Basic MathematicsArithmetic (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 18  23 of 25
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Question number: 18
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2014
Question
For a real number we denote by the largest integer less than or equal to . If are real number with , then which of the following statement is always true?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 19
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2013
Question
Let be real numbers such that,
For every natural number . Then is equal to – (Model Paper)
Choices
Choice (4)  Response  

a.  3 

b.  15 

c.  7 

d.  12 

Question number: 20
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
If , then equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 21
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2015
Question
Suppose are positive integers such that . Then is equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 22
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
Let be a polynomial such that , where is a positive integer. Then equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 23
» 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. 

