# Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 5 of 14

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## Question number: 1

» Sets, Relations and Functions » Types of Relations

Appeared in Year: 2011

MCQ▾

### Question

Which of the following interval is possible domain of the function, where is the greatest integer not exceeding x and ?

### Choices

Choice (4) Response

a.

(0,1)

b.

(1,2)

c.

(2,3)

d.

(3,5)

## Question number: 2

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

Appeared in Year: 2010

MCQ▾

### Question

Consider the region and in the plane. Then the area of the region is

### Choices

Choice (4) Response

a.

100

b.

100π

c.

50π

d.

10 π

## Question number: 3

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

Appeared in Year: 2011

MCQ▾

### Question

Let X be a nonempty set and let P (X) denote the collection of all subsets of X. Define

Then equal to –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 4

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2012

MCQ▾

### Question

Let n be a natural number and let ‘a’ be a real number. The number of zeros of in the interval [-1,1] is

### Choices

Choice (4) Response

a.

2 if a < 0

b.

At least three for every value of a

c.

2 if a > 0

d.

At most one for every value of a

## Question number: 5

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

### Question

Let a, b, c, d be numbers in the set {1,2, 3,4, 5,6} such that the curves and have no point in common. The maximum possible value of is

### Choices

Choice (4) Response

a.

36

b.

5

c.

30

d.

0

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