Question for Mathematics Olympiad Class 8 - Quiz / Questions / MCQ in English

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Latest Mathematics Olympiad Class 8 Exam Question (Objective Questions), MCQ in English

Subjects : Maths

Question Bank Mathematics Olympiad (IMO) Exam Class 8 - English

Maths

Q 1 :

Let ‘K’ be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder 25 in each case. Then sum of the digits of ‘K’ is

1. A.
   7
2. B.
   5
3. C.
   6
4. D.
   8

Show Answer

Q 2 :

The measure of an angle, if six times its complement is 12° less than twice its supplement, is

1. A.
   58°
2. B.
   48°
3. C.
   38°
4. D.
   78°

Show Answer

Q 3 :

Find out the missing number.

240, ?, 120, 40, 10, 2

1. A.
   120
2. B.
   240
3. C.
   40
4. D.
   10

Show Answer

Q 4 :

In an examination a student was asked to find th of a certain number. By mistake, he found  of it. His answer was 150 more than the correct answer. The number is

1. A.
   290
2. B.
   280
3. C.
   240
4. D.
   180

Show Answer

Q 5 :

If , then value of   is a

1. A.
   0.016
2. B.125
   2
3. C.
   0.16
4. D.
   None of these

Show Answer

Q 6 :

If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 

and a + b + c = 14, then the value of '(a + b)’ is

1. A.
   8
2. B.
   7
3. C.
   6
4. D.
   12

Show Answer

Q 7 :

If the area of the three adjacent faces of a cuboidal box are 120 cm2, 72 cm2 and 60 cm2 respectively. The volume of the box is

1. A.
   720 cm3
2. B.
   780 cm3
3. C.
   728 cm3
4. D.
   798 cm3

Show Answer

Q 8 :

Factorise

1. D.None of these

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Q 9 :

A clock loses  on true time during one week and gains  on true time during the next week. If it is set right at 12 O’clock on Saturday morning, what time will it indicate at the end of second week?

1. A.
   11 : 34
2. B.
   11 : 48
3. C.
   12 : 15
4. D.
   13 : 02

Show Answer

Q 10 :

Area of the field shown in the figure given below is

 

1. A.
   68 cm2
2. B.
   70 cm2
3. C.
   72 cm2
4. D.
   75 cm2

Show Answer

Q 11 :

A businessman allows two successive discounts of 20% and 10%. If he gets ` 108 for an article, then its marked price is

1. A.
   ` 124
2. B.
   ` 140
3. C.
   `150
4. D.
   ` 170

Show Answer

Q 12 :

What number should replace the question mark?

1. A.
   12
2. B.
   15
3. C.
   17
4. D.
   18

Show Answer

Q 13 :

One day, Ravi left home and cycled 10 km southwards, turned right and cycled 5 km and turned right and cycled 10 km and turned left and cycled 10 km. How many kilometres will he have to cycle to reach his home straight?

1. A.
   10 km
2. B.
   15 km
3. C.
   20 km
4. D.
   25 km

Show Answer

Q 14 :

The product of two numbers is 1936. If one number is 4 times the other, the numbers are

1. A.
   16, 121
2. B.
   22, 88
3. C.
   44, 44
4. D.
   None of these

Show Answer

Q 15 :

If a number increased by 8% of itself gives 135, then that number is

1. A.
   112
2. B.
   100
3. C.
   125
4. D.
   None of these

Show Answer

Q 16 :

If (a + b + c) = 0 then value of   

is

1. A.
   3
2. B.
   1
3. C.1
   3
4. D.
   2

Show Answer

Q 17 :

What number should replace the question mark?

27, 27, 30, 23, 33, 22, 36, 17?  

1. A.
   30
2. B.
   20
3. C.
   40
4. D.
   10

Show Answer

Q 18 :

From his house, Lokesh went 15 km to the North. Then he turned West and covered 10 km. Then, he turned South and covered 5 km. Finally , turning to East, he covered 10 km. In which direction is he from his house?

1. A.
   East
2. B.
   West
3. C.
   North
4. D.
   South

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Q 19 :

The radius of a sphere is increased by P%. Its surface area increase by

1. A.
   P%
2. B.
   P2%

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Q 20 :

The least multiple of 7 which leaves remainder of 4, when divided by 6, 9,15 and 18 is

1. A.
   74
2. B.
   94
3. C.
   184
4. D.
   364

Show Answer

Q 21 :

If  = 1 , then x =

1. A.
   a
2. B.
   b
3. C.
   1
4. D.
   ab

Show Answer

Q 22 :

The volumes of two cubes are in the ratio 

343 : 1331, the ratio of their edges, is

1. A.
   7 : 10
2. B.
   7 : 11
3. C.
   7 : 12
4. D.
   None of these

Show Answer

Q 23 :

Seventy eight is divided into two parts such that five times the first part and four times the second part are in the ratio 15 : 14. The first part is

1. A.
   32
2. B.
   36
3. C.
   42
4. D.
   46

Show Answer

Q 24 :

A chess board contains 64 equal squares and the area of each square is 6.25 cm2. A border round the board is 2 cm wide. The length of the side of the chess board is

1. A.
   18
2. B.
   21 cm
3. C.
   24 cm
4. D.
   28 cm

Show Answer

Q 25 :

HCF of first 200 prime numbers which are of the form 10 p + 1 is

1. A.
   10
2. B.
   7
3. C.
   6
4. D.
   None of these

Show Answer

Q 26 :

If 'x' is any natural number, then   will always be greater than or equal to 

1. A.
   1
2. B.
   2
3. C.
   3
4. D.
   4

Show Answer

Q 27 :

Which number lies opposite the face 4, if the four different positions of a dice are as shown in the figures given below.

