Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  5 of 14
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Question number: 1
» Sets, Relations and Functions » Types of Relations
Appeared in Year: 2011
Question
Which of the following interval is possible domain of the function, where is the greatest integer not exceeding x and ?
Choices
Choice (4)  Response  

a.  (0, 1) 

b.  (1, 2) 

c.  (2, 3) 

d.  (3, 5) 

Question number: 2
» Sets, Relations and Functions » Union, Intersection and Complement of Sets
Appeared in Year: 2010
Question
Consider the region and in the plane. Then the area of the region is
Choices
Choice (4)  Response  

a.  100 

b.  100π 

c.  50π 

d.  10 π 

Question number: 3
» Sets, Relations and Functions » Union, Intersection and Complement of Sets
Appeared in Year: 2011
Question
Let X be a nonempty set and let P (X) denote the collection of all subsets of X. Define
Then equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 4
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2012
Question
Let n be a natural number and let ‘a’ be a real number. The number of zeros of in the interval [1, 1] is
Choices
Choice (4)  Response  

a.  2 if a < 0 

b.  At least three for every value of a 

c.  2 if a > 0 

d.  At most one for every value of a 

Question number: 5
» 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 
