KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 141  148 of 265
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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. 


Question number: 147
» Basic Mathematics » Arithmetic » Number Games
Question
For the number of 4digit numbers of the form abab (in base 10), maximum prime number is –
Choices
Choice (4)  Response  

a.  103 

b.  37 

c.  101 

d.  97 

Question number: 148
» Basic Mathematics » Arithmetic » Rates
Question
A man in a train notices that he can count 26 telephone posts in one minute. If they are known to be 46 meter apart, they at what speed is the train travelling?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

