KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 77  80 of 172
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Question number: 77
» 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: 78
» 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: 79
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2013
Question
Let and . Which of the following statements are true?
(i) Domain of = Domain of
(ii) Domain of = Domain of
(iii) Domain of = Domain of
(iv) Domain of = Domain of
Choices
Choice (4)  Response  

a.  Only (i) and (iv) 

b.  Only (i) 

c.  Only (iii) and (v) 

d.  Only (i) and (ii) 

Question number: 80
» 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 
