KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 16 - 21 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 . Then the sum of all possible values of 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.

b.

c.

d.

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 , where P, Q, R are integers. Suppose , , , 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 , where a, b, c are integers. Suppose , , , and 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: 21

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2011

MCQ▾

Question

A man wants to reach a certain destination. One-sixth of the total distance is muddy while half the distance is tar road. For the remaining distance he takes a boat. His speed of traveling in mud, in water, on tar road is in the ratio 3: 4: 5. The ratio of the durations he requires to cross the patch of mud, stream and tar road is

Choices

Choice (4) Response

a.

b.

3: 8: 15

c.

10: 15: 18

d.

1: 2: 3

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