CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set N

SECTION I : LOGICAL REASONING

Question. In the given arrangement some symbols are there each of which is preceded by a digit and some digits are there each of which is preceded by a symbol. What is total number of both these ?
9 V @ S 2 G R A 3 Q £ B Z 7 C Y D T 4 * P F 6 @ $ 5 E H B J d
(A) 3
(B) 1
(C) 2
(D) None of these
Answer : D

Question. If city is called village, village is called forest, forest is called sofa, sofa is called freeze and freeze is called bathroom, then where do deer live ?
(A) Village
(B) Sofa
(C) Freeze
(D) Forest
Answer : B

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

Answer : B

Question. Find the wrong term in the given series : 2, 3, 8, 28, 112, 565
(A) 3
(B) 28
(C) 8
(D) 112
Answer : B

Question. With the help of given diagram, find how many persons take tea and wine but not coffee.

(A) 20
(B) 17
(C) 25
(D) 15
Answer : B

Question. Introducing Suchi, Naman says, ‘‘She is the wife of only nephew of only brother of my mother.’’ How is Suchi related to Naman ?
(A) Wife
(B) Sister
(C) Sister-in-law
(D) Son-in-law
Answer : A

Question. Find the missing number in the adjoining table.

(A) 94
(B) 76
(C) 16
(D) 73
Answer : A

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

Answer : A

Question. Three out of these figures are similar in a certain way. Find the figure which is different from the rest.

Answer : D

Question. How many pairs of letters are there in the word PURPOSEFUL which have as many letters between them in the word as in the English alphabet ?
(A) One
(B) Two
(C) Three
(D) Four
Answer : D

Question. The length and breadth of a room are 8 m and 6 m respectively. A cat runs along side all the four walls and finally along a diagonal in order to catch a rat. How much total distance is covered by the cat ?
(A) 10 m
(B) 14 m
(C) 38 m
(D) 48 m
Answer : C

Question. At a party P, Q, R, S and T are sitting in a circle. The group comprises an officer, an industrialist and a businessman. The businessman is sitting in between the industrialist and his wife S. P is an officer married to T who is the sister of Q. The industrialist is seated to the right of R. Both the ladies are unemployed. Who among them is a graduate ?
(A) P
(B) Q
(C) R
(D) Data inadequate
Answer : D

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

Answer : C

Question. Six friends P, Q, R, S, T and U are sitting around a hexagonal table each at one corner. P is second to the left of U. Q is the neighbour of R and S. T is second to the left of S. Who among the following are the neighbours of P ?
(A) U and P
(B) T and R
(C) U and R
(D) None of these
Answer : B

Question. Select a figure from amongst the options, which when placed in the blank space would complete the pattern in Fig. (x).

Answer : D

Question. In a row of students Rakesh is 12th from the left and Kartik is 17th from the right. When they interchange their positions Kartik becomes 27th from the right. How many students are there between Kartik and Rakesh?
(A) 9
(B) 12
(C) 7
(D) 10
Answer : A

Question. In the following sequence how many 8’s are there each of which is preceded by an odd number, but not followed by an even number ?
7 8 2 8 9 3 8 5 2 3 8 4 7 8 1 9 8 8 5
(A) 3
(B) 2
(C) 5
(D) 1
Answer : B

Question. In the given sequence, how many unshaded circles will there be in pattern 99?

(A) 98
(B) 100
(C) 96
(D) 95
Answer : B

Question. If ‘–’ stands for division, ‘+’ stands for multiplication, ‘÷’ stands for subtraction and ‘×’ for addition, then which one of the following equations is correct ?
(A) 6 ÷ 20 × 12 + 7 – 1 = 70
(B) 6 + 20 – 12 ÷ 7 + 1 = 62
(C) 6 – 20 ÷ 12 × 7 + 1 = 57
(D) 6 + 20 – 12 ÷ 7 – 1 = 38
Answer : A

Question. The given question consists of two sets of figures. Figures (i), (ii), (iii) and (iv) constitute the problem set. There is a definite relationship between figures (i) and (ii). Establish a similar relationshipbetween figures (iii) and (iv) by selecting a suitable figure from the options that would replace (?)in figure (iv).

Answer : A

SECTION II : MATHEMATICAL REASONING

Question. Find the average of all the odd numbers from 1 to 16.
(A) 4
(B) 9
(C) 8
(D) 17
Answer : C

Question. What is the missing number that shall go in the box?
600.051 = 600 + ⬜ + 0.001
(A) 0.005
(B) 0.05
(C) 0.5
(D) 5
Answer : B

Question. Which one of the following statements is true?
(A) If a number is divisible by 3, it must be divisible by 9.
(B) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.
(C) A number is divisible by 18, if it is divisible by both 3 and 6.
(D) None of these
Answer : C

Question. Find the value of 50 – (– 48) – (– 2) – 110 + (– 80) – (– 100)
(A) 10
(B) – 10
(C) 100
(D) – 100
Answer : A

DIRECTION (Q.No. a - b) : Study the following graph carefully and answer the questions that follow. Three different products (in thousands) produced by a company in five different years

Question a. What was the total number of all the products produced by the company in the year 2006 and 2008 together ?
(A) 10750
(B) 107.5 lacs
(C) 105700
(D) None of these
Answer : D

Question b. What is the difference between the total number of Pen Drives and CDs produced by the company in the year 2008 and the number of Key Boards produced by the company in the year 2006 ?
(A) 40000
(B) 4000
(C) 35000
(D) 3500
Answer : A

Question. What was the ratio of the number of CDs produced by the company in the year 2009 to the number of Key Boards produced by the company in the year 2005 ?
(A) 9 : 10
(B) 11 : 10
(C) 10 : 9
(D) 10 : 11
Answer : A

Question. How many unit cubes must be transferred from the solid on the left to the solid on the right so that both of them have the same number of unit cubes ?

