Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 6  10 of 14
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Question number: 6
» 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: 7
» 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: 8
» 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: 9
» Sets, Relations and Functions » Types of Relations
Appeared in Year: 2012
Question
Let and. A subset B of A is said to be a good subset if for every. Then the number of good subsets of A is –
Choices
Choice (4)  Response  

a. 


b. 


c.  1 

d. 


Question number: 10
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2012
Question
Let f: R ⟶ R be the function with. Then if and only if –
Choices
Choice (4)  Response  

a.  are all positive and distinct 

b.  are all distinct 

c.  At least two of are equal 

d. 

