: : : :

A. B. C. D.

A res 5 shots to B’s 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed A. B. C. D.

38.

1 1 1 1

the number of members in the group is

D.

2 13

45.

m2 m2 m2 m2

11

A pineapple costs ` 5

`

7 each. A watermelon costs

each. X spends ` 38 on these fruits. The number

of pineapples purchased is

A group of students decided to collect as many paise from each member of the group as is the number of members. If the total collection amounts to ` 59.29,

A.

2

B.

3

C.

4

D.

Data is inadequate


7th IMO - Set A

7

7

7th IMO - Set A

ACHIEVERS SECT ION

46.

Select the INCORRECT match with respect to the representation of numbers on the number line. A.

Natural Numbers

The line extends indenitely only to the right side of 1.

B.

Whole Numbers

The line extends indenitely to the right, but from 0. There are no numbers to the left of 0.

C.

D.

47.

Integers

Rational Numbers

A. B. C. D. 49.

II

+ 2) – 4) – 4) + 4)

Study the two statements given below carefully. A pyramid is a polyhedron whose bas e and top are cong ruent polygons and whose other faces i.e ., lateral faces are parallelograms in shape. Statement 2 : A

prism is a polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex.

The line extends indenitely on both sides and you can see numbers between –1, 0; 0, 1, etc.

I

4)(5 x 4)(5 x 4)(4 x 4)(5 x

Statement 1 :

The line extends indenitely on both sides and you can see numbers between –1, 0; 0, 1, etc.

Which of the following Venn diagrams is right?

(3 x + (3 x – (5 x – (5 x –

A. B. C. D. 50.

Statement-1 is true and Statement-2 is false. Statement-1 is false and Statement-1 is true. Both the statements are true. Both the statements are false.

Match the solids in Column-I with their top view in Column-II. Column-I

A. B. C. D. 48.

Only Only Both Both

I right II right I and II are right I and II are wrong.

A school has 8 tables of dimensions 1 m by 1 m, 26 tables of dimensions x m by 1 m and 15 tables of dimensions x m by x m. All the tables are of equal height. Based on this information answer the question given below: If the tables are placed together to form a large rectangular table, then the dimension of the table formed is __________.

Column-II

(a)

(p)

(b)

(q)

(c)

(r)

(d)

(s)

A. B. C. D.

(a) (a) (a) (a)

→ (p);

(b) → (q); (b) → (q); (b) → (q); (b)



→ (q);

(c) → (r); (d) → (s) → (p); (c) → (r); (d) → (s) → (r); (c) → (s); (d) → (p) → (r); (c) → (p); (d) → (s)

Class 8 7th

SET B Year 2013


2

7th IMO - Set B

LOGICAL REASONING

1.

There is a denite relationship between gures 1 and 2. Establish a similar relationship between gures 3 and 4 by selecting a suitable figure from the options that would replace the question mark (?) in gure 4.

4.

If each of the letters in the English alphabet is assigned odd numerical value beginning A = 1, B = 3 and so on, what will be the total value of the letters of the word INDIAN? A. B. C. D.

Problem gure

5.

86 88 89 96

Find out how will the key gure (X) look like after 90° rotation clockwise?

A.

B. A. C. B. D. C.

2.

A set of gures carrying certain numbers, is given. Assuming that the number in each set follows a similar patte rn, nd the miss ing number. numb er.

D.

6.

3.

A.

35

B.

48

C.

72

D.

120

Study the diagram given here and answer the question that follows.

Select a suitable gure from the options which will replace the question mark so that a complete series is formed.

A.

Workers who are members of Union.

B.

Workers who are hardworking. Workers who are experienced

C.

Numbe r 4 represent repr esent : A. B. C. D.

Members of the Union. Members of the Union as well as hardworking and experienced workers. Hardworking and experienced workers not members of the Union. Hardworking workers members of the Union who are not experienced.

D.

7.

If  stands for ‘addition’,  stands for ‘subtraction’,  stands for ‘division’,  stands for ‘multiplication’ and  stands for ‘equal to’, then which of the fol lowing options is correct?


3

7th IMO - Set B



3

7th IMO - Set B

8.

A.

7

B.

3

C.

5

D.

2

 43  6  1  4  6  2  3  6  5  7  3  2  4  5  6  2  6

513 726 492 865 149 Which of the following will be the third digit of the

12.

second highest new number? 1

B.

5

C.

7

D.

8

S is the brother of T.

4.

T is the daughter of Q.

The grandmother of S is ____.

The digits of each of the following ve numbers are written in reverse order and ve new numbers are obtained :

A.

3.

A.

P

B.

Q

C.

R

D.

T

In a dinner party both sh and meat were served. Some took only sh and some only meat. There were some vegetarians who did not accept either. The rest accepted both sh and meat. Which of the following logic diagrams correctly reects this situation?

A.

9.

A solid cube cube of each side 8 cms, has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of each side 2 cms. B.

C.

D.

How many cubes have no face painted?

10.

A.

0

B. C.

4 8

D.

12

13.

Select a gure from amongst the options which when placed in the blank space of gure (X) would complete the pattern.

The given question consist of a set of three gures 1, 2 and 3 showing a sequence of folding of a piece of paper. Figure (3) shows the manner in which the folded paper has been cut. Choose a figure from the options which would most closely resemble the unfolded form of piece of paper.

