CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set L

SECTION-I : LOGICAL REASONING

Question. How many pairs of letters are there in the word INSENSITIVE which have same number of letters between them as in English alphabet?
(A) Three
(B) Four
(C) Five
(D) Six
Answer : D

Question. How many such consonants are there in the given arrangement each of which is immediately preceded by a letter and immediately followed by a symbol?
E % 3 R 5 # A 6 B I J @ 2 9 H U 4 ★ M 1 * F 7 $ W 8 P N D
(A) None
(B) One
(C) Two
(D) Three
Answer : B

Question. If 'sky' is called 'bright', 'bright' is called 'rain', 'rain' is called 'green', 'green' is called 'air', 'air' is called 'blue' and 'blue' is called 'water', then where does a bird fly?
(A) Air
(B) Sky
(C) Bright
(D) Blue
Answer : C

Question. If 'M' denotes '×'; 'R' denotes '–'; 'K' denotes '+' and 'B' denotes '÷'; then 24 B 4 M 8 K 6 R 4 = ?
(A) −3(4/7)
(B) −3(1/4)
(C) 52
(D) 50
Answer : D

Question. Prabir started walking towards South. He took a right turn after walking 10 metres. He again took a left turn after walking 20 metres. Which direction is he facing now?
(A) South
(B) North
(C) West
(D) East
Answer : A

Question. In a row of thirty five children, M is fifteenth from the right end and there are ten children between M and R. What is R's position from the left end of the row?
(A) 15th
(B) 5th
(C) 30th
(D) Data inadequate
Answer : D

Question. A shwini, Priya, Sudha, Rani, Meeta, Geeta and Mukta are sitting around a circle facing the centre.
Ashwini is third to the left of Mukta and to the immediate right of Rani. Priya is second to the left of Geeta, who is not an immediate neighbour of Meeta. Who is second to the left of Rani?
(A) Ashwini
(B) Meeta
(C) Geeta
(D) Sudha
Answer : C

Question. Select a figure from the options which contains the same placement of dots as in the Fig. (X)?

Answer : B

Question. How many triangles are there in the following figure?

(A) 21
(B) 22
(C) 23
(D) None of these
Answer : B

Question. Figures (1) and (2) bear a certain relationship. Similarly, Fig. (4) bears the same relationship to the Fig. (3). Select a figure from the options which would replace the sign of question mark (?) in Fig. (4).

Answer : B

Question. Which of the following letters will be fourth if they are arranged alphabetically as found in the dictionary?
(A) Clever
(B) Calm
(C) Cloth
(D) Custom
Answer : D

Question. A mongst P, Q, R, S and T, each having a different weight, R is heavier than S but lighter than T. P is lighter than S. Who amongst them is the heaviest?
(A) T
(B) Q
(C) T or Q
(D) Data inadequate
Answer : C

Question. Pointing to a photograph of a man, Neha said, "He has no sisters or daughters, but his mother is the only daughter of my mother." How is the man in the photograph related to Neha's mother?
(A) Brother-in-Law
(B) Grandson
(C) Nephew
(D) None of these
Answer : B

Question. Select from the options that best illustrates the relationship among the three classes:
"Pigeons, Birds, Dogs".

Answer : A

Question. Select a figure from the options which will continue the same series as established by the Problem figures.

Answer : A

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

Answer : B

Question. Which of the following options is the correct mirror image of the given word, if the mirror is placed vertically to the left?

Answer : A

Question. Select a figure from the options that resembles the Fig. (X) obtained by folding the transparent sheet along the dotted line.

Answer : A

Question. On the basis of the following figures, you have to tell which number will come in place of question mark (?).

(A) 2
(B) 3
(C) 6
(D) 1
Answer : D

Question. Select a figure from the options in which Fig. (X) is exactly embedded as one of its part.

Answer : B

SECTION-II : MATHEMATICAL REASONING

Question. In the figure (not drawn to scale), ADE is an isosceles triangle with AE = AD, BCA is a right-angled triangle, FBA and ACD are equilateral triangles. Find ∠x.

(A) 38°
(B) 40°
(C) 42°
(D) 44°
Answer : B

Question. What percentage of the figure is shaded?

(A) 38%
(B) 39%
(C) 40%
(D) 41%

Answer : C

Question. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 99 are wrong and the other digits are correct, then the correct answer would be ______.
(A) 553681
(B) 555181
(C) 555681
(D) 556581
Answer : C

Question. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8, is ______.
(A) 504
(B) 536
(C) 544
(D) 548
Answer : D

Question. In the figure (not drawn to scale), ∠a is 2 times ∠x, ∠b is 3 times ∠x, ∠c is 4 times ∠x, ∠d is 5 times ∠x. Find ∠x.

