CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set O

SECTION-I : LOGICAL REASONING

Question. If every third letter from the English alphabets is dropped, which letter will be fourth to the right of fourteenth letter from your right?
(A) M
(B) N
(C) E
(D) A
Answer : A

Question. Select which of the following options will be the mirror image of the given word, if the mirror is placed vertically to the left.

Answer : C

Question. Choose the odd-one out.
(A) 49
(B) 85
(C) 36
(D) 81
Answer : B

Question. How will you code ACCOMMODATE if S and V are coded as 8 and 5 respectively?
(A) 26-24-24-12-14-14-12-23-22-26-7
(B) 26-24-24-12-14-14-12-23-26-7-22
(C) 2-25-25-12-7-14-14-23-26-22-12
(D) 26-24-12-14-7-14-23-21-26-22-8
Answer : B

Question. Find out the wrong term in the given series.
196, 169, 144, 121, 80
(A) 80
(B) 121
(C) 169
(D) 196
Answer : A

Question. Select a figure from the options that forms a correct water image of the given figure.

Answer : D

Question. Two rows of numbers are given. The resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations of numbers progress from left to right.
Rules :
(i) If a two-digit odd number is followed by a two-digit odd number they are to be added.
(ii) If a two-digit even number is followed by a two-digit odd number which is a perfect square, the digit number is to be subtracted from the odd number.
(iii) If a three-digit number is followed by a two-digit number the first number is to be divided by the second number.
(iv) If a prime number is followed by an even number the two are to be added.
(v) If an even number is followed by another even number the two are to be multiplied.
                         16       8        32
                        132     11       X2
If X is the resultant of the first row, what is the resultant of the second row?
(A) 192
(B) 128
(C) 132
(D) 144
Answer : A

Question. Select a figure from the options which will form a series established by the Problem figures.

Answer : B

Question. In the given figure, if the centres of all the circles are joined by horizontal and vertical lines, then find the total number of squares that can be formed.

(A) 6
(B) 7
(C) 8
(D) 10
Answer : C

Question. If 'A + B' means A is the father of B, 'A – B' means A is the brother of B, 'A ÷ B' means A is the wife B and 'A × B' means A is the mother of B, then which of the following represents M is the maternal grandmother of T?
(A) M × N ÷ S + T
(B) M × N – S ÷ T
(C) M × S – N ÷ T
(D) M × N × S ÷ T
Answer : A

Question. Select a figure from the options which indicates the correct relationship between the three given words.

Answer : C

Question. Select a figure from the options which contains Fig. (X) as its part.

Answer : A

Question. Five friends A, B, C, D and E are standing in a row facing north but not necessarily in the same order. Only B is between A and E, C is immediate right to E, and D is immediate left to A. On the basis of above information, which of the following statements is definitely true?
(A) B is to the right of E.
(B) A is second to the left of C.
(C) D is third to the left of E.
(D) B is to the left of A.
Answer : C

Question. Group the given figures into three classes using each figure only once.

(A) 1, 2, 3; 4, 5, 6; 7, 8, 9 1
(B) 1, 3, 5; 2, 4, 6; 7, 8, 9
(C) 1, 5, 9; 3, 6, 2; 4, 7, 8
(D) 1, 9, 7; 2, 8, 5; 3, 4, 6
Answer : A

Question. In the given question,
Δ means ≠
÷ means ≥
⬜ means ≤
= means <
+ means >
× means =
If a + b and b + c then_____.
(A) c ÷ a
(B) a = c
(C) a⬜c
(D) c = a
Answer : D

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

Answer : D

Question. A man is facing west. He turns 45° in the clockwise direction and then another 180° in the same direction and then 270° in the anticlockwise direction. Which direction is he facing now?
(A) South
(B) North-West
(C) West
(D) South-West
Answer : D

Question. Consider the figures X, Y and Z showing a sheet of paper folded and punched on the sheet of paper. Select a figure from the options which will most closely resemble the pattern unfolded position of figure.

Answer : D

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

Answer : C

Question. Two positions of a dice is given below. Look at them carefully assuming the pictures to be correct and answer the question.

Which figure is on the face indicated by the arrow #1?
(A) ⚪
(B) ⚫
(C) ⬛
(D) ⬜
Answer : D

SECTION-II : MATHEMATICAL REASONING

Question. Find the largest 5-digit number which is completely divisible by 89.
(A) 99947
(B) 99999
(C) 99936
(D) 99942
Answer : A

Question. The minimum number of factors of a given number is _____ and a multiple of a given number is divisible by the _____.
(A) 1, given number
(B) 2, given number
(C) 2, multiples of given number
(D) 1, multiples of given number
Answer : B

Question. The length, breadth and height of a room are 9 m 10 cm, 7 m 80 cm and 3 m 90 cm respectively.
Find the greatest length of a tape which can be used to measure the dimensions of the room in exact number of times.
(A) 1m 16 cm
(B) 1m 30 cm
(C) 1m 90 cm
(D) 1m 60 cm
Answer : B

Question. The value of 63.7– 28.89 + 76.4 – 37.66 is _____.
(A) 73.50
(B) 73.52
(C) 73.55
(D) 73.58
Answer : C

Question. The descending order of XX, XXXVI, V is _____.
(A) V, XXXVI, XX
(B) XX, V, XXXVI
(C) V, XX, XXXVI
(D) XXXVI, XX, V
Answer : D

Question. What least number should be added to 1410 to get a number exactly divisible by 43 ?
(A) 9
(B) 1
(C) 3
(D) 7
Answer : A

Question. If l || m and PQ is a transversal, then which of the following is false?

