KVPY StreamSA (Class 11) Math: Questions 140  146 of 251
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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. 
