Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 1 - 7 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 , and . Then the set of all possible values of is

Choices

Choice (4) Response

a.

b.

c.

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

When simplified, P (x) becomes,

Choices

Choice (4) Response

a.

0

b.

x

c.

1

d.

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.

b.

c.

d.

Question number: 5

» Sets, Relations and Functions » Sets and Their Representation

MCQ▾

Question

Let a, b, x, y be real numbers such that , and . Then the set of all possible values of is –

Choices

Choice (4) Response

a.

b.

c.

{0}

d.

Question number: 6

» Sets, Relations and Functions » Equivalence Relations

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.

b.

c.

d.

Question number: 7

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

Let , where P, Q, R are integers. Suppose , , , than values of P, Q and R are respectively,

Choices

Choice (4) Response

a.

2,2 & 4

b.

3, -3 & 1

c.

3, -4 & 2

d.

2, -2 & 3

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