Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 23  26 of 57
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Question number: 23
» 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: 24
» 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. 


Question number: 25
» Basic Mathematics » Algebra » Solutions to Equations
Appeared in Year: 2014
Question
Suppose a parabola has two intercepts one positive and one negative, and its vertex is . Then which of the following is true –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 26
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2013
Question
Let be a positive integer such that
Let be the number of digits in the binary expansion of . Then the minimum and maximum possible values of are – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