A.

B. A. C. B. D. C.

11.

Given that 1.

P is the mother of Q.

2.

R is the son of P.

D.


4

7th IMO - Set B

4

14.

15.

7th IMO - Set B

Count the number of pentagons in the given gure.

A.

16

B.

12

C. D.

8 None of these

18.

There is a definite relationship between figures 1 and 2. Establish a similar relationship between gures 3 and 4 by selecting a suitable gure from the options that would replace the question mark (?) in gure (4).

The following question is based on the diagram given bel ow showi ng four per sons stati oned at the four corners of a square region as shown.

From the original position given in the above gure, A and B move one arm length clockwise and then cross over to the corner diagonally opposite; C and D move one arm length anti-clockwise and cross over the corner diagonally opposite. The original conguration ADBC has now changed to

A.

19. B.

A.

CBDA

B.

BDAC

C.

DACB

D.

ACBD

Select the one from the options which satisfies the same conditions of placement of the dots as in gure (X).

C.

D.

A.

16.

Find the missing number in the given number pattern. B.

C.

17.

A.

25

B.

125

C. D.

156 625

D.

Study the number series given below and answer the question that follows. 641228742153862171413286 How many pairs of alternate numbers have a difference of 2?

2 0.

Five girls are sitting in a row facing south. Priya is not adjacent to Shalini or Niti. Priti is not adjacent to Shalini and is at extreme right end. Priya is adjacent to Mahi. Mahi is at the middle in the row. Then, Priti is adjacent to whom out of the following?

A. B.

One Two

A.

Priya

B.

Shalini

C.

Three

C.

Niti

D.

Four

D.

Mahi


7th IMO - Set B

5

5

7th IMO - Set B


21.

If 3 x+y = 81 and 81 x – y = 38, then nd the values of x and y respectively. A. B. C. D.

22.

23.

A as centre, draw an arc of length 6.5 cm. It cuts

3, 1 1, 3 –1, 3 –1, –3

CY at D. Step-4 : Complete the quadrilateral ABCD . ABCD is the required quadrilateral.

The given gure shows a set of concentric squares. If the diagonal of the innermost square is 2 units, and if the distance between the corresponding corners of any two successive squares is 1 unit, nd the difference be tw een th e ar ea s of th e ei gh th an d th e se ve nt h squares, counting from the innermost square.

A. B. C. D. 27.

A.

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

B.

2×2×2×2×2×2×2×2×2×2×3×3×3

B.

40 units

C.

3 × 3 × 3 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

C.

30 units

D.

3 × 3 × 3 × 3 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

D.

20 units

28.

If x : y = 5 : 12, y : z = 8 : 3 and z : w = 9 : 16 then nd x : w. 5 5 5 5

: : : :

16 9 10 8

a

3

8 B.

a

3

8 C.

a

+

3

8 D.

+

-

b

3

512 b

3

512 b

+

c

3

125 c

+

3

125

+

3

512

+ c3 -

29.

3abc

80 3abc

80

3abc

2

3

2

Faces

8

5

Q

Vertices

P

6

13

Edges

12

R

30

30. 3

Factorize x p – 8 y p – 4 x q

2

+ 32 y

3

q

2

( p + 2q)( p – 2q) ( x2 – 2 xy + 4 y2)

B.

( p – 2q)( x2 + 2 xy + 4 y 2)( x – 2 y)

C.

( p + 2q)( p – 2q)( x – 2 y)( x2 + 2 xy + 4 y2)

D.

( p + 2q)( x2 + 2 xy + 4 y2)

R 9 10 9 20

A.

Speed of a vehicle and time taken to cover a xed distance

B.

Number of days worked and amount of earning

C.

Number of books and their price

D.

Number of units of current used and amount of charge for consumption

The largest 5-digit number exactly divisible by 91 A. B. C. D.

31. Identify the wrong step in the construction of quadrilateral ABCD , where AB = 4 cm, BC = 5 cm, CD = 6.5 cm, ∠ B = 105° and ∠ C = 80°.

Q 19 18 20 6

is

.

A.

P 6 6 7 9

Which of the following does not vary directly?

80

a3 + b3 + c3 – 3abc 3

Using Euler’s formula, nd the value of P, Q and R.

A. B. C. D.

Simplify :

A.

26.

Which of the following prime factorisation is used to nd the cube root of 13824?

38 units

æ a b c ö÷æç a 2 b 2 c 2 ab bc ca ö÷ çç + - ÷ç + + - + + ÷÷ çè 2 8 5 ÷øçè 4 64 25 16 40 10 ø

25.

Step-1 Step-2 Step-3 Step-4

A.

A. B. C. D. 24.

Step-3 : D is at a distance of 6.5 cm on CY . With

99921 99918 99981 99971

The simple interest on a certain sum of money for 2 years at 6% per annum is ` 300. The compound interest at the same rate and for the same time will be:

Step-1 : Start with taking BC = 5 cm. On B, draw an angle of 105° along BX and 80° along CY .

A.

` 310

B.

`

Step-2 : Locate A 4 cm away on BX . We now have B, C and A. The fourth point D is on CY .

C.

` 307

D.

` 309

308


6

7th IMO - Set B

6

32.

