KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 112  116 of 172
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Question number: 112
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2014
Question
If is a positive integer and is a cube root of unity, the number of possible values of
is –
Choices
Choice (4)  Response  

a.  6 

b.  4 

c.  2 

d.  3 

Question number: 113
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
In a triangle , let G denote its centroid and let M, N be points in the interiors of the segments , respectively, such that are collinear. If denotes the ratio of the area of triangle to the area of then, (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 114
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2014
Question
Let . The number of elements in S such that is divisible by 19 is –
Choices
Choice (4)  Response  

a.  18 

b.  1 

c.  38 

d.  19 

Question number: 115
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2013
Question
Let be a positive integer. For a real number , let denoted the largest integer not exceeding and . Then,
is equal to – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 116
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2014
Question
Let be a continuous function such that . Which of the following statement is NOT necessarily true?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

