KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 149  154 of 172
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Question number: 149
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2015
Question
The largest perfect square that divides is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 150
» Integral Calculus » Properties of Definite Integrals
Appeared in Year: 2015
Question
If is a cubic polynomial with , and , then
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  5 

d.  4 

Question number: 151
» Sets, Relations and Functions » Domain, Range
Appeared in Year: 2015
Question
Let ; where, is a real constant. The smallest for which for all is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 152
» Limits & Continuity » Real Valued Functions
Appeared in Year: 2015
Question
Let be a real number. Then the limit
is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 153
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
Let . Then –
Choices
Choice (4)  Response  

a. 


b. 


c.  is a rational number, but not an integer 

d.  is an irrational number 

Question number: 154
» Vector Algebra » Scalar and Vector Products
Appeared in Year: 2015
Question
Let and . Suppose that where is parallel to and is perpendicular to . Then is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

