CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set K

SECTION I : LOGICAL REASONING

Question. If the first and sixth letters in the word 'COMPROMISE' are interchanged, also the second and seventh letters are interchanged and so on, which letter will be seventh letter from the right?
(A) I
(B) S
(C) E
(D) R
Answer : B

Question. If in a certain code VOWEL is coded as 46553, then how will CONSONANT be coded ?
(A) 365165152
(B) 365164152
(C) 365154152
(D) 365164162
Answer : A

Question. Arrange the given words in a meaningful sequence and find the correct answer from the options.
1. Poverty 2. Population 3. Death 4. Unemployment 5. Disease
(A) 2, 3, 4, 5, 1
(B) 3, 4, 2, 5, 1
(C) 2, 4, 1, 5, 3
(D) 1, 2, 3, 4, 5
Answer : C

Question. Choose the figure which is different from the rest.

Answer : D

Question. In the given series what will replace the question mark?
J/8, P/14, Q/15, W/21 __?_
(A) S/17
(B) T/19
(C) Z/25
(D) X/22
Answer : D

Question. Choose the correct mirror-image of the given figure (X) if the mirror is placed along MR.

Answer : D

Question. Pointing to a boy, Meena said, "He is the son of my grandfather's only child." How is the boy related to Meena?
(A) Brother
(B) Cousin
(C) Uncle
(D) Data inadequate
Answer : A

Question. A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point ?
(A) 5 metres
(B) 10 metres
(C) 20 metres
(D) 15 metres
Answer : A

Question. Choose the figure which is different from the rest.

Answer : C

Question. The given question consists of two sets of figures. Figures 1, 2, 3 and 4 constitute 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).

Answer : B

Question. Choose the figure from the options in which the given fig. (X) is embedded.

Answer : A

Question. A bus for Mumbai leaves every 40 minutes from a bus stand. An enquiry clerk told a person that the bus had already left 10 minutes ago and the next bus will leave at 10 :45 a.m. At what time was this information given to the man?
(A) 10 : 05 a.m.
(B) 9 : 55 a.m.
(C) 10 : 35 a.m.
(D) 10 :15 a.m.
Answer : D

Question. P, Q, R and T appeared in an examination. Marks obtained by P were less than the marks obtained by Q. R's marks were more than those of Q but not more than the marks obtained by T. Who got the second highest marks ?
(A) P
(B) T
(C) R
(D) Q
Answer : C

Question. A piece of sheet is folded and cut and then unfolded. One of the four options exactly resembles the unfolded paper. Select the correct option.

Answer : B

Question. Find the figure from the options which completes the Fig. (x).

Answer : C

Question. P, Q, R, S, T, U, V and W are sitting in a circle and are facing the centre.
(i) P is second to the right of T who is the neighbour of R and V.
(ii) S is not the neighbour of P .
(iii) V is the neighbour of U
(iv) Q is not between S and W. W is not between U and S.
Which of the following are not neighbours ?
(A) RV
(B) UV
(C) RP
(D) All of these
Answer : A

Question. Which number will replace the question mark in given figure?

(A) 45 
(B) 29
(C) 39
(D) 37
Answer : C

Question. Find the figure from the options which will continue the series established by the problem figures.

Answer : D

Question. What is the number which is just before the middle number between 29 and 39?
(A) 32
(B) 35
(C) 34
(D) 33
Answer : D

Question. Find the figure from the options which will continue the series established by the problem figures.

Answer : D

SECTION II : MATHEMATICAL REASONING

Question. What is the largest possible two digit number by which 2179782 can be divided?
(A) 88
(B) 50
(C) 66
(D) 99
Answer : D

Question. In the given figure, ABC, BD = CD = AC, m∠ABC = 27°, m∠ACD = y. Find the value of y.

(A) 27°
(B) 54°
(C) 72°
(D) 58°
Answer : C

Question. The sum of 9 numbers is 246. If the average of three of them is 24, what is the average of the remaining numbers ?
(A) 30
(B) 29
(C) 31
(D) 25
Answer : B

Question. If 1/3 is subtracted from a number and the difference is multiplied by 3, the result is 4. What is the number ?
(A) 5/3
(B) 7/3
(C) 7/4
(D) 5/2
Answer : A

Question. The radius of the given circle is 7 cm, then the area of the shaded portion is ______.

(A) 129.5 cm²
(B) 128 cm²
(C) 117 cm²
(D) 135 cm²
Answer : A

Question. The value of x so that (8/5)³ X (8/5)^-6 = (5/8)^1-2 is ______.
(A) 0
(B) 1
(C) – 1
(D) 2
Answer : C

Question. The area of rectangle ABCD is 48 cm². What is the area of the shaded triangle ?

