Sets, Relations and Functions (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 12  16 of 23
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 265 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 200.00 or
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 
