KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 117 - 121 of 172

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Question number: 117

» Limits & Continuity » Continuity

Appeared in Year: 2013

MCQ▾

Question

For real with define , where for a real number we denote by the largest integer less than or equal to . The number of points of discontinuity of in the interval is – (Model Paper)

Choices

Choice (4) Response

a.

18

b.

10

c.

0

d.

19

Question number: 118

» Integral Calculus » Fundamental Theorem of Calculus

Appeared in Year: 2013

MCQ▾

Question

For a real number let denote the largest integer less than or equal to and . The smallest possible integer value of for which exceeds 2013 is – (Model Paper)

Choices

Choice (4) Response

a.

90

b.

64

c.

63

d.

91

Question number: 119

» Sets, Relations and Functions » Functions and Composition

Appeared in Year: 2013

MCQ▾

Question

For given two functions,

and .

Which of the following statement are true?

Domain of Domain of

Domain of Domain of

Domain of Domain of

Domain of Domain of (Model Paper)

Choices

Choice (4) Response

a.

Only (i) and (iv)

b.

Only (i)

c.

Only (i) and (ii)

d.

Only (iii) and (iv)

Question number: 120

» Coordinate Geometry » Equations of a Line

Appeared in Year: 2013

MCQ▾

Question

If are positive real numbers such that the lines and are parallel, then the least possible value of is – (Model Paper)

Choices

Choice (4) Response

a.

6

b.

13

c.

12

d.

8

Question number: 121

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

Let of a triangle . These angles are satisfy the equations and . Then equals – (Model Paper)

Choices

Choice (4) Response

a.

b.

c.

d.

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