CBSE Class 8 Mathematics IMO Olympiad MCQs with Answers Set K

SECTION I : LOGICAL REASONING

Question. Find out the wrong term in the given series.
125, 126, 124, 127, 123, 129
(A) 126
(B) 124
(C) 123
(D) 129
Answer : D

Question. Choose the Venn diagram which best represents relationship among "Nose, Hand, Body" ?

Answer : C

Question. Four words have been given, out of which three are alike in some manner and the fourth one is different. Choose the odd one out.
(A) Electricity
(B) Telephone
(C) Telegram
(D) Post
Answer : A

Question. If 'book' is called 'watch', 'watch' is called 'bag', 'bag' is called 'dictionary' and 'dictionary' is called 'window', which is used to carry the books ?
(A) Dictionary
(B) Bag
(C) Book
(D) Watch
Answer : A

Question. Which set of numbers is similar to the given set (48, 24, 12) ?
(A) (44, 22, 10)
(B) (46, 22, 11)
(C) (40, 20, 10)
(D) (42, 20, 10)
Answer : C

Question. A matrix of certain characters is given. These characters follow a certain trend, rowwise or columnwise. Find out the missing character.

(A) 15
(B) 18
(C) 20
(D) 25
Answer : D

Question. Which of the following most closely resembles the mirror image of the given combination ?
WHITE

Answer : C

Question. Find a suitable figure from the options which will continue the given series established by the fourproblem figures P, Q, R and S.

Answer : D

Question. Arrange the given words in the sequence in which they occur in the dictionary and then choose the correct sequence.
(i) Protein (ii) Problem (iii) Proverb (iv) Property (v) Project
(A) (i), (ii), (iii) (iv), (v)
(B) (ii), (i), (iv), (iii), (v)
(C) (ii), (v), (iv), (i), (iii)
(D) (iii), (iv), (v), (ii), (i)
Answer : C

Question. Select a figure from amongst the four alternatives, which when placed in the blank space of figure (X) would complete the pattern.

Answer : C

Question. If '+' means '´', '´' means '–', '¸' means '+' and '–' means '¸', then find the value of 175 – 25 ¸ 5 + 20 ´ 3 + 10 ?
(A) 77
(B) 160
(C) 240
(D) 2370
Answer : A

Question. If in a certain language, ITNIETAM is the code for INTIMATE, which word has the code TREVNIETARBI?
(A) INVRETIBRATE
(B) INVERTIBARTE
(C) INVERTIBRATE
(D) INVERITBARTE
Answer : C

Question. The given question consists of five figures marked (i), (ii), (iii), (iv) and (v) called the Problem figures.
Select a figure from amongst the alternatives which will continue the same series as established by the five Problem Figures.

Answer : C

Question. Rohan ranks fifth from the top and twentysixth from the bottom in a class. How many students are there in the class ?
(A) 30
(B) 32
(C) 33
(D) 34
Answer : A

Question. Select the combination of numbers so that the letters arranged accordingly will form a meaningful word.
T E L S C A
1 2 3 4 5 6
(A) 1, 2, 3, 4, 6, 5 (
B) 4, 6, 5, 1, 2, 3
(C) 5, 6, 4, 1, 3, 2
(D) 6, 5, 3, 2, 4, 1
Answer : C

Question. Anshuman is facing South. He turns 135° in the anti clockwise direction and then 180° in the clockwise direction. Which direction is he facing now ?
(A) Northeast
(B) Northwest
(C) Southeast
(D) Southwest
Answer : D

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

(A) 14
(B) 15
(C) 16
(D) 17
Answer : B

Question. The given question consists of a set of three figures X, Y and Z showing a sequence of folding of a piece of paper. Fig. (Z) shows the manner in which you have to choose a figure which would most closely resemble the unfolded form of Fig. (Z)

Answer : B

Question. The given figure (X) is embedded in one of the options. Select the option figure which contains figure (X) as its part.

Answer : D

Question. The given question consists of four figures marked (i), (ii), (iii) and (iv) called the Problem figures.
Select a figure from amongst the alternatives which will continue the same series as established by the three problem figures.

Answer : C

SECTION II : MATHEMATICAL REASONING

Question. How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
(A) 5
(B) 6
(C) 7
(D) 0
Answer : B

Question. Onefifth of a number exceeds oneseventh of the same number by 10. The number is _____ .
(A) 125
(B) 150
(C) 175
(D) 200
Answer : C

Question. Mohit plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apples trees in each row. The number of rows is ____ .
(A) 124
(B) 126
(C) 134
(D) 144
Answer : A

Question. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is _____ .
(A) 25
(B) 27
(C) 30
(D) 35
Answer : D

Question. If the length and breadth of a rectangle are changed by + 20% and –10%. What is the percentage change in area of rectangle ?
(A) 8%
(B) 10.8%
(C) 20%
(D) Data insufficient
Answer : A

Question. The C.P. of an article is (5/6)^th of the S.P. What is the percentage profit or loss ?
(A) 20% loss
(B) 16.66% profit
(C) 16.66% loss
(D) 20% profit
Answer : D

