IMO Grade-7 2013-Paper - storage.googleapis.com · Direction (34-35): A fair dice has faces...

IMO Grade-7 2013-Paper

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Logical Reasoning

1. Priya remembers that she saw her maternal aunt on Friday after 23rd of a month. If 6th of that

month fall on Sunday, then on what day of the week did she meet?

(a) 24th

(b) 25th

(c) 27th

(d) 29th

2. Beena, who is Garma’s daughter, says to Latika, ‘your mother Aashka is the younger sister

of my mother, who is the third child of Rajeev’. How is Rajeev related to Latika?

(a) Brother

(b) Uncle

(c) Maternal grandfather

(d) Father

3. Which of the following options has the same relationship as that of MJ : QN?

(a) PK : NP

(b) RL : OP

(c) BR : FV

(d) EF : IM

4. How many such pairs of letters are there in the word 'DISTURBANCE' which have as many

letters between them as there are in English alphabets?

(a) 6

(b) 5

(c) 8

(d) 7

5. Mohit, Nitin and Raj play cricket, hockey and football. Mohit, Nitin and Tarun play cricket,

football and volleyball. Mohit, Raj, Sumit and Nitin play cricket and hockey. Which game

is played by all the boys?

(a) Hockey

(b) Cricket

(c) Football

(d) Volleyball



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6. Which of the following is the mirror image of the given word, if the mirror is placed

vertically to the left?

2 R E A S O N I N G 7

(a)

(b)

(c)

(d)

7. The opposite faces of a cube are as shown:

Which of the following options represents the unfolded cube?

(a)

(b)

(c)

(d)



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8. How many 5's are there in the given series of which is immediately preceded by an even

number and immediately followed by a vowel?

2 5D4 1 5 I 3BC6 2 5A6 5 I J 9 3 5Q7 F 4 3 8 JKA6 5 0 4 5

(a) 0

(b) 3

(c) 4

(d) 2

9. If ' ' means ' ', ' ' means ' ', ' ' means ' ' and ' ' means ' ' , then

320 225 15 15 85 ?

(a) 180

(b) 140

(c) 60

(d) 940

10. Find the missing figure in the given figure matrix.

(a)

(b)

(c)

(d)



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11. Five friends Ashu, Andy, Monu, Sonu and Meeku are sitting on a bench facing north. Ashu

is sitting next to Monu, Andy is sitting next to Meeku, Meeku is not sitting next to Sonu,

who is sitting on left end at the bench. Andy is on the second position from the right, Ashu

is second from the left, in which position is Monu sitting?

(a) 3rd

(b) 2nd

(c) 1st

(d) 5th

12. 12. Find the figure from the options in which Fig. (X) is embedded as one of its part.

(a)

(b)

(c)

(d)

13. In a certain code language, the word 'DIPLOMA' is written as 'FERHQIC'. How will the

word 'FOREIGN' be written in that code?

(a) HJTAKCP

(b) HKTALCP

(c) HKTAKCP

(d) HKTAKBP



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14. B is the South-West of A, C is to the East of B and South-East of A and D is to the North of

C in line with B and A. In which direction of A is D located?

(a) North-West

(b) South-West

(c) South-East

(d) North-East

15. Which of the following Venn diagrams correctly describes the relationship amongst

"Vegetable, Fruit, Rotten"?

(a)

(b)

(c)

(d)

16. Arrange the following words in the alphabetical order as arranged in dictionary and choose

the word that comes last.

(a) Prominent

(b) Prohibition

(c) Programme

(d) Prolong

17. Which of the following options will complete the series?

3, 2, 11, 4, 35, 8, 107, 16 ?

(a) 321

(b) 323

(c) 32

(d) 120



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18. Which number will replace the question mark, if the matrix follows a certain rule row-wise

or column-wise?

(a) 12

(b) 13

(c) 11

(d) 10

19. The given question consists of two sets of figure. Figures P, Q, R and S consists of a problem

set. There is a definite relationship between figures P and Q. Establish a similar relationship

between Figure R and S by selecting a suitable figure from the options that would replace

(?) in figure S.

(a)

(b)

(c)

(d)



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20. In the given question a piece of sheet is folded and cut and then unfolded. Select this figure

from option which exactly resembles the unfolded paper.

(a)

(b)

(c)

(d)

Mathematical Reasoning

21. The figure is made up of 3 squares. What is the area of the shaded part of the figure? (figure

not drawn to scale)

(a) 250cm

(b) 224cm

(c) 236cm

(d) 248cm



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22. In the given figure, || , ||PQ RS PS QR and RPT is 1

4 as much as PTS . What is the

value of RPQ ?

(a) 84

(b) 63

(c) 42

(d) 52

23. Which of the following statements is INCORRECT with respect to integers?

(a) Integers are closed under both addition and subtraction.

(b) Commutative property holds in addition but not in subtraction.

(c) Associative property holds both in addition and subtraction.

(d) 0 is the additive identity of integers.

24. The value of 28 in 528094 is the same as ______.

(a) 7000 + 1094

(b) 8094 – 90

(c) 7094 + 906

(d) 28094 – 94

25. Which of the following will make the expression true?

7 2 1 4 6 3 4 6 3 3 5 71

3 6 2 5 8 4 5 8 4 4 6 3

(a) >

(b) <

(c) =

(d) Can’t be determined

26. The circumference of the tyre of Radha's bicycle is 2.5 m. She took part in a bicycle race of

1 km. When she had covered 700 m, the tyre burst. If she had to finish the race, how many

more times the wheel must go round?

