NEST (National Entrance Screening Test) Mathematics: Questions 1  8 of 50
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Question number: 1
» Limits & Continuity » Graphs of Simple Functions
Question
If
Choices
Choice (4)  Response  

a.  is differentiable at  
b.  is continuous at  
c.  is differentiable at  
d.  Question does not provide sufficient data or is vague 
Question number: 2
» Limits & Continuity » Continuity
Question
is equal to , where are resoectively.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 3
» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers
Question
If z is a complex number such that then the real part of is
Choices
Choice (4)  Response  

a.  0  
b. 
 
c. 
 
d. 

Question number: 4
» Differential Calculus » Increasing and Decreasing Functions
Question
The derivative of is
Choices
Choice (4)  Response  

a. 
 
b.  0  
c.  1  
d.  All of the above 
Question number: 5
» Limits & Continuity » Continuity
Question
Let and where are non–negative real numbers. The value of , if is continuous for all real is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 6
» Limits & Continuity » Continuity
Question
Suppose and is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 7
» Statistics and Probability » Probability
Appeared in Year: 2016
Question
In on office, of the employees have scooters and have cars. Among those who have scooters, do not have cars. The probability that an employee has a car given that he does not have a scooter is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 8
» Limits & Continuity » Continuity
Question
Let . if be continuous for all then is equal to
Choices
Choice (4)  Response  

a.  7  
b. 
 
c. 
 
d.  None of the above 