Free Printable THE MATHEMATICS QUIZ

1.

After how many decimal places will $\frac{23}{1250}$ terminate?

a)

3

b)

2

c)

4

d)

1

2.

If p and q are co-prime numbers then $p^2$ and $q^2$ are

a)

Odd

b)

Even

c)

Co-prime

d)

Not co-prime

3.

$n^2-1$ is divisible by 8 if n is :

a)

Odd

b)

Even

c)

Integer

d)

Natural Number

4.

The least number divisible by all first 10 natural numbers is:

a)

2120

b)

1024

c)

504

d)

2520

5.

The LCM and HCF of 2 rational numbers are equal then the number must be

a)

Prime

b)

Co-prime

c)

Composite

d)

Equal

6.

If $p_1$ and $p_2$ are 2 odd prime numbers such that $p_1$ > $p_2$ then $p_1$ ^2- $p_2$ ^2 is:

a)

Even

b)

Odd

c)

Odd prime

d)

Prime

7.

Is (2√45 + 3√20)/2√5 rational or irrational?

a)

Rational

b)

Irrational

8.

Given that HCF (253,440) = 11 and LCM (253, 440) = 253 × R. The value of R is :

a)

400

b)

40

c)

440

d)

253

9.

H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 24× 35× 52× 72. Then the third number is:

a)

22× 35× 72

b)

22× 53× 72

c)

25× 52× 72

d)

23× 35× 72

10.

Which of the following number is divisible by 99 ?

a)

3572404

b)

135792

c)

913464

d)

114345

11.

A positive integer n when divided by 9, gives 7 as remainderWhat will be the remainder when (3n-1)is divided by 9 ?

a)

1

b)

2

c)

3

d)

4

12.

Remainder when the square of an prime number greater then 3 is divided by 6 is:

a)

1

b)

2

c)

3

d)

4

13.

The largest number which divides 70 and 125 leaving remainder 5 and 8 respectively is:

a)

875

b)

65

c)

13

d)

52

14.

If least prime factor of a is 3 and the least prime factor of b is 7, the least prime factor of (a + b) is :

a)

2

b)

3

c)

5

d)

11

15.

If n is a natural number then $9^{2n}$ - $4^{2n}$ is always divisible by

a)

5

b)

13

c)

5 and 13

d)

NOTA

16.

If n is a natural number then $6^n$ - $5^n$ always ends with

a)

7

b)

5

c)

3

d)

1

17.

If 2 positive integers a and b are written as a= $x^3y^2$ and b= $xy^3$ ;x and y are prime numbers then HCF(a,b) is

a)

xy

b)

$xy^2$

c)

$x^2y^2$

d)

$x^3y^3$

18.

If LCM of a and 18 is 36 and HCF of a and 18 is 2, then a is

a)

4

b)

1

c)

2

d)

3

19.

The smallest rationalising factor of $\sqrt{27}$ is

a)

$\sqrt{27}$

b)

$3\sqrt{3}$

c)

$\sqrt{3}$

d)

$\sqrt{2}$

20.

(BONUS QUESTION) A bag contains 20 balls out of which x are black. If 10 more black balls are put in the box, the probability of drawing a black ball is double of what it was before. The value of x is:

a)

0

b)

5

c)

10

d)

40

THE MATHEMATICS QUIZ

Total questions: 20

Worksheet time: 10mins

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