Sets, Relations and Functions (KVPY Stream SBSX (Class 12 & 1st Year BSC) Math): Questions 1  4 of 13
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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 