CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set J

LOGICAL REASONING

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

Answer : B

Question. How many such even numbers are there in the following sequence of numbers each of which is immediately followed by an even number as well as immediately preceded by an odd number?
8 5 8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 4 4 1 1 9 8 1 6 3 2
A. 1
B. 2
C. 3
D. More than 3
Answer : D

Question. Which of the following options will replace the (?) in the given figure matrix?

Answer : A

Question. If Tarun says, "Deepak's mother is the only daughter-in-law of my father", then how is Tarun related to Deepak?
A. Father
B. Grandfather
C. Uncle
D. Brother
Answer : A

Question. Shivam is facing towards North-East. He turns 180° clockwise and then again turns 180° anticlockwise. Finally he turns 315° clockwise. In which direction is he facing now?
A. North
B. North-West
C. South
D. South-East
Answer : A

Question. In the given Venn diagram, Triangle represents people who like playing indoor games, Circle represents people who like playing outdoor games and Square represents people who like watching T.V. Which of the following numbers represents people who like to play indoor as well as outdoor games but do not like to watch T.V.?

A. 4
B. 5
C. 2
D. 3
Answer : C

Question. If '–' denotes '÷', '÷' denotes '×', '+' denotes '–' and '×' denotes '+', then find the value of 116 + 9 ÷ 52 – 4 × 5.
A. 16
B. 8
C. 9
D. 4
Answer : D

Question. Select a figure from the options which satisfies the same conditions of placement of the dots as in the given figure.

Answer : D

Question. How many cubes are required to make the given figure?

A. 13
B. 14
C. 10
D. 11
Answer : D

Question. In a certain code language, 'SACRED' is written as 'TBDQDC'. How will 'SAFETY' be written in the same language?
A. TBESDX
B. TBDDSX
C. TBGDSX
D. RBDXYA
Answer : C

Question. Select a figure from the options in which the given figure is exactly embedded as one of its parts.

Answer : D

Question. Select the correct water image of the given figure

Answer : A

Question. The given question consists of a set of three figures P, Q and R showing a sequence of folding of a piece of paper. Fig. (R) shows the manner in which the folded paper has been cut. Select a figure from the options which would most closely resemble the unfolded form of fig. (R).

Answer : C

Question. Two positions of a dice are shown here. Which of the following will be at the top when 4 is at the bottom?

A. 3
B. 6
C. 2
D. 1
Answer : B

Question. Among 5 students, Atul is lighter than Rashi and Anuj. Karan is heavier than Sam and Rashi. Sam is not the lightest. Who among them is the lightest?
A Karan
B. Atul
C. Rashi
D. Anuj
Answer : B

MATHEMATICAL REASONING

Question. Find the sum of – 59, – 41, 73, –92, 81, – (–41) and –3.
A. 3
B. 0
C. 1
D. –2
Answer : B

Question. The given figure is made up of one big square of side 5 cm and 3 identical small squares of side x cm each. Find the perimeter of the figure in terms of x.

A. (20 + 6x) cm
B. (20 + 5x) cm
C. (18 + 7x) cm
D. (20 + 9x) cm
Answer : A

Question. Which of the following figures does not have any line of symmetry?

Answer : D

Question. The product of a number and the sum of 2(1/5) and 9/5 is 76. Find the number.
A. 20
B. 21
C. 19
D. 18
Answer : C

Question. If 60 is divided into two parts in the ratio 2 : 3, then the difference between those two parts is _______.
A. 10
B. 12
C. 5
D. 18
Answer : B

Question. The algebraic expression for the statement 'One-fifth of a number x is subtracted from the sum of b and thrice of c' is _______.
A. 3(b+c) - x/5
B. (b+3c) - x/5
C. x/5 − (b+3c)
D. x/5 − 3(b−3c)
Answer : B

Direction (a - b) :The given table shows the number of chapatis Ms Sharma made on each day in a week.

Question a. How many chapatis did she make in the whole week?
A. 42
B. 67
C. 57
D. 47
Answer : C

Question b. If each chapati was made using 9 g of flour, then quantity of flour used on Friday was _______ g.
A. 100
B. 81
C. 90
D. 99
Answer : B

Question. Find the value of 896.72 × 0.15 correct to the nearest tenths.
A. 134.51
B. 134.6
C. 134.61
D. 134.5
Answer : D

Question. Find the value of p and q respectively which satisfies the given equation.
p(1/3) + q(1/3) = 7(2/3)
A. 4, 8
B. 2, 3
C. 3, 4
D. 3, 5
Answer : C

Question. A quadrilateral shaped photo frame has all sides equal.
Which of the following is not a possible shape for the photo frame?
A. Square
B. Trapezium
C. Rhombus
D. None of these
Answer : B

Question. How many line segments are there in the given figure?

