KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 80  82 of 172
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Question number: 80
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2013
Question
Let n be a positive integer such that,
Let be the number of digits in the binary expansion of n. Then the minimum and the maximum possible value of are,
Choices
Choice (4)  Response  

a.  5 and 16 

b.  4 and 17 

c.  5 and 17 

d.  4 and 16 

Question number: 81
» Statistics and Probability » Standard Deviation
Appeared in Year: 2014
Question
Let . A list of number has mean and standard deviation . A new list of numbers is made as follows: and for . The mean and the standard deviation of the list are and . Then which of the following is necessarily true?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 82
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Let be the diameter of a semicircle with centre . Let A be a variable point on the semicircle and B another point on the semicircle such that is parallel to . The value of for which the inradius of triangle is maximum, is – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

