# Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 21 - 23 of 23

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## Question number: 21

» Sets, Relations and Functions » Functions and Composition

MCQ▾

### Question

How many positive real numbers x satisfy the equation,

### Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

6

## Question number: 22

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2016

MCQ▾

### Question

Let be non – empty subsets of satisfying the following conditions:

(i) the numbers are distinct;

(ii) are pairwise disjoint.

(Here denotes the number of elements in the set . )

Then the maximum possible value of is –

### Choices

Choice (4) Response

a.

13

b.

16

c.

15

d.

14

## Question number: 23

» Sets, Relations and Functions » Functions Mapping and Types

Appeared in Year: 2016

MCQ▾

### Question

Let be a function defined on the set of all positive integers such that for all positive integers . If and , the value of is –

### Choices

Choice (4) Response

a.

32

b.

31

c.

33

d.

34

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