Sets, Relations and Functions (KVPY Stream-SA (Class 11) Math): Questions 1 - 5 of 23

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Question number: 1

» 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: 2

» 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: 3

» 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: 4

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2011

MCQ▾

Question

Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?

Choices

Choice (4) Response

a.

5(1+rπ)x=9

b.

5(1+r17)x=9

c.

5(1+2r)x=9

d.

5(1+1r)x=9

Question number: 5

» Sets, Relations and Functions » Sets and Their Representation

MCQ▾

Question

Let a, b, x, y be real numbers such that p2+q2=5 , x2+y2=125 and px+qy=25 . Then the set of all possible values of pyqx is –

Choices

Choice (4) Response

a.

(0,411]

b.

[411,)

c.

{0}

d.

(0,411)

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