Question. A can do a piece of work in 8 days, B can do it in 16 days, while C can do it in 80 days. In how many days they can complete the whole work, working together ?
(A) 5
(B) 6
(C) 8(2/3)
(D) 20(2/5)
Answer : A

Question. By what least number 675 be multiplied to obtain a number which is a perfect cube ?
(A) 5
(B) 6
(C) 7
(D) 8
Answer : A

Question. The sum of two natural numbers is 64. Which of the following cannot be the ratio of these two numbers ?
(A) 3 : 5
(B) 1 : 3
(C) 7 : 9
(D) 3 : 4
Answer : D

Question. If x is 90% of y, then what percent of x is y ?
(A) 90%
(B) 10(1/9)%
(C) 111(1/9)%
(D) 190%
Answer : C

Question. Which of the following statements is false for a rectangle ?
(A) It has two pairs of equal sides.
(B) Its diagonals bisect each other.
(C) Its diagonals are perpendicular.
(D) Its diagonals are equal.
Answer : C

Question. A dodecahedron has ___ faces.

(A) 8
(B) 10
(C) 12
(D) 14
Answer : C

Question. The radius of a wheel is 0.25 metres. The number of revolutions it will make to travel a distance of 11 km will be ____ .
(A) 2800
(B) 4000
(C) 5500
(D) 7000
Answer : D

Question. Find the area of the field as shown in the figure.

(A) 70 cm²
(B) 128 cm²
(C) 140 cm²
(D) 96 cm²
Answer : A

DIRECTION (a - b) : The following piechart represents the total number of valid votes obtained by four students who contested for school elections. The total number of valid votes polled was 720.

Question a. Who has won the election ?
(A) Veer
(B) Ranbir
(C) Siddharth
(D) Vipul
Answer : C

Question b. What is the minimum number of votes obtained by any candidate ?
(A) 110
(B) 120
(C) 80
(D) 100
Answer : B

Question. By how many votes did the winner defeat the nearest contestant ?
(A) 20
(B) 30
(C) 50
(D) 40
Answer : D

Question. Factorise : 4a² + 12ab + 9b² – 8a – 12b
(A) (2a – 3b) (2a – 3b – 4)
(B) (2a + 3b) (2a + 3b – 4)
(C) (2a – 3b) (2a + 3b – 2)
(D) (2a + 3b) (3a + 2b – 4)
Answer : B

Question. If x = (3/2)² x (2/3)^-4 find the value of x –2 .
(A) (2/3)¹⁰
(B) (3/2)¹²
(C) (2/3)⁶
(D) 1
Answer : B

Question. The value of

(A) 30
(B) 34.8
(C) 36.6
(D) 41.4
Answer : A

SECTION III : EVERYDAY MATHEMATICS

Question. A tank is 2/5 full. If 16 litres of water is added to the tank, it becomes 6/7 full. The capacity of the tank is
(A) 28 litres
(B) 32 litres
(C) 35 litres
(D) 42 litres
Answer : C

Question. Of the three numbers, the sum of the first and the second number is 45; the sum of the second and the third number is 55 and the sum of the third and thrice the first number is 90. The third number is ______ .
(A) 20
(B) 25
(C) 30
(D) 35
Answer : C

Question. The difference between the cost price and selling price of an article is ₹ 240. If the profit is 20%, the selling price is _____ .
(A) ₹ 1240
(B) ₹ 1400
(C) ₹ 1600
(D) ₹ 1200
Answer : D

Question. A train 280 metres long, running with a speed of 63 km/hr will pass a tree in
(A) 15 secs
(B) 16 secs
(C) 18 secs
(D) 20 secs
Answer : B

Question. The simple interest on a sum of money at 8% per annum for 6 years is half the sum. The sum is ____ .
(A) ₹ 4800
(B) ₹ 6000
(C) ₹ 8000
(D) Data inadequate
Answer : D

Question. If the diameter of the base of a closed right circular cylinder be equal to its height 'h' then its total surface area is ______ .
(A) (2/3)πh²
(B) (3/2)πh³
(C) (3/2)πh²
(D) πh³
Answer : C

Question. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is _____ .
(A) 14 years
(B) 18 years
(C) 20 years
(D) 22 years
Answer : D

Question. Shikha cycles to her school at an average speed of 12 km/hr. It takes her 20 minutes to reach the school. If she wants to reach her school in 15 minutes, what should be her average speed ?
(A) 16 km/hr
(B) 20 km/hr
(C) 25 km/hr
(D) 10 km/hr
Answer : A

Question. Anusha has to pay 4% sales tax in addition to the price of a certain article. Find the price of her article, if she pays ₹ 2.6 in all.
(A) ₹ 4
(B) ₹ 2.50
(C) ₹ 5
(D) ₹ 7.60
Answer : B

Question. The outer dimensions of a closed box are 10 cm by 8 cm by 7 cm. Thickness of the wood is 1 cm.
Find the total cost of wood required to make box, if 1 cm 3 of wood costs ₹ 2.00.
(A) ₹ 320
(B) ₹ 1240
(C) ₹ 640
(D) ₹ 240
Answer : C