(A) 72 cm²
(B) 36 cm²
(C) 32 cm²
(D) 60 cm²
Answer : B

Question. The difference between the sum of even numbers and sum of odd numbers between 10 and 20 is ______.
(A) 13
(B) 14
(C) 15
(D) 16
Answer : C

DIRECTION (Q.No. a - b) : Study the following graph carefully and answer the questions given below .

Question. What is the ratio of the number of females from universities P and Q together to the number of males in universities R and T together ?
(A) 27 : 32
(B) 27 : 28
(C) 25 : 28
(D) 28 : 27
Answer : B

Question. The number of males in University Q are what percent of the total number of students in university S ?
(A) 62
(B) 66
(C) 64
(D) None of these
Answer : C

Question. A fraction x/y can be expressed as a terminating decimal if y has no prime factors other than______.
(A) 2, 3
(B) 3, 5
(C) 2, 5
(D) 2, 3, 5
Answer : C

Question. Find the sum of ∠ a, ∠b, ∠ c and ∠d.

(A) 280°
(B) 290°
(C) 360°
(D) 240°
Answer : B

Question. In the given figure, l ||m. If s and t be transversals such that s is not parallel to t, find the values of x + y.

(A) 205°
(B) 105° 45°
(C) 75°
(D) 255°
Answer : D

Question. If m = 4pq/p+q, then the value of m+p/m-2p + m+2q/m-2q = _____.
(A) 2
(B) 4
(C) 2mpq/(p + q)
(D) None of these
Answer : A

Question. If 45 – [28 – {37 – (15 – k)}] = 58, then the value of k is ______.
(A) 19
(B) –19
(C) –39
(D) None of these
Answer : A

Question. In the given figure, if AB = AC, then ∠ACB – ∠DBF is _____.

(A) 30°
(B) 20°
(C) 10°
(D) 15°
Answer : D

Question. Which of the following is not a rational number between 5/7 and 7/8?
(A) 6/7
(B) 2/3
(C) 4/5
(D) 3/4
Answer : B

Question. If two sides of an isosceles triangle are 3 cm and 8 cm, then the length of the third side is ______.
(A) 2 cm
(B) 8 cm
(C) 3 cm
(D) 1 cm
Answer : B

Question. How many numbers between 11 and 111 are multiples of both 2 and 5?
(A) 10
(B) 12
(C) 11
(D) 70
Answer : A

Question. Simplify : (a³ – 2a² + 4a – 5) – (– a³ – 8a + 2a² + 5)
(A) 2a³ + 7a² + 6a – 10
(B) 2a³ + 7a² + 12a – 10
(C) 2a³ – 4a² + 12a – 10
(D) 2a³ – 4a² + 6a – 10
Answer : C

SECTION III : EVERYDAY MATHEMATICS

Question. At present, the ratio of the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?
(A) 12 years
(B) 15 years
(C) 19(1/2)years
(D) 21 years
Answer : B

Question. By selling a bicycle for ₹ 3480 a person loses 25%. What is the cost price of the bicycle?
(A) ₹ 2610
(B) ₹ 4300
(C) ₹ 4320
(D) ₹ 4640
Answer : D

Question. A dealer sold three-fourth of his articles at a gain of 20% and the remaining at cost price. Find the gain earned by him in the whole transaction.
(A) 20 %
(B) 25 %
(C) 15 %
(D) 30 %
Answer : C

Question. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students does not get the scholarship ?
(A) 56
(B) 70
(C) 78
(D) 80
Answer : C

Question. A man took a loan from a bank at the rate of 12% per annum simple interest. After 3 years he had to pay ₹ 5400 interest for the period. The principal amount borrowed by him was _____.
(A) ₹ 2000
(B) ₹ 10,000
(C) ₹ 15,000
(D) ₹ 20,000
Answer : C

Question. A light was seen at intervals of 3 minutes. It was seen for the first time at 9:04 a.m. and the last time at 12:07 p.m. How many times was the light seen in the interval?
(A) 62
(B) 59
(C) 60
(D) 61
Answer : D

Question. A student gets 4 marks for a correct answer and 1 mark is deducted for a wrong answer. If she has done 80 questions in all and she has got only 240 marks, the correct answers she has attempted is ______.
(A) 40
(B) 60
(C) 64
(D) Can't be determined
Answer : C

Question. In a single throw of a die, what is the probability of getting a number greater than 4?
(A) 1/2
(B) 1/3
(C) 2/3
(D) 1/4
Answer : B

Question. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks.
The maximum marks are ______.
(A) 300
(B) 500
(C) 800
(D) 1000
Answer : B

Question. Dhruv and Hemant had 60 marbles altogether. After Hemant lost 1/6 of his marbles to Dhruv, Dhruv had twice as many marbles as Hemant. How many marbles did Dhruv have at first ?
(A) 30
(B) 24
(C) 36
(D) 25
Answer : C