KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 48 - 53 of 172

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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 curves and have no point in common. The maximum possible value of is

Choices

Choice (4) Response

a.

36

b.

5

c.

30

d.

0

Question number: 49

» Integral Calculus » Evaluation of Simple Integrals

Appeared in Year: 2012

MCQ▾

Question

Let [x] and {x} are be the integer part and fractional part of a real number x respectively. The value of the integral, is –

Choices

Choice (4) Response

a.

5

b.

c.

35.5

d.

34.5

Question number: 50

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then equals,

Choices

Choice (4) Response

a.

2

b.

3

c.

d.

Question number: 51

» Coordinate Geometry » Straight Lines

Appeared in Year: 2013

MCQ▾

Question

If a, b are positive real numbers such that the lines and are parallel, then the least possible value of is–

Choices

Choice (4) Response

a.

8

b.

12

c.

13

d.

6

Question number: 52

» Differential Calculus » Geometric Interpretation of Derivative » Tangents

Appeared in Year: 2013

MCQ▾

Question

The sum of non-real roots of the polynomial equation

Choices

Choice (4) Response

a.

Equals 0

b.

Has absolute value bigger than 1

c.

Lies between 0 and 1

d.

Lies between -1 and 0

Question number: 53

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2012

MCQ▾

Question

Let for all. Let, and generally for n > 1.

Let, which of the following is a multiple of P

Choices

Choice (4) Response

a.

125

b.

375

c.

250

d.

147

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