(A) 22°
(B) 24°
(C) 26°
(D) 28°
Answer : B

Question. The value of 96.54 - 89.63/96.54 + 89.63 ÷ 965.4 - 896.3/9.654 +8.963 = ______.
(A) 10–2
(B) 10–1
(C) 10
(D) None of these
Answer : A

Question. A boy was asked to write the value of (2)⁵ × (9)². He wrote it as 2592. The difference between the obtained value and the actual value is _____.
(A) 0
(B) 2 × 92
(C) 22 × 93
(D) 23 × 94
Answer : A

Question. The value of

(A) 1
(B) 1(1/3)
(C) 2(2/3)
(D) 3
Answer : C

Question. If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is subtracted from the number and then it is divided by 5?
(A) 9(2/3)
(B) 10
(C) 10(1/5)
(D) 11(1/5)
Answer : B

Question. In the figure (not drawn to scale), ABCD is a parallelogram, BFE is a right-angled triangle and GAD is a straight line. Find ∠x.

(A) 30°
(B) 31°
(C) 32°
(D) 33°
Answer : B

Question. Two numbers are in the ratio 1 : 2. If 7 is added to both, their ratio changes to 3 : 5. The greater number is ______.
(A) 24
(B) 26
(C) 28
(D) 32
Answer : C

DIRECTION (a - b) : The given graph shows the amount of rainfall for each month from January to June. Study the graph and answer the following questions.

Question a. In which two months is the amount of rainfall in the ratio 1 : 6?
(A) June and February
(B) June and January
(C) February and May
(D) May and June
Answer : B

Question b. What is the amount of rainfall in July if it is 35% of the amount of rainfall in April?
(A) 8 cm
(B) 7 cm
(C) 6 cm
(D) 5 cm
Answer : B

Question. What should be the least number of years in which the simple interest on ₹ 2600 at 6(2/3)% will be an exact number of rupees?
(A) 2
(B) 3
(C) 4
(D) 5
Answer : B

Question. What is the total shaded area of the figure?

(A) 47 sq. cm
(B) 48 sq. cm
(C) 49 sq. cm
(D) 50 sq. cm
Answer : B

Question. Three unbiased coins are tossed. What is the probability of getting at least 2 heads?
(A) 1/4
(B) 1/2
(C) 1/3
(D) 1/8
Answer : B

Question. A rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 75 paise per sq. metre is _____.
(A) ₹ 254.50
(B) ₹ 258
(C) ₹ 262.50
(D) ₹ 270
Answer : B

Question. The value of 12.1212 + 17.0005 – 9.1102 = ______.
(A) 20.0015
(B) 20.0105
(C) 20.0115
(D) 20.1015
Answer : C

Question. Which natural number is nearest to 8485, which is completely divisible by 75?
(A) 8475
(B) 8500
(C) 8550
(D) 8525
Answer : A

Question. Find the value of the expression 1152 + (–118) + (–32) – (–13) + (–56) – (–2183) – 5.
(A) 1337
(B) 3137
(C) 3317
(D) 7131
Answer : B

SECTION-III : EVERYDAY MATHEMATICS

Question. If 2 tables and 3 chairs costs ₹ 3500 and 3 tables and 2 chairs costs ₹ 4000, then how much does a table cost?
(A) ₹ 500
(B) ₹ 750
(C) ₹ 1000
(D) ₹ 1500
Answer : C

Question. A cricket team won 3 matches more than they lost. If a win gives them 2 points and loss (–1) point, how many matches, in all, have they played if their score is 23?
(A) 17
(B) 20
(C) 37
(D) 40
Answer : C

Question. A team of 8 persons joins in a shooting competition. The best shooter scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was _____.
(A) 588
(B) 645
(C) 665
(D) 672
Answer : C

Question. The ratio between the ages of Neelam and Shaan is 5 : 6 respectively. If the ratio between one-third age of Neelam and half of Shaan's age is 5 : 9, then what is the age of Shaan?
(A) 25 years
(B) 30 years
(C) 36 years
(D) Cannot be determined
Answer : D

Question. Peter purchased a machine for ₹ 80,000 and spent ₹ 5000 on repairs and ₹ 1000 on transport and sold it with 25% profit. At what price did he sell the machine?
(A) ₹ 1,05,100
(B) ₹ 1,06,250
(C) ₹ 1,07,500
(D) ₹ 1,17,500
Answer : C

Question. A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
(A) 26 minutes 18 seconds
(B) 42 minutes 36 seconds
(C) 45 minutes
(D) 46 minutes 12 seconds
Answer : D

Question. A man invested 1/3 of his capital at 7%; 1/4 at 8% and the remainder at 10%. If his annual income is ₹ 561, the capital is ______.
(A) ₹ 5400
(B) ₹ 6000
(C) ₹ 6600
(D) ₹ 7200
Answer : C

Question. What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of ₹ 10 per square metre?
(A) ₹ 1700
(B) ₹ 3400
(C) ₹ 3440
(D) Cannot be determined
Answer : C

Question. A fruitseller sells mangoes at the rate of ₹ 9 per kg and thereby loses 20%. At what price per kg, he should have sold them to make a profit of 5% ?
(A) ₹ 11.81
(B) ₹ 12
(C) ₹ 12.25
(D) ₹ 12.31
Answer : A

Question. In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present?
(A) 17/25
(B) 18/49
(C) 23/30
(D) 23/36
Answer : C