7th IMO - Set B

In a class of 100 students, 30% of the students offered English, 20% offered Hindi. If a student is selected at random, what is the probability that he has offered English? A.

2

B.

3

D.

5

33.

3

4

5 C.

34.

If

x

4

+

1 x

A.

64

B.

52

C. D.

40 38

= 194, nd the value of 4

x

3

+

1 x

3

.

3

35.

10

Which of the following is the net of the given cube (not drawn to scale)?

Look at the given data. 21, 10, 30, 22, 33, 5, 37, 12, 12, 25, 42, 15, 39, 26, 32, 18, 27, 28, 19, 29, 35, 31, 24, 36, 18, 20. The frequency distribution is given below : P

Groups 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60

Tally marks

Frequency

I

1

IIII II

7

IIII IIII IIII III

9 8

I

1

A.

0

Groups 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60

Q Tally Marks

Frequency

I

1

IIII II

7

IIII IIII

9

IIII II

7

I

1

I

1

B.

C.

Which of the following tables represent the data? A. Only P B. Only Q C. Neither P nor Q D. None of these

D.


36.

The total of the ages of Jiya, Kunal and Sagar is 93 years. Ten years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Sagar? A. B. C. D.

37.

24 32 34 38

38.

years years years years

A. B. C. D.

Two tailors X and Y are paid a total of ` 550 per week by their employer. If X is paid 120 percent of the sum paid to Y , how much is Y paid per week? A.

` 200

B.

` 250

C.

` 300

D.

None of these

Rohan and Shivam are working on an assignment. Rohan takes 6 hours to type 32 pages on computer, while Shivam takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages ?

39.

7 8 8 8

hours 30 minutes hours hours 15 minutes hours 25 minutes

A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds.


7th IMO - Set B

7

7

7th IMO - Set B

40.

41.

A.

16 : 5

B.

16 : 15

C.

6: 5

D.

15 : 1

C. D. 43.

Sam invested ` 15,000 at the rate of 10% per annum for one year. If the interest is compounded half-yearl y, then the amount received by Sam at the end of the year will be A.

` 16,500

B.

` 16,525.50

C.

` 16,537.50

D.

` 18,150

44.

A housing society has been allotted a square piece of land measuring 2550.25 sq. m. What is the side of the plot? A.

50.25 m

B.

50.5 m

C.

50.65 m

D.

50.05 m 45.

42.

Two pipes A and B can ll a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to ll the tank? A. B.

25 hours 19 hours

Arun and Sajal are friends. Each has some money. If Arun gives ` 30 to Sajal, then Sajal will have twice the money left with Arun. But, if Sajal gives ` 10 to Arun, then Arun will have thrice as much as is left with Sajal. How much money does each have? A.

` 50, `

B.

` 42, `

C.

` 50, `

D.

` 34, `

One-third of Mohit’s marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English? A.

42

B.

50

C. D.

60 180

A man walked diagonally across a square region. Approximately, what was the percent saved by not walking along the edges? A. B. C. D.

20 hours 18 hours

190 24 90 62

20 24 30 33

% % % %

ACHIEVERS SECT ION

46.

Which of the following is correct with respect to the given solids? I

47.

Study the two statements carefully and choose the correct answer. 2

II

æ 25 ö÷0 æ 64 ö÷- 3 1 Statement 1 : Solution of çç ÷ ¸ + ççç 3 ÷÷ 1/ 4 çè125÷ø (256 625) çè 64 ÷ø 3

is

2

Top view

Front view

Statement 2 : Law of Indices is

Side view

1 A.

B.

(I)

(I)

(I)

(II)

(II)

a

A. B. C. D.

(I)

48. C.

(II)

D. (I)

(I)

(II)

(II)

(II)

n

= a -n ,

1n

a

æ a öm a m = n a , ççç ÷÷÷ = m and a 0 = 1. èbø b

Both the Statements are true. Statement-1 is false and Statement-2 is true. Both the Statements are false. Statement-1 is true and Statement-2 is false.

Which of the following statements is correct? A. B. C. D.

Subtraction is commutative for integers. Division is associative for rational numbers. Multiplication is not associative for whole numbers. Addition is closed for natural numbers.


8

7th IMO - Set B

8

49.

7th IMO - Set B

In the given diagram, ABC , BDE and CDF straight lines. (gure not drawn to scale)

C. D.

are

50.

140°, 120° 120°, 120°

Garima is driving a car constantly at a speed of the 20 km/hour. Answer the following questions on basis of time-distance graph for this situation. (P) Coordinates on graph for the time taken by Garima to drive 80 km. (Q) The distance covered by Garima in 4½ hours. P

Find

∠CDE

and ∠ ABD respectively

A. B.

60°, 30° 90°, 120°

Q

A.

(4, 80)

90 km

B.

(80, 4)

80 km

C.

(20, 4)

85 km

D.

(4, 20)

95 km



Class 8 8th

SET A Year 2014


8th IMO - SET A

1

LOGICAL REASONING

1.

Answer the question referring to the symbol-let ter-

5.

number sequence given below: P : 3 # R U 2 + > A P Y B 4 Q : S £ 5 N

⇔ F

LoGiCaLReAsOnInG

G 8 * D 7 Y

R : O * H T 6 @ C 9 Z K

⊗

1

A.

