KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 105  108 of 172
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Question number: 105
» Sequence and Series » N Terms of Special Series (Squares & Cubes)
Appeared in Year: 2014
Question
Let be a circle of radius 1. For , let be a circle whose area equals the area of a square inscribed in . Then
Equals to: 
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 106
» Permutations and Combinations » Simple Applications
Appeared in Year: 2014
Question
Let X be a set of elements. The numbers of ordered pairs of subsets of such that satisfies:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 107
» Statistics and Probability » Standard Deviation
Appeared in Year: 2013
Question
Let . A list of numbers has mean and standard deviation . A new list of numbers is made as follows: . The mean and the standard deviation of the new list are . Which of the following is necessarily true? (Model Paper)
Choices
Choice (4)  Response  

a.  many or may not be equal to 

b. 


c. 


d. 


Question number: 108
» Sequence and Series » N Terms of Special Series (Squares & Cubes)
Appeared in Year: 2013
Question
For an integer let . Which of the following is true for all ? (Model Paper)
Choices
Choice (4)  Response  

a.  has at least four multiples of 5 

b.  has a prime 

c.  has at most six primes 

d.  has a multiple of 19 
