Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 8  14 of 23
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Question number: 8
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2011
Question
Let , where a, b, c are integers. Suppose , , , and for some integer t. Then the value of t is
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  2 

d.  5 or more 

Question number: 9
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2014
Question
Let a, b, c be nonzero real numbers such that a + b + c = 0; let and Then.
Choices
Choice (4)  Response  

a.  always 

b.  always 

c.  can take both positive and negative value 

d.  always 

Question number: 10
» Sets, Relations and Functions » Equivalence Relations
Question
If p, q are real numbers such that, then the value of is,
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  0 

d.  3 

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. 