A. 17
B. 20
C. 19
D. 18
Answer : A

Question. If a line segment measuring 28.254 cm is divided into three equal parts, then the sum of the measure of the two parts is __________.
A. 14.112 cm
B. 15.646 cm
C. 19.264 cm
D. 18.836 cm
Answer : D

Question. Divide the place value of 5 in 256798 by 1 less than the predecessor of 10002.
A. 501
B. 50
C. 5001
D. 5
Answer : D

Question. How many degrees are there in one-third of one-fourth of one complete turn?
A. 30°
B. 60°
C. 90°
D. 120°
Answer : A

Question. Find the area of the unshaded part of the given figure

A. 4.5 cm²
B. 6 cm²
C. 10 cm²
D. 6.5 cm²
Answer : B

Question. If m : n = 3 : 7, then (6m – 2n) : (5m + 3n) is equal to _______.
A. 1 : 9
B. 2 : 45
C. 9 : 18
D. 4 : 123
Answer : A

Question. The number 90406092 can be written in International System of Numeration as
A. Nine crore forty lakh sixty thousand ninety two
B. Ninety million forty lakh six thousand ninety two
C. Ninety million four hundred six and ninety two
D. Ninety million four hundred six thousand ninety two
Answer : D

Question. A number is always divisible by 180, if
A. It is divisible by both 45 and 2.
B. It is divisible by both 36 and 5.
C. It is divisible by both 18 and 30.
D. All of these
Answer : B

Question. Which of the following options is incorrect?
A. 3/4 > 2/3
B. 4/5 > 1/3
C. 9/7 > 1
D. 1/2 > 1/4
Answer : D

EVERYDAY MATHEMATICS

Question. Samiara bought a raw papaya weighing 8 kg 300 g.
Out of this, she gave 2 kg 200 g to her tenant. How much papaya is left with her?
A. 5 kg 10 g
B. 5 kg 100 g
C. 6 kg 100 g
D. 6 kg 10 g
Answer : C

Question. A milkman supplies 34 L of full cream milk and 54 L of toned milk everyday in Palam Vihar. The toned milk costs ₹ 48 per litre and full cream milk costs ₹ 56 per litre. How much money the milkman will earn in the month of June?
A. ₹ 124640
B. ₹ 134880
C. ₹ 101732
D. ₹ 145650
Answer : B

Question. Four mobile phones commence vibrating together and vibrate at an intervals of 16 secs, 9 secs, 8 secs and 4 secs respectively. In 12 minutes, how many times will they vibrate together?
A. 7
B. 4
C. 8
D. None of these
Answer : D

Question. From Shanti Niwas, Mr Saxena takes a left turn and walks 87 steps to reach the community hall. One day, by mistake he turns to right and after walking 35 steps he realised that he is walking in the opposite direction. How many steps he has to walk back to reach the community hall?
A. 122
B. 52
C. 59
D. 120
Answer : A

Question. Vipin, Tushar and Vikas are living in a room on rent. In a month Tushar decided to pay one-fifth of the total rent and Vikas decided to pay two-fourth of the total rent. How much will Vipin pay, if the rent of the room is ₹ 12500 per month?
A. ₹ 6250
B. ₹ 3750
C. ₹ 2500
D. ₹ 2560
Answer : B

Question. A bag contains one rupee, 50 paise and 25 paise coins in the ratio 5 : 6 : 8. If the total amount is ₹ 420, then find the total number of coins.
A. 798
B. 789
C. 978
D. 987
Answer : A

Question. Manju runs around a rectangular park of length 35 m and breadth 20 m. Meenu runs around a square park of side 30 m. Who covers less distance and by how much, if Meenu takes 4 rounds and Manju takes 3 rounds completely?
A. Meenu, 150 m
B. Manju, 120 m
C. Manju, 150 m
D. Meenu, 120 m
Answer : C

Question. A bus starts its journey at 5:30 a.m. and reaches its destination at 9:15 p.m. with a stoppage time of 2 hours. Find the ratio of the stoppage time to the total journey period.
A. 12 : 95
B. 8 : 63
C. 4 : 73
D. 9 : 85
Answer : B

Question. Mr Ahuja purchased two Maths books for ₹ 167.50 each, three Science books for ₹ 1375.75 and four Computer
Science books for ₹ 168.55 each. He gave 5 notes of
₹ 500 each to the shopkeeper. How much amount
will he get back?
A. ₹ 335
B. ₹ 674.2
C. ₹ 175.50
D. ₹ 115.05
Answer : D

Question. Find the number of envelopes that can be made out of a sheet of paper 384 cm by 168 cm, if each envelope requires a piece of paper of size 16 cm by 12 cm.
A. 340
B. 344
C. 336
D. 342
Answer : C

ACHIEVERS SECTION

Question. Study the given statements carefully. State 'T' for true and 'F' for false and select the correct option.
(i) If a number is a factor of each of the given two numbers, then it must be a factor of their difference.
(ii) If a number is divisible by another number, then it must be divisible by each of the factors of that number.
(iii) If a number is divisible by another number, then it is also divisible by all the multiples of that number.
(iv) No prime number other than 2 is even but every odd number is necessarily a prime number.
    (i)     (ii)    (iii)    (iv)
A. T        F        T        F
B. T        T        F        F
C. F        T        F        T
D. F        F        F        F
Answer : B

Question. Solve the following and select the correct option.

       (i)               (ii)
A. 26.752        10(9/35)
B. 26.767        12(3/45)
C. 28.837        10(9/35)
D. 26.752        6(19/35)
Answer : A

Question. Select the incorrect match, if figures (not drawn to scale) are made up of identical squares and identical equilateral triangles of side 3 cm each

Answer : D

Question. Find the value of P, Q, R and S

P Q R S
A. 20 6 12 4
B. 20 12 6 6
C. 20 12 6 9
D. 8 12 6 12
Answer : A

Question. Match the following and select the correct option.

A. (P) → (iv), (Q) → (ii), (R) → (iii), (S) → (i)
B. (P) → (ii), (Q) → (iv), (R) → (i), (S) → (iii)
C. (P) → (ii), (Q) → (iv), (R) → (iii), (S) → (i)
D. (P) → (iv), (Q) → (ii), (R) → (i), (S) → (iii
Answer : D