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
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