KVPY StreamSA (Class 11) Math: Questions 89  93 of 265
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Question number: 89
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2009
Question
How many positive real numbers x satisfy the equation,
Choices
Choice (4)  Response  

a.  1 

b.  4 

c.  6 

d.  3 

Question number: 90
» Sets, Relations and Functions » Types of Relations
Appeared in Year: 2012
Question
Let a, b, c be positive integers such that is a rational number, then which of the following is always an integer?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 91
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
A cow is tied to a corner (vertex) of a regular hexagonal fenced area of side a meter by a rope of length meter in a grass field. (The cow cannot graze inside the fenced area. ) What is the maximum possible area of the grass field to which the cow has access to graze?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 92
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
In a rectangle ABCD, points X and Y are the midpoints of AD and DC, respectively. Lines BX and CD when extended intersect at E, lines BY and AD when extended intersect at F. If the area of ABCD is 60 then the area of BEF is.
Choices
Choice (4)  Response  

a.  90 

b.  80 

c.  60 

d.  120 

Question number: 93
» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients
Appeared in Year: 2014
Question
Let r be a root of the equation . The value of is equal to
Choices
Choice (4)  Response  

a.  126 

b.  51 

c.  126 

d.  51 