G n I n O s A e R L a C i G o L

What is the difference between the total letters and

B.

G n I n O s A e R L a C i G o L

total symbols, which are used in the series of P, Q

C.

G n In O s A e R L a C i G o L

D.

G n I n O s A e R C i G o L L a

and A. B. C. D. 2.

R? Eight Nine Six Seven

6.

In a certain code language, the word HURDY-GURDY is written as GF-GE and HOB-NOB is written as BE-CA. How will the word HUGGER-MUGGER be written in that language? A. EI-AG B. EI-GA C. EF-GA D. FF-GA

3.

A, B, C, D, E, F, G and H are sitting around a circle facing the centre. D is second to the left of H, who is third to the left of A. B is fourth to the right of C, who is the immediate neighbour of H. G is not a neighbour of B or C. F is not a neighbour of B. How many of them are sitting between C and B? A. Two B. Four C. Two or Four D. Three

8.

Introducing a man, a woman says, "His wife is the only daughter of my father". How is the man related to the woman? A. Brother B. Father-in-law C. Maternal uncle D. Husband

9.

P, Q and R are three cities on a map. P is north of Q and ∠ PQR is 45° in clockwise direction. In what

Problem Figures

? B.

C.

D.

There is a certain relationship between g. (i) and (iii). Establish the similar relationship between g. (ii) and (iv) by selecting a suitable gure from the options which will replace the (?) in g. (iv).

direction is R from Q? A. North-East C. South-East

? (i) A.

C.

(ii)

(iii) B.

D.

(iv)

Either 10th or 11th April 11th April Either 11th or 12th April

7.

Find the missing gure which will replace the (?)

A.

Shivam and Varun want to visit the museum after their exam. Shivam's exam nishes on 9 th April and he is leaving for a holiday on 12 th April. Varun's exam will be over by 10 th April after which he is free. On which of the following dates can the two denitely meet? A. 10th April B. C. D.

in Problem Figures to complete the series.

4.

Select the correct mirror image of the given below combination of letters, if the mirror is placed vertically to the left.

10.

B. D.

The given gure shows the net of a cube. Which two faces lie opposite to each other? A. P and Q B. P and U C. Q and T D. S and U

North-West South-West P Q

R

S

T

U


2

8th IMO - SET A

8th IMO - SET A

2

11.

The given gures show a series of patterns formed

2. 3. 4. 5.

by using circles.

Pattern 1

Pattern 2

Pattern 3

If R gets most, V should be ranked not lower

Pattern 4

than . A. Second C. Fourth

How many more circles are there in Pattern 10 than in Pattern 8? A. 4 B. 6 C. 8 D. 10 12.

14.

the missing number.

15.

18

? 17

8

If the rst half of the English alphabet series are

17

19

9

Which of the following shapes is exactly embedded in Fig. (X)?

24

25 12

20

13.

Third Fifth

8th letter to the left of 14 th letter from the right end? A. E B. G C. F D. I

row-wise or column-wise. Identify the rule and nd

A. B. C. D.

B. D.

written in reverse order, then which letter should be

The characters in given gures follows a certain rule

21 16

No two students get the same marks. V always scores more than P. P always scores more than Q. Each time either R scores the highest and T gets the least, or alternatively S scores the highest and U or Q scores the least.

23

16

1 8 16 9

Fig. (X)

Read the following information and answer the following question: 1. Seven students P, Q, R, S, T, U and V take a series of tests.

A.

B.

C.

D.


16.

 2  5     10  5    16   55    3 ×  − 4   +   − 3  × 2  −   − 3  ××  − 32   Simplify: 3   9   1   ×  −  ×  −  2   14   7   A. C.

17.

1082 81

−133

7 81

18.

1082

B.

−

D.

133

Find the square root of 21 A.

4

B.

4

C.

4

D.

4

81 7 81

Mohit wins if he picks up a face card from the given cards. Find the probability of Mohit's winning. 7

7

3

3

5

19.

A

K

A. B. C. D.

5/7 1/7 2/7 6/7

7

3

3

5

K

3364

.

33 58 39 58 29 57 27 52

Find the value of z . z + 6.1 =

7

2797

0.5( z − 0.4)

A

A. B. C. D.

0.35

−

0.6( z − 2.71) 0.42

–2.8 2.8 4.2 –3.41


8th IMO - SET A

3

8th IMO - SET A

20.

3

In the given gure, if PC and PD are the bisectors of ∠ BCD and ∠ ADC respectively, then nd ∠ ABC .

26.

ratio of the length of PQ to the length of QR is 3 : 4 and the ratio of the length of PR to the length

D 25°

of RS is 2 : 1. Find the ratio of the length of QR to

C

30°

the length of PS .

P A A. B. C. D. 21.

D. 22.

23.

24.

25.

100°

B

205° 180° 300° 150°

27.

The is A. B. C. D.

n=

A.

7 : 19

B.

10 : 21

C.

21 : 8

D.

8 : 21

Study the pie-chart and answer the question based on it. VARIOUS EXPENDITURES (IN PERCENTAGE)

Which of the following is INCORRECT for an exterior angle of a regular polygon with n sides? A. All exterior angles of a polygon add upto 360°. B. Exterior angle = 180° – Interior angle C.

