Sets, Relations and FunctionsFunctions and Composition (KVPY StreamSA (Class 11) Math): Questions 1  6 of 12
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Question number: 1
» 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: 2
» 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: 3
» 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 

Question number: 4
» 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: 5
» 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: 6
» 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 
