Basic Mathematics (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  5 of 57
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Question number: 1
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2010
Question
Let be a differentiable function such that and for some a < b. Then the minimum numbers of roots of in the interval (a, b) is –
Choices
Choice (4)  Response  

a.  0 

b.  1 

c.  3 

d.  2 

Question number: 2
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2011
Question
Suppose The smallest possible integer value of c for all a, b > 1 is –
Choices
Choice (4)  Response  

a.  2 

b.  3 

c.  1 

d.  4 

Question number: 3
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2011
Question
The value of
is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 4
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2011
Question
Two players play the following game: A writes 3, 5, 6 on three different cards; B writes 8, 9, 10 on three different cards. Both draw randomly two cards from their collections. Then A computes the product of two numbers he/she has drawn, and B computes the sum of two numbers he/she has drawn. The player getting the larger number wins. What is the probability that A wins?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2010
Question
Let be a continuous function satisfying, for all. Then the number of elements in set is –
Choices
Choice (4)  Response  

a.  2 

b.  1 

c.  4 

d.  3 