1. A.
   5
2. B.
   3
3. C.
   2
4. D.
   1

Show Answer

Q 28 :

Read all the conclusions and then decide which one of the given conclusions logically follows from the three given statements, disregarding commonly known facts.

Statements :

Some ice are ring. No ring is paint. Some rings are gold
Conclusions :

I. No gold is paint

II. No ice is gold

III. Some rings are paints

IV. All gold are rings

1. A.
   Only I and III follow
2. B.
   Only I and II follow
3. C.
   Only III and IV follow
4. D.
   None of these

Show Answer

Q 29 :

Find the mean of 50 observations. It is given that the mean of 32 of them is 28 and the mean of the remaining 18 observations is 30.

1. A.
   30.24
2. B.
   28.72
3. C.
   24.82
4. D.
   30.32

Show Answer

Q 30 :

In the given figure, value of x is

1. A.
   36°
2. B.
   108°
3. C.
   72°
4. D.
   144°

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Q 31 :

Find the value of x, if median of the following observations arranged in ascending order is 25.

11, 13, 15, 19, x + 2, x + 4, 30, 35, 39, 46

1. A.
   23.5
2. B.
   22
3. C.
   22.5
4. D.
   24

Show Answer

Q 32 :

Rekha sold a watch at a profit of 15%. Had he bought it at 10% less and sold it for ` 28 less. He would have gained 20%. The C.P. of the watch is

1. A.
   ` 250
2. B.
   ` 400
3. C.
    ` 425
4. D.
   ` 450

Show Answer

Q 33 :

A hemisphere of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is

1. A.
   2.4 cm
2. B.
   2.8 cm
3. C.
   3.5 cm
4. D.
   3.8 cm

Show Answer

Q 34 :

The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is  Then the rational number is

1. A.13
   20
2. B.20
   13
3. C.21
   13
4. D.13
   21

Show Answer

Q 35 :

The edges of three iron cubes are 6 cm, 8 cm and 10 cm, respectively. A new cube was made by melting them. Find the edge of the new cube.

1. A.
   8 cm
2. B.
   12 cm
3. C.
   14 cm
4. D.
   10 cm

Show Answer

Q 36 :

If 3 + 5 = 16; 7 + 9 = 64; 10 + 12 = 121, then 

11 + 3 = ?

1. A.
   56
2. B.
   48
3. C.
   49
4. D.
   196

Show Answer

Q 37 :

The speed of a car increases by 2 kilometer after every one hour. If the distance travelled in the first one hour was 35 kilometers, then the total distance travelled in 12 hours was

1. A.
   460 km
2. B.
   552 km
3. C.
   483 km
4. D.
   572 km

Show Answer

Q 38 :

If , the value of  is  

1. A.1
   27
2. B.1
   64
3. C.1
   65
4. D.None of these

Show Answer

Q 39 :

Which of the following picture is the correct for the given net?

Show Answer

Q 40 :

What number should replace the question mark?

1. A.
   18
2. B.
   22
3. C.
   36
4. D.
   19

Show Answer

Q 41 :

If the radius of a circle is increased by 1 cm, its area increases by 22 cm2, then original radius of the circle is

1. A.
   4 cm
2. B.
   3 cm
3. C.
   3.5 cm
4. D.
   5 cm

Show Answer

Q 42 :

Find the value of  is equal to : 

1. A.
   0
2. B.
   x2
3. C.
   x
4. D.1
   X

Show Answer

Q 43 :

In measuring the sides of a rectangle errors of 5% and 3% in excess are made. The error percent in the calculated area is

1. A.
   7.15%
2. B.
   6.25%
3. C.
   8.15%
4. D.
   8.35%

Show Answer

Q 44 :

In ABC, AD is a median. Also, G is a point on AD which divides it in the ratio 2 : 1 and is located 12 units from A. Find AD.

1. A.
   16
2. B.
   18
3. C.
   24
4. D.
   36

Show Answer

Q 45 :

Mean of the following frequency distribution

is

1. A.
   74.8
2. B.
   75.8
3. C.
   72.6
4. D.
   73.5

Show Answer

Q 46 :

A sum of money, put out at compound interest, becomes ` 672 in two years and ` 714 in three years. The rate of interest is :

1. A.
   5% per annum
2. B.
   6% per annum
3. C.
   per annum
4. D.
   per annum

Show Answer

Q 47 :

If , then value of  is

1. A.
   9
2. B.
   29
3. D.
   3

Show Answer

Q 48 :

If HCF (a, b) = 12 and a × b = 1800, then LCM 

(a, b) =

1. A.
   900
2. B.
   150
3. C.
   90
4. D.
   3600

Show Answer

Q 49 :

In the given figure, AB | | CD. Value of angle x is

1. A.
   295°
2. B.
   305°
3. C.
   275°
4. D.
   285°

Show Answer

Q 50 :

What number should replace the question mark?

4322 : 48

4172 : 56

7615 : ?

1. A.
   336
2. B.
   210
3. C.
   49
4. D.
   52

Show Answer

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