(A) 5
(B) 3
(C) 4
(D) 2
Answer : B

Question. What is the minimum number of shaded squares that must be added so that the line AB becomes a line of symmetry ?

(A) 1
(B) 2
(C) 3
(D) 4
Answer : C

Question. Find the area of the shaded part of the given figure (not drawn to scale).

(A) 182 cm²
(B) 320 cm²
(C) 128 cm²
(D) 192 cm²
Answer : C

Question. What fraction of the figure is shaded ?

(A) 4/12
(B) 5/12
(C) 7/12
(D) 9/12
Answer : B

Question. Find the value of 6435.9 + 7546.4 + 1203.5.
(A) 15188.5
(B) 15155.5
(C) 15185.8
(D) 15815.8
Answer : C

Question. Select the INCORRECT match.
           Column I                                  Column II
(A) Points are collinear              if they lie on same line.
(B) Diameter is a chord             passing through centre of the circle.
(C) Parallel lines                        are lines which do not meet.
(D) Simple curve                       is a curve which crosses itself.
Answer : D

Question. If the diagonals of a quadrilateral bisect each other at right angles, then the quadrilateral is a ____.
(A) Parallelogram
(B) Trapezium
(C) Rhombus
(D) Rectangle
Answer : C

Question. If 5 : 4 : : 30 : x, then the value of x is ____.
(A) 24
(B) 12
(C) 3/2
(D) 6
Answer : A

Question. If the cost of 25 packets with 12 pencils in each packet is ₹ 750, then the cost with 30 packets of 8 pencils in each packet is _____.
(A) ₹ 600
(B) ₹ 720
(C) ₹ 640
(D) ₹ 620
Answer : A

Question. The figure is a solid cuboid. How many rectangular faces does it have ?

(A) 6
(B) 8
(C) 3
(D) 4
Answer : A

Question. If

Answer : B

Question. If the length of each side of a unit square is 2 cm, find the perimeter of the given figure.

(A) 200 cm
(B) 124 cm
(C) 100 cm
(D) 50 cm
Answer : C

Question. The value of 2/5 + 1/4 + 1/2 is _______.
(A) 4/11
(B) 3/20
(C) 1(3/20)
(D) 2(7/20)
Answer : C

SECTION III : EVERYDAY MATHEMATICS

Question. Rahul had 68 marbles more than Rohit. After Rohit bought another 23 marbles, Rohit had 3/8 as many marbles as Rahul had. How many marbles did Rahul have ?
(A) 36
(B) 72
(C) 81
(D) 144
Answer : B

Question. The ratio of Mohit’s age to Gaurav’s age is 6 : 5 now. If Mohit is 9 years older than Gaurav, Gaurav is _____ years old.
(A) 45
(B) 54
(C) 63
(D) 72
Answer : A

Question. A machine makes 24 paper cups in 2 minutes. At this rate, how many paper cups will it make in 540 seconds ?
(A) 108
(B) 216
(C) 432
(D) 864
Answer : A

Question. 2 chairs and 1 table cost ₹ 54000. If 1 chair and 1 table cost ₹ 38000, what is the cost of 5 chairs ?
(A) ₹ 60000
(B) ₹ 92000
(C) ₹ 80000
(D) ₹ 20000
Answer : C

Question. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is _____.
(A) 1520 m²
(B) 2420 m²
(C) 2480 m²
(D) 2520 m²
Answer : D

Question. Tanuj walked 8.96 km on Tuesday, 7.50 km on Wednesday and some distance on Thursday. If he walked 21010 metres in three days, how much distance did he walk on Thursday?
(A) 5.45 km
(B) 4.55 km
(C) 5.54 km
(D) 5.55 km
Answer : B

Question. A yush had a square cardboard of edge 40 cm. The cardboard was cut into 4 equal triangles. Find the area of each triangle.
(A) 10 cm²
(B) 400 cm²
(C) 80 cm²
(D) 800 cm²
Answer : B

Question. A shu slept for 5(1/2)hr. Pooja slept 1(3/5) hr more than Ashu. How long did Pooja sleep ?
(A) 7 hr 6 mins
(B) 7 hr 12 mins
(C) 7 hr 10 mins
(D) 7 hr 24 mins
Answer : A

Question. Ria bought 11 dresses and 12 shirts altogether. Each dress costs ₹ 250 and each shirt costs ₹ 100 less than the dress. How much did Ria spend ?
(A) ₹ 5540
(B) ₹ 5405
(C) ₹ 4550
(D) ₹ 5450
Answer : C

Question. The charges for parking a car are shown below :

Mr. Samrat parked his car from 9:00 a.m. to 2:30 p.m. How much did he pay?
(A) ₹ 165
(B) ₹ 175.5
(C) ₹ 187.5
(D) ₹ 177.5
Answer : D