KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 84  87 of 172
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Question number: 84
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2014
Question
For a real number let denote the largest integer less than or equal to . The smallest positive integer for which the integer exceed 60 is –
Choices
Choice (4)  Response  

a.  9 

b.  10 

c.  8 

d. 


Question number: 85
» Basic Mathematics » Algebra » Solutions to Equations
Appeared in Year: 2014
Question
Suppose a parabola has two intercepts one positive and one negative, and its vertex is . Then which of the following is true –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 86
» Limits & Continuity » Trigonometric Functions
Appeared in Year: 2014
Question
Let be defined as,
The number of points in at which the function is continuous is –
Choices
Choice (4)  Response  

a.  4 

b.  2 

c.  0 

d.  6 

Question number: 87
» Sequence and Series » Sum Upto N Terms of Special Series
Appeared in Year: 2014
Question
Let be an integer. For a permutation of we let . Let be the sum of the roots of and let denote the sum over all permutation of of the number . Then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