(a) 24

(b) 120

(c) 125

(d) 30



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27. Mohit spends Rs.7 4x for a shirt and Rs. 2 8x for a pair of trousers. If he gives the

shopkeeper a 1000 rupee note, how much will he get back?

(a) 1012 9x

(b) 996 9x

(c) 992 8x

(d) 996 7x

28. Find the mean and median respectively in this group of test results.

60, 43, 47, 61, 35, 53, 49, 32, 59

(a) 49, 47

(b) 46.87, 49

(c) 48.69, 43

(d) 48.77, 49

29. The average of 4 numbers is 25. The average of the first 3 numbers is 22. What is the value

of the 4th number?

(a) 23

(b) 34

(c) 44

(d) 47

30. Solve for :15 9 2 12 5 6 0x x x x

(a) 3

(b) 1

2

(c) 9

2

(d) 4

31. In the given figure, ABC is a straight line. Find y .

(a) 50

(b) 80

(c) 100

(d) 130



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32. How many unit cubes are required to make it a cuboid?

(a) 18

(b) 30

(c) 28

(d) 26

33. Simplify:

37 5 3 2

25 3 2

5 10

2 6

x y a x

x y a y

(a) 425

6xy

(b) 2 325

4x y

(c) 29

100a xy

(d)

49

100

x

a xa

Direction (34-35): A fair dice has faces numbered 0, 1, 7, 3, 5 and 9. If it is thrown, the

probability of getting

34. a 1 is ________

(a) 2

5

(b) 1

6

(c) 1

2

(d) 3

5



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35. An odd number is

(a) 1

(b) 2

3

(c) 5

6

(d) 1

6

Everyday Mathematics

36. By selling a watch for Rs. 1275, Javed lost 15%. At what price should he sell to make profit

of 10%?

(a) Rs. 1500

(b) Rs. 1482

(c) Rs. 1550

(d) Rs. 1650

37. A businessman borrowed some money at 1% per month. After some time, he settled the debt

by paying Rs. 14,750. If the total interest was Rs.2950, find the time.

(a) 2 years 1 month

(b) 3 years

(c) 1

22

years

(d) 1 year 8 months

38. Four persons step off together during a morning walk. Their steps measure 60 cm, 80 cm,

75 cm and 90 cm respectively. At what distance from the starting point will they again step

off together?

(a) 12 m

(b) 36 m

(c) 4 m

(d) 72 m



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39. Rajesh had a packet of 20 sketch pens. He gave 12 to Kartik and 6 to Meena. What fractions

of the packet did he give to Kartik and Meena?

(a) 3

10

(b) 4

5

(c) 9

10

(d) 1

5

40. 20% of the students were absent in an examination. 15% of those who appeared failed. If

340 students passed, what was the total number of students?

(a) 550

(b) 450

(c) 400

(d) 500

41. A man is five times as old as his son. He will be three times as old as his son after 10 years.

Find their present ages.

(a) 10 years, 50 years

(b) 8 years, 40 years

(c) 12 years, 60 years

(d) 6 years, 30 years

42. A park 300 m by 210 m has a path 5 m wide all round it, the path being inside the park. Find

the cost of constructing the path at Rs. 100 per 210m .

(a) Rs. 500

(b) Rs. 5000

(c) Rs. 50000

(d) Rs. 500000

43. The melting point of mercury is 39 C . The freezing point of alcohol is 98 C . How much

more is the melting point of mercury as compared to the freezing point of alcohol?

(a) 137 C

(b) 137 C

(c) 59 C

(d) 59 C



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44. Nine counters numbered 1 to 9 are placed in a bag. One is taken out at random. The

probability that it

is divisible by 3 is _______.

(a) 1

2

(b) 1

3

(c) 2

9

(d) 4

9

45. In a school, 28 4 9a a students were enrolled.

22 9 2a a students were boys. How many

girls were enrolled?

(a) 26 13 7a a

(b) 24 13 7a a

(c) 26 13 7a a

(d) 24 13 7a a

Achievers Section

Direction (46-47): The line graph shows the number of storybooks Armaan read in the last

4 months of a year.

46. The ratio of storybooks he read in September to November is

(a) 1 : 4

(b) 4 : 1

(c) 2 : 5

(d) 5 : 2



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47. The number of storybooks that he read in October as a fraction of the total number of

storybooks read is

(a) 1

12

(b) 3

4

(c) 1

2

(d) 5

12

48. What percentage of the figure is shaded?

(a) 50 %

(b) 60 %

(c) 70 %

(d) 65 %

49. If the 2 unit cubes marked 'X' are removed from the solid, which solid will be obtained?

(a)



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(b)

(c)

(d)

50. Select the incorrect match.

Item S.P. (Rs.) Profit / loss C.P. (Rs.)

(a) Pen 96 20% profit 80

(b) Sofa 7000 1

12 %2

loss 8000

(c) Wooden shelf 6786 13% loss 7812

(d) Tea set 1526 9% gain 1400

IMO Grade-7 2013-Paper - storage.googleapis.com · Direction (34-35): A fair dice has faces...

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