Basic Mathematics (KVPY Stream SBSX (Class 12 & 1st Year BSC) Math): Questions 25  28 of 53
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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 