KVPY StreamSA (Class 11) Math: Questions 140  146 of 265
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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 

Question number: 145
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2015
Question
The largest nonnegative integer k such that 24^{k} divides 13! is
Choices
Choice (4)  Response  

a.  3 

b.  5 

c.  4 

d.  2 

Question number: 146
» Coordinate Geometry » Distance Formula
Question
The centre of a circle passing through the points (5, 3), (4, 5) and (2, 0) is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

