Real Numbers (IMO Mathematics Olympiad (SOF) Class 10): Questions 76  83 of 89
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Question number: 76
» Real Numbers
Question
is equal to ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 77
» Real Numbers
Question
________
Choices
Choice (4)  Response  

a.  48 

b.  24 

c.  96 

d.  12 

Question number: 78
» Real Numbers
Question
is ________
Choices
Choice (4)  Response  

a.  Not a real number 

b.  An integer 

c.  A rational number 

d.  An irrational number 

Question number: 79
» Real Numbers
Question
Which of the following numbers has the terminating decimal representation?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 80
» Real Numbers
Question
Smaller number amongst and is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 81
» Real Numbers
Question
28 integers are chosen from the interval [104,208]. Show that there exit two of them having a common prime divisor.
Choices
Choice (4)  Response  

a.  2 

b.  0 

c.  3 

d.  1 

Question number: 82
» Real Numbers
Question
Choices
Choice (4)  Response  

a.  2 

b.  0 

c.  3 

d.  1 

Question number: 83
» Real Numbers
Question
a, b, c are real numbers such that and Prove that . When does the equality hold?
Choices
Choice (4)  Response  

a.  Equality hold when and 

b.  Equality hold when and 

c.  Equality hold when and 

d.  Equality hold when and 