The points P , Q, R and S lie on a straight line. The

INCURRED IN PUBLISHING A BOOK

360°

Transportation

Exterior angle

Cost 5%

Each exterior angle =

Promotion

n

Cost 10%

A

D N

E

K

Which of the following two expenditures together have a central angle of 108°?

J

H

28.

F

I

If 21998 – 2 1997 – 21996 + 2 1995 = K ⋅21995 , then the value of K is . A. 1 B. 2 C. 3 D. 4

A.

Binding and Transportation

B.

Printing and Paper

C.

Royalty and Promotion

D.

Promotion and Paper

Sonu's grandmother is 80 years old and Sonu is 20 years old. How many years ago was his grandmother 7 times as old as Sonu?

G

To reduce a rational number in its standard form, we divide its numerator and denominator by their . A. L.C.M B. H.C.F C. Product D. Multiple

Cost 20%

30%

C

L

Cost 20%

Binding

B

O M

Printing

15%

Paper

(n − 2) × 180°

order of rotational symmetry in the given gure . 4 2 1 Innitely many

If the given gure is made up of 3 identical regular polygons, then nd (i) ∠ ABC (ii) ∠ DIN (iii) ∠ IOC (i) (ii) (iii) A. 120° 60° 120° B. 100° 60° 120° C. 120° 60° 60° D. 120° 80° 100°

Royalty

29.

A.

8 years

B. C.

10 years 12 years

D.

15 years

Calculate the perimeter and area of the given gure respectively, if radius of circle is 7 cm. 18 cm

16 cm

12 cm

20 cm

14 cm

A. B. C. D.

144 156 122 140

16 cm

cm, cm, cm, cm,

462 562 294 394

cm2 cm2 cm2 cm2


8th IMO - SET A

4 2

8th IMO - SET A

4

30.

A design has been drawn on a tile. ABCD and PQRS

A. B. C. D.

both are in the shape of a rhombus. Find the total area of semi-circles drawn on each side of rhombus ABCD. 33.

A P

3 cm

5 cm

B

3 cm

R

34.

C

A. B. C. D.

If the distance travelled by a car in one hour is with A. B. C. D.

3 cm

S

124 144 144 164

210 km, then the distance travelled by the same car

Q

D

8 y2 + 16 y + 9 y2 + 72 y + 72 y2 + 9 y + 18 y2 + 4 y +

the same speed in 60 seconds is 4500 m 3160 m 3500 m 4230 m

.

To construct a unique rectangle, the minimum number of measurements required is _____. A. 4 B. 3 C. 2 D. 1

2

142.843 cm 128.973 cm2 39.286 cm2 157.14 cm2

35.

Which of the following shows distributive property of multiplication over addition for rational numbers?

31.

Which of the following values are equal? (P) 14 (R) A. B. C. D.

32.

04 P and Q Q and R P and R P and S

(Q) 4 0

A.

(S) 41 B. C.

If we divide 15( y + 3) ( y 2 – 16) by 5( y 2 – y – 12) and multiply the result by 3( y + 4), we get

D.

.

3 1 5  3  3 5  − ×  +  −   =  − × 1  +  − ×  −   4  3  7    4 3   4  7   3 1 5  3 5 − ×  +  −   = − × 1  − −  4  3  7    4 3   7  3 1 5  1 3 5 − ×  +  −   = + −  ×  −  4  3  7   3  4   7  3 1 5  1 5  3 − ×  +  −   =  +  −   − 4  3  7    3  7   4


36.

Tanya and Priya left Town P and travelled in opposite

38.

` 350

is divided among P, Q and R in the ratio

directions to Town Q and Town R respectively

2 : 5 : 3. Find the amount of money that the child

at 7:30 a.m. Tanya was travelling at a speed of

with the largest share got.

68 km/hr while Priya was travelling at a speed of

A.

`

175

B.

` 180

52 km/hr. How far apart are they at 9:30 a.m.?

C.

`

145

D.

` 160

A.

320 km

B. C. D.

230 km 136 km 240 km

39.

Garima has 150 picture cards. Tarun has 110 picture cards. How many cards must Garima give to Tarun so that Tarun will have 4 times as many cards as Garima?

37.

During a mass drill exercise, 6250 students of different

A.

100

B.

140

schools are arranged in rows such that the number of

C.

82

D.

98

students in each row is equal to the number of rows. In doing so, the instructor nds out that 9 children

40.

The digit in the tens place of a two digit number is

are left out. Find the number of children in each

3 more than the digit in the units place. Let the digit

row. A. B. C. D.

at units place be b. Then the number is 46 79 85 69

A.

11b + 30

B.

10b + 30

C.

11b + 3

D.

10b + 3

.


8th IMO - SET A

5

8th IMO - SET A

41.

The cost of a chocolate is ` ( x + 4) and Rohit bought

Find an equation for the number of ancestors in a

( x + 4) chocolates. Find the total amount paid by him

generation n.

in terms of x.

A.

2n

B.

n + 2

C.

2n

D.

n/2

A.

42.

5

x2 + 8 x + 16 2

B. C.

8 x + 16 x + 12 6 x2 + 2 x + 14

D.

8 x2 + x + 16

There are 86,400 seconds in a day. How many days

44.

long is a second? Express your answer in scientic notation upto 3 decimal places.

