Sets, Relations and Functions (KVPY Stream-SA (Class 11) Math): Questions 6 - 10 of 23

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Question number: 6

» Sets, Relations and Functions » Equivalence Relations

MCQ▾

Question

Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?

Choices

Choice (4) Response

a.

3(rπ)x=11

b.

3(r15)x=11

c.

3(2r)x=11

d.

3(1r)x=11

Question number: 7

» Sets, Relations and Functions » Functions and Composition

MCQ▾

Question

Let f(x)=Px2+Qx+R , where P, Q, R are integers. Suppose f(1)=1 , 31<f(4)<37 , 53<f(5)<61 , than values of P, Q and R are respectively,

Choices

Choice (4) Response

a.

2, 2 & 4

b.

3, -3 & 1

c.

3, -4 & 2

d.

2, -2 & 3

Question number: 8

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2011

MCQ▾

Question

Let f(x)=ax2+bx+c , where a, b, c are integers. Suppose f(1)=0 , 40<f(6)<50 , 60<f(7)<70 , and 1000t<f(50)<1000(t+1) 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 q=a2+b2+c2 and r=a4+b4+c4 Then.

Choices

Choice (4) Response

a.

q2<2r always

b.

q2=2r always

c.

q22r can take both positive and negative value

d.

q2>2r always

Question number: 10

» Sets, Relations and Functions » Equivalence Relations

MCQ▾

Question

If p, q are real numbers such that 5pq+15pq1=120 , then the value of p+qpq is,

Choices

Choice (4) Response

a.

2

b.

1

c.

0

d.

3

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