KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 16 - 22 of 172

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Question number: 16

Appeared in Year: 2010

MCQ▾

Question

Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability that they form the vertices of an isosceles triangle is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 17

Appeared in Year: 2010

MCQ▾

Question

A circle touches the parabola y2 = 4x at (1,2) and also touches its directrix. The y-coordinates of the point of contact of the circle and the directrix is –

Choices

Choice (4) Response

a.

4

b.

3

c.

d.

Question number: 18

Appeared in Year: 2011

MCQ▾

Question

Suppose n is a natural number such that where is the square root of – 1. Then n is –

Choices

Choice (4) Response

a.

18

b.

9

c.

36

d.

72

Question number: 19

Appeared in Year: 2011

MCQ▾

Question

The minimum value of n for which

Choices

Choice (4) Response

a.

Is 101

b.

Is 121

c.

Is 151

d.

All of the above

Question number: 20

» Basic Mathematics » Arithmetic » Number Games

Appeared in Year: 2010

MCQ▾

Question

Suppose m, n are positive integers such that. The value of the expression is –

Choices

Choice (4) Response

a.

19

b.

21

c.

7

d.

13

Question number: 21

Appeared in Year: 2011

MCQ▾

Question

Let P be an m × m matrix such that P2 = P. Then (1 + P) n equals –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 22

Appeared in Year: 2011

MCQ▾

Question

Let A and B be any two n × n matrices such that the following conditions hold: AB = BA and there exist positive integers k and l such that (the identity matrix) and (the zero matrix). Then –

Choices

Choice (4) Response

a.

b.

c.

d.

for some integer m

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