43.

A.

1.157 × 10 –6

B.

1.234 × 10 –5

C.

1.157 × 10 –5

D.

1.432 × 10 –4

One fruit salad recipe requires

1

cup of sugar. Another 2 recipe for the same fruit salad requires 2 tablespoons of sugar. If 1 tablespoon is equivalent to

1

cup, how 16 much more sugar does the rst recipe require? 4

A.

While studying her family's history, Shikha discovers

cup

5

records of ancestors 12 generations back. She

6

B.

wonders how many ancestors she had in the past

cup

5

12 generations. She starts to make a diagram to help

3

C.

her gure this out. The diagram soon becomes very

cup

8

complex.

5

D.

cup

8

Shikha

45.

Ananya took part in a race. She ran 1.7 km, jogged 2

for 1

hours and walked the remaining 300 m of 3 the race. If the total distance of the race was 17 km,

Parents Past (Generation 1)

nd her jogging speed. Grandparents Past (Generation 2)

Great-grandparents Past (Generation 3)

A.

8 km/hr

B.

12 km/hr

C.

7 km/hr

D.

9 km/hr

ACHIEVERS SECTION

46.

Identify P, Q and R.

47.

Match the following: Column-I (a)

Line Graph

Column-II (i) Sh ow s co nt in uo us changes in data over periods of time.

P A. B. C. D.

Rectangular prism Rectangular pyramid Rectangular pyramid Square prism

Q

R

Square prism Square prism Square prism Rectangular prism

Triangular pyramid Triangular prism Cuboid

(b) Circle Graph

whole. (c)

Histogram

(iii) Shows the frequency of data divided into equal groups.

A. B.

Triangular pyramid

(ii) Com par e par ts of a

C. D.

→ (i), (b) → (iii), (c) → (ii) (a) → (iii), (b) → (ii), (c) → (i) (a) → (i), (b) → (ii), (c) → (iii) (a) → (ii), (b) → (i), (c) → (iii) (a)


6

8th IMO - SET A

8th IMO - SET A

6

48.

In the given gure (not drawn to scale), BA = BR

(a) (b) (c)

and PQ is parallel to RS . Find x, y and z . R

A. B. C. D.

50° 32°

P y E A

S

x

29°

B

C z

D

50.

Q

x

49.

y

z

A.

58°

69°

40°

B.

58°

40°

30°

C. D.

48° 69°

59° 40°

70° 58°

A dice is rolled once. What is the probability that the number will be

A factor of 36 Odd Less than 1 (a) 5/6 1/6 2/3 5/6

(b) 1/4 1/2 1/3 1/2

(c) 1/6 1/6 0 0

Fill in the blanks: ___ ___ P is the multiplicative identit y of rational • numbers. There are ___Q ____ rational numbers between two • given rational numbers. Rational numbers are not associative for ___ ____. R • P Q R A. 0 innite division B. 1 innite division C. 1 nite subtraction D. 0 innite addition



Class 8 8th

SET B Year 2014


8th IMO - SET B

1

LOGICAL REASONING

1.

In a certain code, the word COMEATONCE is written

6.

as XLNVZGLMXV. In the same code, which of the

and Whole numbers"?

following would code OK? A. KL B. LM C. KM D. LP 2.

Count the number of circles in the

given gure. A. 16 B. 15 C. 17 D. 18 3.

Which of the following Venn diagrams best represents the relationship amongst, "Fractions, Rational numbers

7.

There is a certain rule followed in gures P, Q and

A.

B.

C.

D.

There is a certain relationship between the gures P and Q & R and S. Identify the relationship and nd the missing gure.

R. Identify the rule and nd the missing numbers a & b respectively. 384

576

a

96

144

b

192

288 Q

168

P

A. B. C. D.

4.

5.

336, 676, 484, 576,

? P

Q

R

A.

B.

C.

D.

S

R

84 196 86 194

8.

Seven executives P, Q, R, S, T, U and W reach ofce in a particular sequence. U reaches immediately before P but does not immediately follow S. R is the last one to reach ofce. T follows immediately after P and is subsequently followed by W. Who ranks fourth in the sequence of reaching ofce? A. W B. U C. T D. None of these Study the following arrangement carefully and answer

Identify the missing figure in the given figure matrix.

?

A.

the question given below.

R B B D A P $ 3 T J Q 5 4 S * 1 L + V 9 N M 5 ÷ K 7 O If each symbol is rst converted into a numeral and then all the numerals are converted into english letters, how many converted english letters will be there in the above arrangement of elements? A. 15 B. 11 C. 12 D. 13

B.

C.

D.


2

8th IMO - SET B

8th IMO - SET B

2

9.

The three different positions of a dice are given

12.

below:

Select the correct mirror image of given below combination.

2 3

3 6

5

6 1

3

NeWsPaPeR123456 1

Mirror

A. B. C. D.

Which number is on the face opposite to 1? A. 6 B. 2 C. 3 D. 5 10.

There is a set of three figures X, Y and Z, showing a sequence of folding of a piece of paper.

13.

B.

C.

D.

6 5 4 3 2 1 R P a P s W N e

e

It is 3 o'clock in a watch. If the minute hand points .

14.

