KVPY Stream-SA (Class 11) Math: Questions 16 - 20 of 265

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Question number: 16

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

Appeared in Year: 2011

MCQ▾

Question

Let a, b, c, d be real numbers such that ab =2, bc =3, cd =4 . Then the sum of all possible values of ad is,

Choices

Choice (4) Response

a.

18

b.

24

c.

9

d.

30

Question number: 17

» 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: 18

» Coordinate Geometry » Conic Sections

MCQ▾

Question

The diameter of one of the bases of a truncated cone is 400 mm. If the diameter of this base is increased by 25 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 25%. The radius of the other base (in mm) is-

Choices

Choice (4) Response

a.

90

b.

80

c.

100

d.

70

Question number: 19

» 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: 20

» 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

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