NEST (National Entrance Screening Test) Mathematics: Questions 27  35 of 50
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Question number: 27
» Limits & Continuity » Rational Functions
Question
is equal to:
Choices
Choice (4)  Response  

a.  5  
b.  2  
c.  0  
d.  4 
Question number: 28
» Limits & Continuity » Real Valued Functions
Question
If
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  All of the above 
Question number: 29
» Limits & Continuity » Continuity
Question
If the positive integer n is equal to
Choices
Choice (4)  Response  

a.  2  
b.  4  
c.  5  
d.  6 
Question number: 30
» Limits & Continuity » Continuity
Question
If the function be continuous at
Choices
Choice (4)  Response  

a.  6  
b.  3  
c.  12  
d.  All of the above 
Question number: 31
» Limits & Continuity » Continuity
Appeared in Year: 2017
Question
Let the function be defined as
Where for any real number denotes the greatest integer not exceeding t, then f is continuous at
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 32
» Integral Calculus » Fundamental Theorem of Calculus
Appeared in Year: 2016
Question
Suppose satisfies for all . Then is
Choices
Choice (4)  Response  

a.  1  
b. 
 
c. 
 
d. 

Question number: 33
» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System
Appeared in Year: 2017
Question
If are positive real numbers in geometric progression, then the graph of is curve that
Choices
Choice (4)  Response  

a.  Intersects the xaxis at two points  
b.  Is entirely above the xaxis  
c.  Is entirely tangent the xaxis  
d.  Is entirely below the xaxis 
Question number: 34
» Limits & Continuity » Algebra of Functions
Question
If , then is
Choices
Choice (4)  Response  

a.  1  
b.  3  
c.  0  
d. 

Question number: 35
» Binomial Theorem » Binomial Coefficents
Appeared in Year: 2016
Question
The number of terms that are integers in the binomial expansion of is
Choices
Choice (4)  Response  

a.  5  
b.  6  
c.  4  
d.  7 