If the rst ve words in the sentence, "Meeta Meets Mysterious Meena Many Times" are rearranged in the alphabetical order, then which will be the middle word? A. Meeta B. Meena C. Meets D. Mysterious

15.

Shobha is the niece of Ashish. Ashish's mother is

Z

A.

e a s

towards the A. South B. South-West C. North-West D. South-East

paper has been cut. Choose the gur e which would most closely resemble the unfolded form of paper.

Y

6 5 4 3 2 1 R P P W e N

towards the North-East, then the hour hand will point

Figure (Z) shows the manner in which the folded

X

6 5 4 3 2 1 R e P a P s W e N NeWsPaPeR123456

Priya. Kamla is Priya's mother. Kamla's husband is Hari. Krishna is the mother-in-law of Hari. How is 11.

At the end of a business conference 15 people are

Shobha related to Hari? A. Daughter B. Great granddaughter C. Grand niece D. Great grandson's daughter

present. All shake hands with each other once. How many handshakes will there be altogether? A. 120 B. 91 C. 110 D. 105


16. I f (3.92 68) 2 = 15.42, then find the value of 154200. A. 3926.8 B. 392.68 C. 39.268 D. 3.9268

17.

18.

Solve for x : A. C.

19.

Which of the following do not vary directly? A. Speed of a vehicle and time taken to cover a xed distance. B. Number of days worked and amount of earnings. C. Number of books and their price. D. Number of units of current used and the amount of charge for consumption.

x + 9 28

+

x−4 3

=

19 29

5 x − 32 9 B. D.

−

2x − 3 35

–19 –29

The difference of the area of the circumscribed and the inscribed square of a circle is 35 sq. cm.

x

Find the area of the circle. A. B.

55 sq. m 70 sq. m

C.

55 sq. cm

D.

70 sq. cm


8th IMO - SET B

3

8th IMO - SET B

20.

3

The value of

 125   A. B. C. D.



64 

9

2/3

25. 1/ 2    36  0  1 ÷  +    =  (625 / 256)−1/ 4   3 64  

diagonal is 55 cm. Find the other diagonal and the area of the rhombus.

8 6 5 4

26.

9 9

The perimeter of a rhombus is 146 cm and one of its

A.

24 cm, 660 cm2

B.

24 cm, 330 cm2

C.

48 cm, 660 cm2

D.

48 cm, 1320 cm2

A rectangular block of wood has dimensions 24 cm by 9 cm b y 7 cm. It is cut up into bricks. Each brick is a cube of side 3 cm. Find the largest number of

4

bricks that can be cut from the block. 21.

22.

By what least number 3600 be divided to make it

A.

48

a perfect cube? A. 9 B. 50 C. 300 D. 450

B.

56

C.

49

D.

52

27.

Sneha cut the following gure out of a rectangular cardboard of length 70 cm and breadth 50 cm. Find

A.

8a2

B.

8a2b

the area of the gure.

C.

8a3b

D.

8a3

44 cm

1 11 cm 9 . 8 m c c 4 m 6 . 22 cm 2

5.5 cm

36 .3 c m m 9 c 4 1.

m c 5 . 8 3

33 cm

A. B. C. D.

24.

28.

m 3 7.1 c

m c 2 . 5 3

16.5 cm

44 cm

2722.5 cm2 2122 cm2 2577 cm2 2257 cm2

In the given gure, the angle formed between the hour and minute hand is A. 80° B. 40° C. 60° D. 30°

If A : Rational numbers are always closed under division

and R : Division by zero is not dened, then 3 6. 3 c m

11 cm

23.

Simplify : (a + b)3 + (a – b)3 + 6a(a 2 – b 2)

29.

A.

Both A and R are true

B.

Both A and R are false

C.

A is true and R is false

D.

A is false and R is true

Two dice are tossed. The probability that the total score is a prime number is A.

11

12

B.

1 2

10 9

3

C. 8

4 7

6

.

.

1 6 5 12 1 2

5

D.

The number of chocolates in the three packets

P, Q and R are in the ratio of 2 : 3 : 4. The total number of chocolates in the three packets is 270. Packet R sells 20 chocolates to packet P and 10 chocolates to packet Q. After this sale, what is the ratio of chocolates in packets P : Q : R? A. 8 : 9 : 10 B. 9 : 10 : 8 C. 8 : 10 : 9 D. 10 : 9 : 8

30.

7 9

Which of the following statements is INCORRECT? A.

A number is divisible by 3, if the sum of digits divisible by 3.

B.

A number is divisible by 9, if the sum of its digits is divisible by 9.

C.

A number is divisible by 4, if the number formed by its last two digits is divisible by 4.

D.

A number is divisible by 6, if the number is divisible by either 2 or 3.


4

8th IMO - SET B

8th IMO - SET B

4

31.

How many kg of pure salt must be added to 30 kg of 2% solution of salt and water to increase it to a 10% solution? 2 2 kg A. 3 1 4 kg C. 2

B. D.

2 3 kg 3 2 6 kg 5

A. B.

32.

Which of the following pie charts represent the data shown below? Number of students opting different subjects Subject

No. of students

English

45

Maths

60

Physics

20

Chemistry

30

Economics

10

Hindi

15

30°

A.

110°

40° 50°

C. D. 34.

B.

