Sets, Relations and Functions (KVPY StreamSA (Class 11) Math): Questions 11  16 of 23
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Question number: 11
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2010
Question
22. If x, y are real numbers such that , then the value of is
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  0 

d.  1 

Question number: 12
» Sets, Relations and Functions » Union, Intersection and Complement of Sets
Appeared in Year: 2012
Question
Let S = {1, 2, 3 … 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A?
Choices
Choice (4)  Response  

a.  20 

b.  13 

c.  10 

d.  17 

Question number: 13
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2009
Question
How many positive real numbers x satisfy the equation,
Choices
Choice (4)  Response  

a.  1 

b.  4 

c.  6 

d.  3 

Question number: 14
» Sets, Relations and Functions » Types of Relations
Appeared in Year: 2012
Question
Let a, b, c be positive integers such that is a rational number, then which of the following is always an integer?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 15
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2014
Question
Let R be the set of all real numbers and let f be a function from R to R such that
for all x ∈ R. Then is equal to
Choices
Choice (4)  Response  

a.  2 

b.  4 

c.  2 

d.  0 

Question number: 16
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2015
Question
Two distinct polynomials f (x) and g (x) are defined as follows:
If the equations f (x) = 0 and g (x) = 0 have a common root then the sum of roots of the equation is
Choices
Choice (4)  Response  

a. 


b.  0 

c. 


d.  1 
