Free Printable Talent Search - Preliminary Round

1.

If the area of two circles are in the ratio 169:196 then the ratio of their radii is

a)

10:11

b)

11:12

c)

12:13

d)

13:14

2.

The number of triangles in an octagon is

a)

326

b)

120

c)

56

d)

Cannot be determined

3.

What is the value of $\cot\ 15\degree\ +\ \cot75\degree\ +\cot135\degree\ -\ \operatorname{cosec}30\degree?$

a)

3

b)

Infinity

c)

1

d)

None of these

4.

The present ages of A and B are as 6:4. Five years ago their ages were in the ratio 5:3. Find their present ages.

a)

42, 28

b)

30, 20

c)

36, 24

d)

25, 15

5.

What is the total number of different divisors of the number 7200?

a)

54

b)

32

c)

20

d)

4

6.

How many numbers are there between 100 and 1000 such that atleast one of their digits is 6?

a)

648

b)

258

c)

654

d)

252

7.

The name of the number system with sixty as base is?

a)

Sexadecimal

b)

Sexagesimal

c)

Hexadecimal

d)

Sexagonal

8.

Calculate the value of $\left(\sqrt{0.000064}\right)^{\left\{\frac{1}{3}\right\}}$ .

a)

0.4

b)

0.008

c)

0.02

d)

0.2

9.

What is a micro?

a)

$10^{-4}$

b)

$10^{-5}$

c)

$10^{-6}$

d)

$10^{-8}$

10.

1, 9, 45, 55, 297, 703, 2223, ... are known as

a)

Fibonacci numbers

b)

Kaprekar numbers

c)

Pythagorean numbers

d)

Mersenne numbers

11.

The letter $Z$ is given to integers from the word Zahlen. This means numbers and its origin is from

a)

German

b)

Greek

c)

Sanskrit

d)

French

12.

Which one is called as Golden Ratio?

a)

$1:\ 1+\sqrt{5}$

b)

$1:\ \frac{\sqrt{5}}{2}$

c)

$1:\ \frac{\sqrt{5}-1}{2}$

d)

$1:\frac{1+\sqrt{5}}{2}$

13.

Who is considered as the father of geometry?

a)

Thales

b)

Archimedes

c)

Rene Descartes

d)

Euclid

14.

Which is a measuring instrument used to determine the area of an arbitrary two-dimensional shape?

a)

Planimeter

b)

Spherometer

c)

Clinometer

d)

Integraph

15.

Name of a polyhedron with 20 faces is

a)

Icosohedron

b)

Polyhedron

c)

Decahedron

d)

Hectahedron

16.

What is a number which is divisible by the sum of its own digits called?

a)

Palindrome Number

b)

Harshad Number

c)

Carmichael Number

d)

Liouville Number

17.

An experiment in which there are two possible outcomes is known as

a)

Statistical trial

b)

Symmetrical trial

c)

Bernoulli trial

d)

Fluxion trial

18.

If $n\left(A\cup B\right)=n\left(A\right),$ then $A=B.\$ Here A and B are any two sets and n denotes the cardinality.

a)

The statement is true.

b)

The statement is false.

19.

What is the centre of the circle passing through the points $\left(1,7\right),\ \left(7,-1\right),\ \left(8,6\right)?$

a)

(4,0)

b)

(4,3)

c)

(5,3)

d)

(3,4)

20.

How many three digit numbers are there with all distinct digits?

a)

729

b)

720

c)

504

d)

648

Talent Search - Preliminary Round

Total questions: 20

Worksheet time: 30mins

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