KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 117  120 of 172
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Question number: 117
» Limits & Continuity » Continuity
Appeared in Year: 2013
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
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
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
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 
