KVPY Stream-SA (Class 11) Math: Questions 1 - 5 of 251

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Question number: 1

» Basic Mathematics » Arithmetic » Ratio and Proportion

MCQ▾

Question

Two friends P and Q are 50 km apart and they start simultaneously on cycles to meet each other. The speed of P is 4 times than that of Q. The distance between them decreases at the rate of 2 km per minute. Fifteen minutes after they start, P’s cycle breaks down and P stops and waits for Q to arrive. After how much time (in minutes) P started riding, does Q meet P?

Choices

Choice (4) Response

a.

55

b.

70

c.

60

d.

65

Question number: 2

» Sets, Relations and Functions » Sets and Their Representation

Appeared in Year: 2011

MCQ▾

Question

Let a, b, x, y be real numbers such that a2+b2=81 , x2+y2=121 and ax+by=99 . Then the set of all possible values of aybx is

Choices

Choice (4) Response

a.

(0,911]

b.

(0,911)

c.

[911,)

d.

{0}

Question number: 3

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2011

MCQ▾

Question

Suppose a, b, c are three distinct real numbers. Let

P(x)=(xb)(xc)(ab)(ac)+(xc)(xa)(bc)(ba)+(xa)(xb)(ca)(cb)

When simplified, P (x) becomes,

Choices

Choice (4) Response

a.

0

b.

x

c.

1

d.

x2+(a+b+c)(ab+bc+ca)(ab)(bc)(ca)

Question number: 4

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2011

MCQ▾

Question

The number of distinct prime divisors of the number 512 3 – 253 3 – 259 3 is,

Choices

Choice (4) Response

a.

6

b.

7

c.

4

d.

5

Question number: 5

» Sequence and Series » Sum Upto N Terms of Special Series

Appeared in Year: 2011

MCQ▾

Question

The expression, 22+1221+32+1321+42+1421++(2011)2+1(2011)21 lies in interval

Choices

Choice (4) Response

a.

(2011t2011;2011t2012)

b.

(2011,201112)

c.

(2010,201012)

d.

(2012,201212)

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