80°

−

The size of a red blood cell is 0.000007 m and the size of a plant cell is 0.00001275 m. Compare these two, which of the following is correct? 3 A. A red blood cell is approximately of the plant 4 cell in size. 1 B. A red blood cell is approximately of the plant 4 cell in size. C. A red blood cell is approximately half of the plant cell in size. D. A red blood cell is approximately equal to the plant cell in size.

3 0 °

50°

1 2 2 1 1 1 a b c + ab 2c − abc 2 − cb 2a 2 + 2 3 4 5 1 2 1 1 cb a − c 2 ab + ca 2b 6 7 8 7 1 1 1 ab 2c 2 + a 2bc − abc 2 + abc 2 10 2 28 8 7 1 11 1 − a 2b 2c + ab 2c − abc 2 + a 2bc 10 2 28 8 1 2 2 7 10 1 a b c + ab 2c − abc 2 + abc 2 14 12 5 8 None of these

33. Simplify:

4 0 °

20°

60°

120° 90°

35.

A card is drawn from a packet of 100 cards numbered 1 to 100. The probability of drawing a number which is a square is

C.

120°

90° 30°

50°

D.

100°

A.

30° 60°

60°

90°

40°

2 0 °

C.

10°

1

B.

10 1

D.

100

9 100 2 100


36.

A class starts at 10 a.m. and lasts till 1.27 p.m. Four

The price of tea being increased by 20%, a man

peri ods are held duri ng this interval . After every

reduces his consumption by 20%. By how much

period, 5 minut es are given f ree to the stud ents. The

percent will his expenses for tea be decreased? A. 2% B. 4% C. 6% D. 8%

exact duration of each period is A. 42 minutes B. 48 minutes C. 51 minutes D. 53 minutes 37.

38.

39.

If a company sells a car with a marked price of

A man plants 15376 apple trees in his garden and

` 2,72,000

and gives a discount of 4% on

` 2,00,000

arranges them so that there are as many rows as

and 2.5% on the remaining amount of

there are apples trees in each row. The number of

then the actual price charged by the company for

rows is A. 124 B. 126 C. 134 D. 144

the car is A. ` 2,50,000 B. ` 2,55,000 C. ` 2,60,100 D. ` 2,62,200

`

72,000,


8th IMO - SET B

5

8th IMO - SET B

40.

41.

5

Ratio of the earnings of A and B is 4 : 7. If the

43.

` 15,000

at 10% per annum for one

earnings of A increase by 50% and those of B

year. If the interest is compounded half-yearly, then

decrease by 25%, the new ratio of their earnings

the amount received by Sam at the end of the year

becom es 8 : 7. What are A's earnings? A. ` 21,000 B. ` 26,000 C. ` 28,000 D. Data inadequate

will be A. ` 16,500 B. ` 16,525.50 C. ` 16,537.50 D. ` 18,150

A train 150 m long is running with a speed of

44.

Within a rectangular garden 10 m wide and 20 m long, we wish to pave a walk around the borders of uniform width so as to leave an area of 96 m 2 for owers. How wide should the walk be? A. 1 m B. 2 m C. 2.1 m D. 2.5 m

45.

Tickets numbered 1 to 30 are mixed up and then a

68 km/hr. In what time will it pass a man who is running at 8 km/hr in the same direction in which the train is going? A. 6 sec B. 10 sec C. 9 sec D. 12 sec

42.

Sam invested

A can nish a work in 18 days and B can do the same work in half th e time taken by A. Then, working together, what part of the same work they can nish in a day? 1 A. 6 1 B. 9 2 C. 5 2 D. 7

ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 5? 1 A. 5 3 B. 5 2 C. 5 1

D.

4

ACHIEVERS SECTION

46.

Find the sum of a, b, c, d , e, f , g and h.

47.

Select the INCORRECT match. A. Mean proportion If A : B = x : y, then B : A = y : x B. Equivalent ratio Eac h ter m in a ra tio multiplied/divided by the same number. C. Ratio Used to compare two or more than two quantities. D. Proportion It is an equality relation between two ratios.

48.

h g

a b

f e

A.

720°

Find the numerical value of P : Q where + − +− + −  x m  m n l  x n  n l m  xl  l m n and ×  l  × m P =  n  x   x   x 

B.

360°

Q=

C.

540°

where a, b, c being all different.

D.

180°

A. C.

c

d

1/( a −c )

( 1/( ) ) x

a −b

1:2 1:1

×

1/( b −a )

( 1/( ) ) x

b −c

B. D.

×

1/( c −b )

( 1/( ) ) x

c −a

2:1 None of these


6

8th IMO - SET B

8th IMO - SET B

6

49.

If DE is internal bisector of

∠ D,

then nd x & y

C. D.

respectively. G

50.

x

F

Study the statements and choose the correct option. Statement-1 : The square root of certain decimals

A 35°

E y 70°

B

A. B.

25°, 155° 155°, 25°

30°, 150° 20°, 120°

25°

C

D

are obtained by rst changing the decimals into fractions with perfect squares as their numerators and denominators. Statement-2 : (26.1) 2 lies between 400 and 900. A. Statement-1 is true and statement-2 is false. B. Statement-1 is false and statement-2 is true. C. Both statements 1 and 2 are false. D. Both statements 1 and 2 are true. SPACE FOR ROUGH WORK


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