# Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 8 - 14 of 23

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## Question number: 8

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2011

MCQ▾

### Question

Let , where a, b, c are integers. Suppose , , , and for some integer t. Then the value of t is

### Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

5 or more

## Question number: 9

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2014

MCQ▾

### Question

Let a, b, c be non-zero real numbers such that a + b + c = 0; let and Then.

### Choices

Choice (4) Response

a.

always

b.

always

c.

can take both positive and negative value

d.

always

## Question number: 10

» Sets, Relations and Functions » Equivalence Relations

MCQ▾

### Question

If p, q are real numbers such that, then the value of is,

### Choices

Choice (4) Response

a.

2

b.

1

c.

0

d.

3

## Question number: 11

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2010

MCQ▾

### Question

22. If x, y are real numbers such that, then the value of is

### Choices

Choice (4) Response

a.

3

b.

2

c.

0

d.

1

## Question number: 12

» Sets, Relations and Functions » Union, Intersection and Complement of Sets

Appeared in Year: 2012

MCQ▾

### Question

Let S = {1,2, 3 … 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A?

### Choices

Choice (4) Response

a.

20

b.

13

c.

10

d.

17

## Question number: 13

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2009

MCQ▾

### Question

How many positive real numbers x satisfy the equation,

### Choices

Choice (4) Response

a.

1

b.

4

c.

6

d.

3

## Question number: 14

» Sets, Relations and Functions » Types of Relations

Appeared in Year: 2012

MCQ▾

### Question

Let a, b, c be positive integers such that is a rational number, then which of the following is always an integer?

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page