CBSE Class 5 Mathematics IMO Olympiad MCQs with Answers Set 17

SECTION I : LOGICAL REASONING

Question. Beena received her end-of-year result slip but it was torn. What would be her highest possible total score and lowest possible total score?

(A) 399, 327
(B) 400, 300
(C) 365, 347
(D) 399, 201
Answer : C

Question. How many of the following letters have a line of symmetry?

(A) 1
(B) 2
(C) 3
(D) 4
Answer : B

Question. Choose the odd one out.
(A) EJOT
(B) GLQV
(C) CHMR
(D) BDFH
Answer : D

Question. Find the mirror image of given figure (X).

Answer : C

Question. If P, R and Q, S exchanges their positions and then P and Q moves diagonally and meet at the middle of rectangle, then the direction of R with respect to Q is _____.

(A) South-east
(B) South-west
(C) North-west
(D) North-east
Answer : B

Question. Which of the following figures will complete the Fig. (X)?

Answer : C

Question. How many triangles are there in the given figure?

(A) 10
(B) 11
(C) 12
(D) None of these
Answer : A

Question. How many different possible combinations of one colour pencil and one rubber cap from 5 different colour pencils and 6 different rubber caps can be formed ?

(A) 22
(B) 25
(C) 36
(D) 30
Answer : D

Question. Find the missing number.

(A) 100
(B) 140
(C) 136
(D) 125
Answer : A

Question. On the map, each side of each grid square represents 1 kilometre. How much farther does Priya live from the library than Ritika lives from the market ? (Considering the shortest distance)

(A) Priya lives 1 km farther than Ritika.
(B) Both are at the same distance.
(C) Ritika lives 1 km farther than Priya.
(D) Can't be determined.
Answer : B

Question. The calendar given below shows Aditya's schedule for cricket practice and cricket match.

If Aditya attended every practice in December 20XX, what is the total number of minutes he spent on practice during December 20XX ?
(A) 780 mins
(B) 720 mins
(C) 690 mins
(D) 660 mins
Answer : B

Question. Mona is facing North-West after turning through an angle of 180° in the anti-clockwise direction.
She was facing ______.
(A) East
(B) North
(C) South-East
(D) South-West
Answer : C

Question. How many right angles are there in the figure ?

(A) 13
(B) 14
(C) 12
(D) 15
Answer : C

Question. How many more squares needs to be removed so that 3/9 of the total squares are removed?

(A) 14
(B) 12
(C) 27
(D) 29
Answer : A

Question. How many triangles can be drawn using any three dots?

(A) 4
(B) 6
(C) 3
(D) 7
Answer : B

Question. In a certain code if "pen" is called "pencil", "pencil" is called "eraser" and "eraser" is called "book", then what will be used to erase something done wrong?
(A) Pen
(B) Pencil
(C) Eraser
(D) Book
Answer : D

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

Answer : A

Question. Find out which of the following options contains all the components needed to form the key figure.

Answer : C

Question. Which figure among the following figures is the odd one out ?

Answer : B

Question. Find the word from the options which can have all the given letters as prefixes.

(A) PEL
(B) ICE
(C) EAN
(D) EIN
Answer : B

SECTION II : MATHEMATICAL REASONING

Question. Select the correct match of the fraction of shaded part of figures.

Answer : A

Question. The rectangle is made up of 12 identical squares. Which of the following 2 parts amongst 4 parts P, Q, R and S will add up to form 7/12 of the rectangle?

(A) P and R
(B) Q and S
(C) P and Q
(D) Q and R
Answer : C

Question. A rectangular piece of paper was folded to form the shape shown. What was the perimeter of the piece of paper before it was folded?

(A) 14 cm
(B) 12 cm
(C) 28 cm
(D) Data Inadequate
Answer : D

Question. What is the least number of squares that must be added so that the line MN becomes a line of symmetry?

(A) 4
(B) 6
(C) 5
(D) 7
Answer : B

Question. A way is given to express 660 as a product of prime numbers. Find the value of P, Q and R respectively.

(A) 11, 55, 2
(B) 55, 11, 2
(C) 2, 55, 11
(D) 55, 2, 11
Answer : C

Question. Sahil chose a secret number. When he rounds off the number to the nearest thousand, he gets 15000. When he rounds off the number to the nearest hundred, he gets 14900. When he rounds off to the nearest ten, he gets 14880. What is the possible number he might have chosen?
(A) 14200
(B) 14498
(C) 14879
(D) 14009
Answer : C

Question. The value of MMDCCCLXXII – MMDCCLXXIII = _?_
(A) XCIX
(B) CI
(C) XC
(D) IC
Answer : A

Question. A _____ number can be shown as the product of ______ factors.
(A) Prime, composite
(B) Composite, prime
(C) Composite, composite
(D) None of these
Answer : B

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

(A) 41
(B) 48
(C) 51
(D) 50
Answer : C

Question. Which of the following statements is true?
(i) The smallest number that can be divided by the given numbers without leaving any remainder is called the lowest common multiple.
(ii) The greatest number which divides two or more numbers exactly without leaving any remainder is called the highest common factor.
(A) Only (i)
(B) Only (ii)
(C) Both (i) and (ii)
(D) Neither (i) nor (ii)
Answer : C

Question. Find the values P, Q, R and S respectively.

