CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set B

LOGICAL REASONING

Question. A is father of X; B is mother of Y. Sister of X and Z is Y. Which of the following statements is definitely not true?
A. B is the mother of Z
B. X is the sister of Z.
C. Y is the son of A.
D. B has one daughter.
Answer : C

Question. Seven friends P, Q, R, S, T, U and V are standing in a line, facing garden. T is somewhere ahead of U. There is exactly one person standing between R and V. S is immediately behind P. U is behind both Q and S. If S and R are fourth and fifth respectively in the line, then which of the following must be true?
A. P is first
B. Q is first
C. U is sixth
D. U is seventh
Answer : C

Question. Select the combination of numbers so that the letters are arranged accordingly to form a meaningful word.
H B M R S U O
1  2 3   4 5 6  7
A. 3, 4, 2, 7, 6, 1, 5
B. 5, 2, 7, 1, 4, 6, 3
C. 4, 1, 7, 3, 2, 6, 5
D. 4, 1, 7, 3, 2, 5, 6
Answer : C

Question. How many 1's are there in the following sequence of numbers which are immediately followed by 2, if 2 is not immediately followed by 3?
1 2 1 3 4 5 1 2 3 5 2 1 2 6 1 4 5 1 1 2 4 1 2 3 2 1 7 5 2 1 2 5
A. 2
B. 4
C. 5
D. 7
Answer : B

Question. Select the pair which satisfies the same conditions of placement of dots.

A. PQ
B. QR
C. PR
D. None of these
Answer : A

Question. Find the missing figure which will continue the given series.

Answer : B

Question. Select the correct mirror image of Fig. (X), if the mirror is placed vertically to the right

Answer : B

Question. Select the figure from the options which is not exactly embedded in the given Fig. (X) as one of its part.

Answer : B

Question. The net of a cube is given below. Identify the cube formed from the given net.

Answer : A

Question. A clock is so placed that at 12 noon its minute hand points towards North-East. In which direction does its hour hand point at 1.30 p.m.?
A. North
B. South
C. East
D. West
Answer : C

Question. Given below three figures (X), (Y) & (Z) shows a sequence of folding of a piece of paper. Figure (Z) shows the manner in which the folded paper has been cut. Select the unfolded form of piece of paper

Answer : C

Question. The given set of figures carry certain characters. Assuming that the characters in each set follow a similar rule, identify the rule and find the missing character.

A. 51
B. 53
C. 49
D. 41
Answer : B

Question. Which of the following Venn diagrams depicts the relationship amongst, "Prism, Cuboid, Triangle"?

Answer : C

Question. If 'P' means '+', 'Q' means '×', 'R' means '÷' and 'S' means '–', then 81 R 3 S 15 P 5 Q 0 is _____.
A. Equal to 0
B. Less than –1
C. Greater than 2
D. Less than 0
Answer : C

Question. Count the number of squares in the given figure.

A. 60
B. 66
C. 56
D. 36
Answer : B

MATHEMATICAL REASONING

Question. Simplify : [15 ÷ 3 + 10{60 – 8 ÷ 4 + 3(5 of 3 – 7)}]
A. –20
B. –15
C. 12
D. 16
Answer : B

Question. Arrange the shaded fraction of following figures in ascending order.

A. P, Q, R, S
B. S, Q, R, P
C. Q, R, P, S
D. R, S, Q, P
Answer : B

Question. Find the values of P, Q and R in the given division.

    P  Q  R
A. 6  3   4
B. 3  6   8
C. 3  6   4
D. 6  3   8
Answer : B

Question. The given figure shows three identical squares.
Find x.

A. 30°
B. 27°
C. 36°
D. 16°
Answer : B

Question. Solve for x.
3(2x – 1) + 25% of x = 97
A. 20
B. 24
C. 12
D. 16
Answer : D

Question. Figure (X) has rotational symmetry of order _____.