(A) ∠b = ∠g
(B) ∠a = ∠h
(C) ∠a = ∠g
(D) ∠f + ∠h = 180°
Answer : C

Question. The given solid is made up of identical blocks. How many such blocks are required to make the given solid?

(A) 14
(B) 20
(C) 17
(D) 15
Answer : D

Question. The value of –297 – (–7) – 428 – (–18) + (–62) is _______.
(A) –2152
(B) –228
(C) –258
(D) –762
Answer : D

Question. If perimeter of the given figure is 68.3 cm, then the sum of x + y is ____.

(A) 8.6 cm
(B) 8.1 cm
(C) 8.4 cm
(D) 9.8 cm
Answer : D

Question. The given picture is shaded to represent a fractional number.

(A) 5
(B) 6
(C) 8
(D) 10
Answer : D

DIRECTION (a - b) : Read the following graph and answer the questions below.

Question a. Which month has maximum sale?
(A) April
(B) July
(C) August
(D) Data inadequate
Answer : C

Question b. If the total sale is 325000 then total sales in March and November is ______.
(A) 40000
(B) 50000
(C) 45000
(D) 55000
Answer : D

Question. Find the value of (P + Q) × (R + S).

(A) 1
(B) 3(2/9)
(C) 2
(D) 1(2/9)
Answer : B

Question. When Garima multiplies a certain number by 19 and adds 9 to the product, she gets 313. Find the number.
(A) 13
(B) 14
(C) 15
(D) 16
Answer : D

Question. In a ΔABC, if 3∠A = 4 ∠B = 6∠C, then ∠A + ∠B – 3∠C =
(A) 70°
(B) 40°
(C) 20°
(D) 60°
Answer : C

Question. The area of the unshaded region in the figure is ______.

(A) 207 m²
(B) 158 m²
(C) 256 m²
(D) 196 m²
Answer : D

Question. If ......... km : 10 km = 9000 paise : ₹ 3, then box contains_____.
(A) 500
(B) 600
(C) 900
(D) 300
Answer : D

Question. The sum of four girls is 57 years and their ages are in the proportion 3 : 4 : 5 : 7. The difference between the age of eldest and youngest girl is _____.
(A) 8 years
(B) 10 years
(C) 12 years
(D) 15 years
Answer : C

Question. In DABC, AB = AC and AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Then, DABC is symmetrical about ______.
(A) AD
(B) BE
(C) CF
(D) None of these
Answer : A

SECTION-III : EVERYDAY MATHEMATICS

Question. The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
(A) 91
(B) 910
(C) 1001
(D) 1911
Answer : A

Question. The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was ₹ 4.20 and that of Y was ₹ 6.30, in which year commodity X will cost 40 paise more than the commodity Y?
(A) 2010
(B) 2011
(C) 2012
(D) 2013
Answer : B

Question. Water boils at 212°F or 100°C and melts at 32°F or 0°C. If the temperature of a particular day is 35°C, it is equivalent to_____.
(A) 85°F
(B) 90°F
(C) 95°F
(D) 99°F
Answer : C

Question. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is _____.
(A) 35.2
(B) 36.1
(C) 36.5
(D) 39.1
Answer : C

Question. The total ages of A and B is 12 years more than the total ages of B and C. C is how many years younger than A?
(A) 12 years
(B) 24
(C) C is elder than A
(D) Data inadequate
Answer : A

Question. The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who are not adults is _____.
(A) 58%
(B) 67.5%
(C) 78%
(D) 82.5%
Answer : C

Question. A man bought a number of clips at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen should he sell them to make a profit of 20%?
(A) ₹ 4
(B) ₹ 5
(C) ₹ 6
(D) ₹ 7
Answer : C

Question. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is _____.
(A) 20 litres
(B) 30 litres
(C) 40 litres
(D) 60 litres
Answer : D

Question. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is _____.
(A) 10%
(B) 10.08%
(C) 20%
(D) 28%
Answer : D

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 15 seconds, B in 30 seconds and C in 18 seconds, all starting at the same point. After what time will they meet again at the starting point?
(A) 26 minutes
(B) 140 seconds
(C) 90 minutes
(D) 1 minute 30 seconds
Answer : D