Free Printable National Mathematics Day Round I

1.

A bag contains 50 P, 25 P and 10 P coins in the ratio 5: 9: 4, amounting to Rs. 206. Find the number of coins of each type respectively.

a)

360, 160, 200

b)

160, 360, 200

c)

200, 360, 160

d)

200, 160, 300

2.

If each side of a square is increased by 25%, find the percentage change in its area?

a)

62.25

b)

56.25

c)

65

d)

56

3.

Ten cards numbered 1 to 10 are placed in a box. And one card is drawn randomly. If is it is known that the drawn card is more than 3, what is the probability that it is an even number?

a)

4/7

b)

8/7

c)

5/7

d)

2/5

4.

72, 9, 82, 10, 88, 16, 86, 14, 99, ?

a)

102

b)

22

c)

18

d)

16

5.

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ?

a)

21

b)

22

c)

23

d)

24

6.

In an infinite G.P., each term is 5 times the sum of all the successive terms then common ratio of this G.P. is

a)

2

b)

1/2

c)

1/6

d)

6

7.

If A, B and C are any three sets, then A × (B ∪ C) is equal to.

a)

(A × B) ∪ (A × C)

b)

(A × B) ∩ (A × C)

c)

(A ∪ B) × (A ∪ C)

d)

None of these

8.

Derivative of logx.sinx is

a)

$\sin\left(x\right).\ \left(\frac{1}{x}\right)$

b)

$\cos x\ \sin x\ +\log x$

c)

$\frac{1}{x}\sin x\ +\ \log x\ \cos x$

d)

$-\frac{1}{x}\sin x\ +\ \log x\ \cos x$

9.

How many 3-digit numbers are completely divisible by 6 ?

a)

149

b)

150

c)

151

d)

166

10.

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

a)

4

b)

8

c)

10

d)

6

11.

The H.C.F. of 204, 1190 and 1445 is :

a)

17

b)

18

c)

19

d)

21

12.

What fraction of an hour is 1 second

a)

1/24

b)

1/60

c)

1/360

d)

1/3600

13.

The period of $\sin^2\theta$ is

a)

$\pi^2$

b)

$\pi$

c)

$2\pi$

d)

$\frac{\pi}{2}$

14.

If xy = x – y, then $\frac{\text{d}y}{\text{d}x}$ is equal to

a)

$\frac{x}{\left(x+1\right)}$

b)

$\frac{x^2}{\left(x+1\right)^2}$

c)

$\frac{1}{\left(x+1\right)}$

d)

$\frac{1}{\left(x+1\right)^2}$

15.

What minimum number can be added 2505, to make it a perfect square?

a)

5

b)

20

c)

70

d)

96

16.

Which of these is not a function

a)

(a) and (c)

b)

(b) and (c)

c)

(a), (c) and (d)

d)

All of these

e)

none of these

17.

The smallest prime number is

(a)

18.

The product of a rational and an irrational number is:

a)

Sometimes rational and sometimes irrational

b)

Always an integer

c)

Always a rational number

d)

Always an irrational number

19.

Between any two numbers, there are

a)

Two rational numbers

b)

No rational number

c)

Infinite rational numbers

d)

None of the above

20.

Find the value of $\frac{2^n+2^{\left(n-1\right)}}{2^{\left(n+1\right)}-2^n}$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

2

d)

1

21.

Who called Srinivasa Ramanujan to Britain?

a)

Katherine Johnson

b)

Andrew Wiles

c)

Joseph Fourier

d)

G.H. Hardy

22.

Does the magic square follow a sequence of numbers?

a)

Yes, Harmonic series

b)

Yes, arithmetic series

c)

Yes , geometric series

d)

No

National Mathematics Day Round I

Total questions: 22

Worksheet time: 12mins

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