Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 25  28 of 57
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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. 


Question number: 27
» Basic Mathematics » Algebra » Solutions to Equations
Appeared in Year: 2014
Question
The under of integers for which has three real roots is –
Choices
Choice (4)  Response  

a. 


b.  55 

c.  1 

d.  25 

Question number: 28
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2014
Question
For each positive integer , let . Then the number of elements is for which is:
Choices
Choice (4)  Response  

a.  9 

b.  11 

c.  12 

d.  10 