Answer : B

Question. A number is made up of 3 digits. The digit in the hundred's place is twice the digit in the one's place. The digit in the ten's place is 1 less than the digit in the one's place. If the digit in the ten's place is 2, what is the number?
(A) 623
(B) 432
(C) 622
(D) 224
Answer : A

Question. Select the correct match of mixed fractions in Column I with improper fractions in Column II.
Column I                 Column II
(A) 5(5/12)                   68/12
(B) 7(8/11)                   86/11
(C) 4(6/10)                   40/10
(D) 8(10/3)                     34/3
Answer : D

Question. The product of two numbers is 72. If the greater number is 9, find the difference between 100 and the smaller number.
(A) 63
(B) 64
(C) 81
(D) 92
Answer : D

Question. The length of a rectangle is twice its breadth. If the length of the rectangle is 8 cm, find its area.
(A) 24 cm²
(B) 32 cm²
(C) 48 cm²
(D) 64 cm²
Answer : B

Question. How much does

(A) ₹ 11
(B) ₹ 13
(C) ₹ 14
(D) ₹ 12
Answer : A

Question. Find the value of X in the given expression.
67.245 – ___X__ = 31.193.
(A) 36.025
(B) 36.205
(C) 36.052
(D) 36.520
Answer : C

Question. ABCD is a square and M, N, P and Q are the mid-points of each side of the square ABCD. The area of MNPQ is 32 cm2. Find the length of the side of ABCD if area of ABCD is twice the area of MNPQ.

(A) 24 cm
(B) 16 cm
(C) 8 cm
(D) 32 cm
Answer : C

Question. The timeline below is marked at equal time intervals. What is the time represented by Y?

(A) Noon
(B) 12:30 p.m.
(C) 1:00 p.m.
(D) 1:30 p.m.
Answer : B

Question. There are five angles below. How many of them are greater than 90°?

(A) 1
(B) 2
(C) 3
(D) 4
Answer : B

SECTION III : EVERYDAY MATHEMATICS

Question. 520 g of tiny pink pebbles are mixed with 580 g of tiny purple pebbles. Misha packed the mixture of tiny pebbles into 5 packets equally. How many kilograms of the mixture are there in each packet?
(A) 220
(B) 0.220
(C) 0.022
(D) 0.02
Answer : B

Question. A lisha had 114 more beads than Beena. After Alisha gave 96 beads to Beena, Beena had twice as many beads as Alisha. How many beads did Beena have at first?
(A) 174
(B) 120
(C) 60
(D) 160
Answer : C

Question. Tarun bought an equal number of apples and oranges at the cost as shown. If he paid a total of ₹ 560, how many apples did he buy?

(A) 20
(B) 15
(C) 10
(D) 18
Answer : A

Question. Latika earned ₹ x in a month. She gave ₹ 15000 to her father, spent ₹ 1000 and saved the rest. She saves ₹ 4000. What is the value of x?
(A) ₹ 25000
(B) ₹ 20000
(C) ₹ 19000
(D) ₹ 18000
Answer : B

Question. Megha paid ₹ 1900 for 4 dolls and 2 teddy bears. A doll costs twice as much as a teddy bear. Find the cost of a doll.
(A) ₹ 190
(B) ₹ 380
(C) ₹ 140
(D) ₹ 280
Answer : B

Question. Mohit bought a packet of flour. He use 3/5 of it to bake a cake. If he had 500 g of flour left, what was the weight of the packet of flour that he had bought?
(A) 1 kg 500 g
(B) 1 kg 200 g
(C) 1 kg 250 g
(D) 1 kg
Answer : C

Question. Sakshi is thrice as old as Krish when Parul is 33 years old and Krish is 13 years old. How old is Sakshi when Parul is 40 years old?
(A) 34 years
(B) 39 years
(C) 40 years
(D) 46 years
Answer : D

Question. A movie ticket costs ₹ 200. For every 9 tickets bought, one ticket was given free. If a group of friends paid ₹ 1800 for the tickets, how many friends were there in the group?
(A) 9
(B) 10
(C) 8
(D) 11
Answer : B

Question. Arjun and Meena had a total of 64 stamps at first. After each of them gave 1/2 of their stamps to Jyoti, Arjun had 8 stamps more than Meena. How many stamps did Arjun have at first?
(A) 40
(B) 24
(C) 64
(D) 16
Answer : A

Question. Rohit's height is 2 m 58 cm. He is 8 cm taller than Amit. What is the total of Rohit's and Amit's height?
(A) 5 m 24 cm
(B) 4 m 60 cm
(C) 4 m 8 cm
(D) 5 m 8 cm
Answer : D