KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 48  53 of 172
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Question number: 48
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
Question
Let a, b, c, d be numbers in the set {1,2, 3,4, 5,6} such that the curves and have no point in common. The maximum possible value of is
Choices
Choice (4)  Response  

a.  36 

b.  5 

c.  30 

d.  0 

Question number: 49
» Integral Calculus » Evaluation of Simple Integrals
Appeared in Year: 2012
Question
Let [x] and {x} are be the integer part and fractional part of a real number x respectively. The value of the integral, is –
Choices
Choice (4)  Response  

a.  5 

b. 


c.  35.5 

d.  34.5 

Question number: 50
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then equals,
Choices
Choice (4)  Response  

a.  2 

b.  3 

c. 


d. 


Question number: 51
» Coordinate Geometry » Straight Lines
Appeared in Year: 2013
Question
If a, b are positive real numbers such that the lines and are parallel, then the least possible value of is–
Choices
Choice (4)  Response  

a.  8 

b.  12 

c.  13 

d.  6 

Question number: 52
» Differential Calculus » Geometric Interpretation of Derivative » Tangents
Appeared in Year: 2013
Question
The sum of nonreal roots of the polynomial equation
Choices
Choice (4)  Response  

a.  Equals 0 

b.  Has absolute value bigger than 1 

c.  Lies between 0 and 1 

d.  Lies between 1 and 0 

Question number: 53
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
Question
Let for all. Let, and generally for n > 1.
Let, which of the following is a multiple of P
Choices
Choice (4)  Response  

a.  125 

b.  375 

c.  250 

d.  147 
