Basic MathematicsArithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 11  14 of 25
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Question number: 11
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2012
Question
The number of ordered pairs (m, n), where such that 6^{m} + 9^{n} is a multiple of 5 is –
Choices
Choice (4)  Response  

a.  500 

b.  2500 

c.  1250 

d.  625 

Question number: 12
» 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: 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 
