CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set M

LOGICAL REASONING

Question. If O = 16, FOR = 42, then what is FRONT equal to?
A. 61
B. 65
C. 73
D. 78
Answer : D

Question. A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is girl's
A. Son
B. Uncle
C. Nephew
D. None of these
Answer : D

Question. Seven people – A, B, C, D, E, F and G – are standing in a single line, facing a booth. E is somewhere ahead of F. There is exactly one person standing between C and G. D is immediately behind A. F is behind both B and D. If D and C are fourth and fifth in line respectively, then which of the following must be true?
A. F is seventh
B. A is first
C. F is sixth
D. B is first
Answer : C

Question. Rakesh's school bus is facing North when it reaches his school. After starting from Rakesh's house, it turns right twice and then left before reaching the school. What direction was the bus facing when it left the bus stop in front of Rakesh's house?
A. West
B. East
C. South
D. North
Answer : A

Question. In a school, the following codes were used during physical exercise. '1' means 'start walking', '2' means 'keep standing', '3' means 'start running at the same spot', '4' means 'sit down'. How many times will a student who performs the following sequence without error from the beginning to the end have to sit down?
1 2 3 4 2 3 1 4 4 3 2 2 1 2 4 3 1 4 4 1 2
A. 3
B. 2
C. 5
D. 4
Answer : D

Question. How many pairs of alternate numbers have a difference of 3 in the given series?
6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6
A. Five
B. Two
C. Three
D. Four
Answer : A

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

A. 68
B. 27
C. 19
D. 58
Answer : D

Question. Select the figure from the options that will replace the question mark(?) to continue the series in Problem Figure.

Answer : A

Question. A square transparent sheet with a pattern is given.
Select a figure from the options as to how the pattern would appear when the transparent sheet is folded along the dotted line.

Answer : C

Question. Count number of straight lines required to make given figure.

A. 14
B. 13
C. 11
D. 12
Answer : B

Question. Unscramble the letters in the given words and find the odd one out.
A. nrtiagle
B. ubnmer
C. getracnle
D. irclce
Answer : B

Question. Three different positions X, Y and Z of a dice are shown in the figures given below. Answer the following question which is based upon these figures.

Which number lies at the bottom face in position X?
A. 2
B. 3
C. 6
D. 4
Answer : B

Question. Select an opt ion which wil l make up the Figure (X).

Answer : A

Question. Select a figure from the options which will complete the pattern in Fig. (X).

Answer : C

Question. Select a figure from the options which will continue the series established by the Problem Figures.

Answer : D

Question. Study the figure given below and answer the following question.
What is the sum of the numbers which belong to one figure only?

A. 20
B. 16
C. 21
D. 27
Answer : A

Question. If ÷ means +, – means ÷, × means – and + means ×, then (36x4) - 8-4/4+8x2+16÷1
A. 0
B. 8
C. 12
D. 16
Answer : A

Question. There is a certain relationship between the figures (i) & (ii) and (iii) & (iv). Identify the relationship and find the figure from the options which will replace the question mark in figure (iv). 

Answer : A

Question. Insert the missing character, if the same rule is followed in (i), (ii) and (iii).

A. 10
B. 15
C. 20
D. 25
Answer : C

Question. Count the number of cubes in the given solid.

A. 8
B. 9
C. 12
D. 15
Answer : D

MATHEMATICAL REASONING

Question. The value of

A. 1976/264
B. 16/11
C. 145/24
D. 294/31
Answer : D

Question. A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged.
Given below are the steps to find the number. Identify the wrong step.
Step 1 : L et the unit’s digit be x.
Step 2 : Then, ten’s digit = (9 – x)\ number = 10 × (9 – x) + x ⇒ 90 – 10x + x = (90 – 9x)
Step 3 : Adding 27 to the number 90 – 9x we get 117 – 9x
Step 4 : Number with digits interchanged is 10x + (9 – x) = 9x + 9
Step 5 :127 – 9x = 9x + 9
Step 6 : Therefore unit’s digit = 6 and ten’s digit = 3
Step 7 : Hence the number = 36.
A. Step 7
B. Step 5
C. Step 4
D. Step 3 and step 6
Answer : B

Question. Which of the following shaded fraction represents

Answer : B

Question. Find x in the given figure.

A. 292°
B. 122°
C. 112°
D. 120°
Answer : C

Question. A person borrows ₹ 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6(14)% p.a. for 2 years. Find his gain in the transaction per year.
A. ₹ 125
B. ₹ 167.50
C. ₹ 150
D. None of these
Answer : D

Question. PQRS is a rectangle. E and G is the mid-point of SR and PQ respectively, PF = FR. The ratio of total area of triangle PFQ and triangle FER to area of rectangle PQRS is ______.

A. 9: 4
B. 3 : 8
C. 5 : 8
D. None of these
Answer : B

Question. The figure shows a trapezium PQRS whose lengths are in centimetres. If area of PQRS is 72 cm², find the value of x.

