KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 43 - 47 of 172

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Question number: 43

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2012

MCQ▾

Question

Let then –

Choices

Choice (4) Response

a.

f is strictly increasing function

b.

f is strictly decreasing function

c.

but for any

d.

f is a constant function:

Question number: 44

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2012

MCQ▾

Question

In the real number system, the equation has –

Choices

Choice (4) Response

a.

No solution

b.

Exactly two distinct solutions

c.

Infinitely many solutions

d.

Exactly four distinct solutions

Question number: 45

» Statistics and Probability » Probability of an Event

Appeared in Year: 2012

MCQ▾

Question

Let denote the sum of the first n positive integers. The numbers S1, S2, S3, …, S99 are written on 99 cards. The probability of drawing a card with an even number written on it is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 46

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2012

MCQ▾

Question

The value of the integral, where is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 47

» Sets, Relations and Functions » Equivalence Relations

Appeared in Year: 2012

MCQ▾

Question

Let n be a natural number and let ‘a’ be a real number. The number of zeros of in the interval [-1,1] is

Choices

Choice (4) Response

a.

2 if a < 0

b.

At least three for every value of a

c.

2 if a > 0

d.

At most one for every value of a

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