Sets, Relations and Functions (KVPY Stream-SA (Class 11) Math): Questions 12 - 16 of 23

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 265 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 200.00 or

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,

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 Equation is a rational number, then which of the following is always an integer?

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 15

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2014

MCQ▾

Question

Let R be the set of all real numbers and let f be a function from R to R such that

Equation

for all x ∈ R. Then Equation is equal to

Choices

Choice (4) Response

a.

2

b.

-4

c.

-2

d.

0

Question number: 16

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2015

MCQ▾

Question

Two distinct polynomials f (x) and g (x) are defined as follows:

Equation

Equation

If the equations f (x) = 0 and g (x) = 0 have a common root then the sum of roots of the equation Equation is

Choices

Choice (4) Response

a.

Equation

b.

0

c.

Equation

d.

1

f Page
Sign In