A. 1
B. 2
C. 3
D. 4
Answer : D

Question. How many minutes are there in 1(3/4)hr ?
A. 75 minutes
B. 105 minutes
C. 115 minutes
D. 95 minutes
Answer : B

Question. A square, whose side is 4 metres, has its corners cut away so as to form an octagon with all sides equal. Find the length of each side of the octagon (in metres).
A. (4 2 −1)
B. −2√2/1+2-2
C. 2√2/1− 2√2
D. 2√2/(1+ 2√2)
Answer : A

Question. In the given calculation, the answer 11418 is incorrect due to a mistake in one of the digits. The incorrect digit is _______.

A. 0 in step-1
B. 1 in step-1
C. 0 in step-2
D. 1 in step-2
Answer : C

Question. The given bar graph shows heights of selected lakes.
Find the difference in elevation for Lake E and Lake C.

A. 420 m
B. 604 m
C. 504 m
D. 692 m
Answer : B

Question. Which of the following statements is true?
A. When we multiply two integers their product is always greater than both the integers.
B. Integers are not closed under multiplication.
C. 99 × 101 can be written as (100 – 1) × (100 + 1).
D. When we change the order of integers their difference remains the same.
Answer : C

Question. The letters written on paper slips of the word MATHEMATICS are put in a bag. If one slip is drawn randomly, what is the probability that it bears the letter M?
A. 3/11
B. 2/5
C. 7/9
D. 2/11
Answer : D

Question. In the given figure, PQ, RS and UT are parallel lines. If c = 75° and a = (2/5)c, find b + d/2.

A. 92°
B. 115°
C. 112.5°
D. 135.5°
Answer : C

Question. 25% of 50% of 100 / 25% of 100% x 50% of 100 is equal to _____.
A. 0.0001%
B. 0.1%
C. 0.01%
D. 1%
Answer : A

Question. People of a village take good care of plants, trees and animals. They marked some land for their pets (cow and ox) and plants. Find the ratio of the areas kept for animals and plants to the total area of the village.

A. 75:21
B. 125:39
C. 29:150
D. 29:121
Answer : C

Question. If 9 is added to four times a number, it becomes the same as 3 is subtracted from five times the same number. This fact can be represented as _______.
A. 5x + 9 = 4x + 3
B. 9x + 4 = 3x – 5
C. 9 + 4x = 3 – 5x
D. 4x + 9 = 5x – 3
Answer : D

Question. Which of the following statements is INCORRECT?
A. Mean, Median and Mode may be same for some data.
B. The probability of getting an ace out of a deck of cards is less than 1.
C. Mean of the data is always from the given data.
D. Median of the data may or may not be from the given data.
Answer : C

Question. Diameter of Earth is 12756000 m. Few years ago, a new planet was discovered whose diameter is 5/43 of the diameter of Earth. Find the radius of this planet (in km).
A. 925.33
B. 428.92
C. 741.63
D. 892.99
Answer : C

Question. Given below are heights of 15 girls of class VIII measured in cm : 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. Find
a. The range of the given data.
b. The median height of the girls.
a (in cm) b (in cm)
A. 26 142
B. 30 144
C. 140 28
D. 21 140
Answer : A

Question. The three scales below are perfectly balanced if ★ = 5. What are the values of D and ● respectively?

A. 8.75, 3.75
B. 4.25, 5.75
C. 9.25, 5.55
D. 2.12, 4.72
Answer : A

EVERYDAY MATHeMATICS

Question. A milkman buys milk at ₹ 7, ₹ 8 and ₹ 8 per litre for three successive years. What approximately is the average cost per litre of milk if he spends ₹ 4000 each year?
A. ₹ 7.98
B. ₹ 8
C. ₹ 8.50
D. ₹ 7.64
Answer : D

Question. Two pens and three pencils cost ₹ 86. Four pens and a pencil cost ₹ 112. Find the cost of a pen and pencil respectively.
A. ₹ 15, ₹ 8
B. ₹ 25, ₹ 12
C. ₹ 30, ₹ 8
D. ₹ 20, ₹ 21
Answer : B

