KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 107  109 of 172
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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 

Question number: 109
» Statistics and Probability » Probability
Appeared in Year: 2013
Question
A box contains coupons labeled . A coupon is picked at random and the number is noted. The coupon is put back into the box and a new coupon is picked at random. The new number is . Then the probability that one of the numbers divides the other is (in the options below denotes the largest integer less than or equal to ) (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