A. 2
B. 4
C. 6
D. 8
Answer : A

Question. The median of the given data is
98, 75, 96, 180, 270, 102, 94, 100, 610, 200, 75, 80
A. 100
B. 98
C. 97
D. 99
Answer : D

Question. What percentage of numbers from 1 to 70 have squares that end in the digit 1?
A. 1%
B. 14%
C. 20%
D. 21%
Answer : C

Question. The circumference of two circles are 44 m and 88 m.
Find the difference in the areas of the circles.
A. 142 m²
B. 642 m²
C. 462 m²
D. 426 m²
Answer : C

Question. Simplify :
2p³ + 8p² – 7p + 15 – 6p³ – 5p² – 8p + 7 + 16p – 9
A. 4p³ + p – 3p² + 4
B. –4p³ – 3p² – p + 13
C. –4p³ + 3p² + p + 13
D. 4p³ + 3p² – p + 13
Answer : C

Question. Match the columns.

A. (a) → (i); (b) → (iii); (c) → (ii)
B. (a) → (ii); (b) → (iii); (c) → (i)
C. (a) → (ii); (b) → (i); (c) → (iii)
D. (a) → (iii); (b) → (i); (c) → (ii)
Answer : A

Question. The bar graph shows the number of rotten apples in 7 boxes. There are 100 apples in each box.

What fraction of the total number of apples were rotten?
A. 6/175
B. 4/175
C. 3/139
D. 2/171
Answer : A

Question. ln the figure (not drawn to scale), ABCD is a parallelogram with AB = BD = CD and ADEF is a trapezium with AD parallel to FE. Find the value of y and z respectively.

A. 86°, 45°
B. 104°, 30°
C. 112°, 15°
D. 104°, 12°
Answer : B

Question. The given figure is formed by two identical circles in a rectangle. E and F are the centres of the circles.
Find the area of the shaded part (Take π = 22/7).

A. 330 cm²
B. 336 cm²
C. 236 cm²
D. 300 cm²
Answer : B

EVERYDAY MATHEMATICS

Question. Rohan has just finished reading 204 pages of a storybook. He plans to finish reading the rest of the book in the next 7 days by reading the same number of pages each day. If he reads 35% of the book in the next 5 days, how many pages does the book have?
A. 300
B. 400
C. 500
D. 600
Answer : B

Question. There are some sweets in a jar. The sweets can be put into boxes of 3 or 7 with no sweets left over. When the sweets are put into boxes of 20, there are 5 sweets left over. What is the smallest possible number of sweets in the jar?
A. 48
B. 105
C. 112
D. 168
Answer : B

Question. Niketan bought 8 shirts and 6 pairs of pants. Each shirt costs ₹ 126 and the 8 shirts cost twice as much as the 6 pairs of pants. How much did he pay for the 8 shirts and 6 pairs of pants ?
A. ₹ 1478
B. ₹ 2180
C. ₹ 840
D. ₹ 1512
Answer : D

Question. 0.6 of the pupils in a class like to play badminton. 1/6 of the remaining pupils like to play basketball, 2 pupils like soccer and 8 pupils like table tennis.
How many pupils like to play badminton?
A. 10
B. 18
C. 30
D. 40
Answer : B

Question. The marks scored in an examination are converted from 50 to 10 for the purpose of internal assessment.
The highest marks were 47 and the lowest were 14.
The difference between the new maximum and the minimum internal assessment scores is _______.
A. 3.3
B. 4.8
C. 6.6
D. 7.4
Answer : C

Question. Sneh's age is (1/6)th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, then what is Sneh's present age?
A. 6(2/3)years
B. 24 years
C. 30 years
D. 5 years
Answer : D

Question. 1100 girls and 700 boys are examined in a test; 42% of the girls and 30% of the boys failed. The percentage of the total who pass is ______.
A. 58%
B. 62(2/3)%
C. 60%
D. 78%
Answer : B

Question. Rihana took a loan of ₹ 1200 with simple interest for as many years as the rate of interest. If she paid ₹ 432 as interest at the end of the loan period, what was the time?
A. 3.6 years
B. 6 years
C. 18 years
D. Cannot be determined
Answer : B

Question. A park, square in shape has a 3 metre wide road inside it running along its sides. The area occupied by the road is 1764 square metres. What is the perimeter along the outer edge of the road?
A. 576 metres
B. 600 metres
C. 670 metres
D. None of these
Answer : A

Question. A card is drawn from a pack of 52 cards. The probability of getting a queen is ________.
A. 1/13
B. 6/13
C. 1/26
D. 1/52
Answer : A

ACHIEVERS SECTION

Question. Study the figure carefully

Find :
(a) the perimeter
(b) the area
        a               b
A. 329 m       547 m²
B. 329 m       297 m
C. 156 m       740 m²
D. 166 m       740 m²
Answer : C

Question. In the given question below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
In how many years will a sum of money put at simple interest treble itself?
I. The interest earned in 4 years is half the sum.
II. The rate of interest is 12(1/2)%.
III. The sum doubles itself in 8 years at simple interest.
A. Any one of the three
B. Any two of the three
C. I and II only
D. II and III only
Answer : A

Question. Read the statements carefully and select the correct option 

then p = 4 and q = 2
A. Statement-1 is true and statement 2 is false.
B. Statement-1 and 2 are true .
C. Statement-1 and 2 are false.
D. Statement-1 is false and statement-2 is true.
Answer : B

Question. Select the incorrect match of shaded fraction.

Answer : D

Question. Fill the blank.
The value of the product of two ____________ fractions is __________ each of the two fractions.
A. Improper, more than
B. Proper, more than
C. Improper, less than
D. Proper, equal to
Answer : A