Question. Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7 : 9, then how old is Sachin?
A. 16 years
B. 18 years
C. 14 years
D. None of these
Answer : C

Question. You have ₹ 1500 in your savings account at the beginning of the month. The record below shows all of your transactions during the month. How much money is in your account after these transactions?
Date       Withdraw    Deposit
4/9/14       ₹ 1200       ₹ 2000
22/9/14     ₹ 2100       ₹ 2500
A. ₹ 2000
B. ₹ 3100
C. ₹ 2500
D. ₹ 2700
Answer : D

Question. A multi storey building has 35 floors above the ground level each of height 7.5 m. It also has 3 floors in the basement each of height 5 m. A lift in building moves at a rate of 1 m/s. If a man starts from 50 m above the ground, how long will it take him to reach at 3rd floor of basement?
A. 40 sec
B. 65 sec
C. 68 sec
D. 32 sec
Answer : B

Question. It takes 12(1/3)m of cloth to make a pattern. How many patterns can Latika make from a piece of cloth 49(1/3)m long?
A. 4
B. 5
C. 3
D. 6
Answer : A

Question. In a school, only 2 out of 5 students can participate in a quiz. What is the chance that a student picked at random makes it to the competition?
A. 20%
B. 40%
C. 50%
D. 30%
Answer : B

Question. In a quiz, Priya gets half the marks as that of Riya. Two times Priya's marks and three times Riya's marks make 320. How many marks Priya obtained?
A. 34
B. 90
C. 80
D. 40
Answer : D

Question. Garima and Mohit deposited ₹ 3000 and ₹ 4000 in a company at the rate of 10% per annum for 3 years and 2(1/2) years respectively. The difference of the amounts received by them will be
A. ₹ 100
B. ₹ 1000
C. ₹ 900
D. ₹ 1100
Answer : D

Question. In a furniture shop, 30 tables were bought at the rate of ₹ 400 per table. The shopkeeper sold 18 of them at the rate of ₹ 600 per table and the remaining at the rate of ₹ 500 per table. Find the gain or loss percent of the shopkeeper.
A. 44% gain
B. 28.57% loss
C. 40% gain
D. 32.33% loss
Answer : C

ACHIEVERS SECTION

Question. In a quiz, 40 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2500 and ₹ 1500, respectively. If the total prize money is ₹ 85,000, then
(i) The equation formed is
(ii) The number of 1st prizes are
(iii) The number of 2nd prizes are
                        (i)                                (ii)     (iii)
A. 2500x + 1500(40 – x) = 85000      25      15
B. 2500x – 1500(40 – x) = 85000      36        4
C. 2500x × 1500(x – 40) = 85000      20      20
D. 2500x – 1500(x – 40) = 85000      15      25
Answer : A

Question. Study the given statements.
Statement-I : e and h are supplementary angles.
Statement-II : c and g are equal angles.

A. Both statement-I and statement-II are true.
B. Statement-I is true and statement-II is false.
C. Statement-I is false and statement-II is true.
D. Both statement-I and statement-II are false.
Answer : C

Question. Match the following.

A. (i)-(e), (ii)-(d), (iii)-(b), (iv)-(a), (v)-(c)
B. (i)-(d), (ii)-(e), (iii)-(b), (iv)-(a), (v)-(c)
C. (i)-(a), (ii)-(b), (iii)-(c), (iv)-(d), (v)-(e)
D. (i)-(d), (ii)-(b), (iii)-(e), (iv)-(c), (v)-(a)
Answer : B

Question. Fill in the blanks with P(Percentage), F(Fraction),
D(Decimal) on the number line.

        P       D        F
A. 40%    0.5     7/10
B. 30%    0.6     7/10
C. 35%    0.8     3/8
D. 48%    0.7     4/9
Answer : A

Question. The expression for the number of diagonals that we can make from one vertex of a n sided polygon is
A. 2n + 1
B. n – 2
C. 5n + 2
D. n – 3
Answer : D