Basic MathematicsArithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 13  17 of 25
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Question number: 13
» 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: 14
» 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 

Question number: 15
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2013
Question
The number of integer with and containing at most two distinct digits is – (Model Paper)
Choices
Choice (4)  Response  

a.  324 

b.  252 

c.  280 

d.  360 

Question number: 16
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2014
Question
If is a positive integer and is a cube root of unity, the number of possible values of
is –
Choices
Choice (4)  Response  

a.  6 

b.  4 

c.  2 

d.  3 

Question number: 17
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2014
Question
Let . The number of elements in S such that is divisible by 19 is –
Choices
Choice (4)  Response  

a.  18 

b.  1 

c.  38 

d.  19 
