KVPY StreamSA (Class 11) Math: Questions 99  103 of 265
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Question number: 99
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Suppose the height of a pyramid with a square base is decreased by p % and the lengths of the sides of its square base are increased by p% (where p > 0). If the volume remains the same, then.
Choices
Choice (4)  Response  

a.  60 < p < 65 

b.  50 < p < 55 

c.  65 < p < 70 

d.  55 < p < 60 

Question number: 100
» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System
Appeared in Year: 2013
Question
If a, b are natural numbers such that , then the minimum possible value of ab is.
Choices
Choice (4)  Response  

a.  0 

b.  2 

c.  1 

d.  3 

Question number: 101
» Coordinate Geometry » Cartesian System of Rectangular Coordinates in Plane
Appeared in Year: 2012
Question
In the adjacent figures, which has the shortest path?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 102
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 39, 40, 41. The length of the main diagonal of the cuboid which joins a pair of opposite corners is
Choices
Choice (4)  Response  

a.  60 

b. 


c. 


d.  49 

Question number: 103
» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System
Question
If x, y are natural numbers such that , then the maximum possible value of xy is,
Choices
Choice (4)  Response  

a.  5200 

b.  41350 

c.  40596 

d.  51236 
