Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 52  56 of 57
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Question number: 52
» 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: 53
» 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: 54
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2016
Question
In a circle with centre , suppose are three points on its circumference such that is the mid – point of minor arc . Suppose when ,
If is doubled to , then the ratio is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 55
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2016
Question
Let ; let A and B be points respectively on axis and axis such that . Let be a point in the first quadrant such that is an equilateral triangle. Then the slope of is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 56
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2016
Question
The Polynomial equation has,
Choices
Choice (4)  Response  

a.  three real roots for any , and exactly one real root for any 

b.  exactly one real root for any real 

c.  three real roots for any real 

d.  three real roots for any , and exactly one real root for any 
