Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 1  7 of 23
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Question number: 1
» Sets, Relations and Functions » Sets and Their Representation
Appeared in Year: 2011
Question
Let a, b, x, y be real numbers such that , and . Then the set of all possible values of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  {0} 

Question number: 2
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2011
Question
Suppose a, b, c are three distinct real numbers. Let
When simplified, P (x) becomes,
Choices
Choice (4)  Response  

a.  0 

b.  x 

c.  1 

d. 


Question number: 3
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2011
Question
The number of distinct prime divisors of the number 512 ^{3} – 253 ^{3} – 259 ^{3} is,
Choices
Choice (4)  Response  

a.  6 

b.  7 

c.  4 

d.  5 

Question number: 4
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2011
Question
Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Sets, Relations and Functions » Sets and Their Representation
Question
Let a, b, x, y be real numbers such that , and . Then the set of all possible values of is –
Choices
Choice (4)  Response  

a. 


b. 


c.  {0} 

d. 


Question number: 6
» Sets, Relations and Functions » Equivalence Relations
Question
Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 7
» Sets, Relations and Functions » Functions and Composition
Question
Let , where P, Q, R are integers. Suppose , , , than values of P, Q and R are respectively,
Choices
Choice (4)  Response  

a.  2,2 & 4 

b.  3, 3 & 1 

c.  3, 4 & 2 

d.  2, 2 & 3 
