KVPY StreamSA (Class 11) Math: Questions 29  33 of 265
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Question number: 29
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2009
Question
In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 10 and DC = 3 and the sides AB, BC and AC are integer, the inradius of ABC is
Choices
Choice (4)  Response  

a.  4 

b.  5 

c.  2 

d.  3 

Question number: 30
» Sequence and Series » Arithmetico  Geometric Progression
Appeared in Year: 2012
Question
If a, b, c, d are positive real numbers such that, , then is
Choices
Choice (4)  Response  

a.  1 

b. 


c.  2 

d.  All of the above 

Question number: 31
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2014
Question
Let a, b, c be nonzero real numbers such that a + b + c = 0; let and Then.
Choices
Choice (4)  Response  

a.  always 

b.  always 

c.  can take both positive and negative value 

d.  always 

Question number: 32
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2012
Question
In the figure, AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X. Then the ratio of the areas of triangles AXF and ABF is.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 33
» Sequence and Series » N Terms of Special Series (Squares & Cubes)
Appeared in Year: 2010
Question
The number of positive integers n in the set {1, 2, 3, …, 100} for which the number
is an integer is
Choices
Choice (4)  Response  

a.  4 

b.  6 

c.  7 

d.  14 
