KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 44 - 48 of 172

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Question number: 44

» Basic Mathematics » Algebra » Solutions to Equations

Appeared in Year: 2012

MCQ▾

Question

In the real number system, the equation 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 Equation 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.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 46

» Integral Calculus » Integration Using Trigonometric Identities

Appeared in Year: 2012

MCQ▾

Question

The value of the integralEquation , where Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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 Equation 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

Question number: 48

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

Question

Let a, b, c, d be numbers in the set {1, 2, 3, 4, 5, 6} such that the curvesEquation and Equation have no point in common. The maximum possible value of Equation is

Choices

Choice (4) Response

a.

36

b.

5

c.

30

d.

0

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