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

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Question number: 11

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2010

MCQ▾

Question

22. If x, y are real numbers such that 3xy+13xy1=24 , then the value of x+yxy 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,

x33 x +2=0

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 a2+bb2+c is a rational number, then which of the following is always an integer?

Choices

Choice (4) Response

a.

2a2+b22b2+c2

b.

a2+2b2b2+2c2

c.

a2+b2c2a+bc

d.

a2+b2+c2a+cb

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

f(x)+(x+12)f(1x)=1

for all x ∈ R. Then 2f(0)+3f(1) 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:

f(x)=x2+ax+2

g(x)=x2+2x+a

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

Choices

Choice (4) Response

a.

12

b.

0

c.

12

d.

1

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