Sets, Relations and FunctionsFunctions and Composition (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  5 of 7
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Question number: 1
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
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: 2
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
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 

Question number: 3
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2014
Question
Consider the function . Then is discontinuous –
Choices
Choice (4)  Response  

a.  At exactly one value of x 

b.  At exactly three value of x 

c.  At all real numbers 

d.  At exactly two value of x 

Question number: 4
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
Question
The midpoint of the domain of the function for real x is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2013
Question
Let and . Which of the following statements are true?
(i) Domain of = Domain of
(ii) Domain of = Domain of
(iii) Domain of = Domain of
(iv) Domain of = Domain of
Choices
Choice (4)  Response  

a.  Only (i) and (iv) 

b.  Only (i) 

c.  Only (iii) and (v) 

d.  Only (i) and (ii) 
