Basic Mathematics (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 21  24 of 57
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Question number: 21
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2012
Question
Let (x, y) be a variable point on the curve . Then is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 22
» 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: 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. 

