KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 139  144 of 265
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Question number: 139
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5,6, 8,9, 12 in some order. The ratio of the area of the pentagon to the area of the rectangle is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 140
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Question
In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles:
What is the perimeter of each of the smaller rectangles?
Choices
Choice (4)  Response  

a.  32 

b.  38 

c.  28 

d.  19 

Question number: 141
» Sets, Relations and Functions » Functions and Composition
Question
Let f (x) be a quadratic polynomial with and . Then the coefficient of x in f (x) is,
Choices
Choice (4)  Response  

a.  2 

b.  3 

c.  1 

d.  4 

Question number: 142
» Basic Mathematics » Geometry » Triangle and Properties
Question
In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 2 and DC = 3, the inradius of ABC is,
Choices
Choice (4)  Response  

a.  1 

b.  2 

c.  3 

d.  4 

Question number: 143
» Sequence and Series » Relation Between AM and GM
Question
Let p, q, r be three nonnegative integers such that. The maximum possible value of is,
Choices
Choice (4)  Response  

a.  520 

b.  680 

c.  690 

d.  703 

Question number: 144
» Basic Mathematics » Arithmetic » Number Games
Question
The largest nonnegative integer p such that 12^{p} divides 15! is
Choices
Choice (4)  Response  

a.  5 

b.  2 

c.  4 

d.  3 
