KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 117 - 119 of 172

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Question number: 117

» Limits & Continuity » Continuity

Appeared in Year: 2013

MCQ▾

Question

For real Equation with Equation define Equation , where for a real number Equation we denote by Equation the largest integer less than or equal to Equation . The number of points of discontinuity of Equation in the interval Equation 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 Equation let Equation denote the largest integer less than or equal to Equation and Equation . The smallest possible integer value of Equation for which Equation 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,

Equation and Equation .

Which of the following statement are true?

Equation Domain of Equation Domain of Equation

Equation Domain of Equation Domain of Equation

Equation Domain of Equation Domain of Equation

Equation Domain of Equation Domain of Equation (Model Paper)

Choices

Choice (4) Response

a.

Only (i) and (iv)

b.

Only (i)

c.

Only (i) and (ii)

d.

Only (iii) and (iv)

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