Playing With Numbers (IMO Mathematics Olympiad (SOF) Class 6): Questions 27  34 of 86
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Question number: 27
» Playing With Numbers
Question
The number 3, 116, 365 is divisible by
Choices
Choice (4)  Response  

a.  5 

b.  5 & 7 

c.  7 

d.  Question does not provide sufficient data or is vague 

Question number: 28
» Playing With Numbers
Question
Find the smallest number which will divide the greatest 3digit number and the greatest 5digit number exactly.
Choices
Choice (4)  Response  

a.  9 

b.  8 

c.  7 

d.  3 

Question number: 29
» Playing With Numbers
Question
Which of the following is a perfect square?
Choices
Choice (4)  Response  

a.  36 

b.  36 & 81 

c.  37 

d.  81 

Question number: 30
» Playing With Numbers
Question
A, M, T, I represent different nonzero digits, It is given that A + M + T + I – 11
A + M + I – 10
A + M – 1
Further in the following addition only one digit is given.
The sum will be?
Choices
Choice (4)  Response  

a.  Sum is 35725734 

b.  Sum is 35725792 

c.  Sum is 34425792 

d.  Sum is 35722292 

Question number: 31
» Playing With Numbers
Question
2592 is divisible by
Choices
Choice (4)  Response  

a.  6 

b.  8 

c.  3 

d.  All a. , b. and c. are correct 

Question number: 32
» Playing With Numbers
Question
The two numbers which have only 1 as their common factor are called
Choices
Choice (4)  Response  

a.  Twin primes 

b.  Coprimes 

c.  Composite 

d.  Even numbers 

Question number: 33
» Playing With Numbers
Question
The coprime numbers from the following pairs, is
Choices
Choice (4)  Response  

a.  27 and 81 

b.  18 and 26 

c.  45 and 16 

d.  24 and 32 

Question number: 34
» Playing With Numbers
Question
The smallest number which when divided by 4, 16, 32 and 40 and leaves a remainder of 3, 15, 31 and 39 respectively is
Choices
Choice (4)  Response  

a.  161 

b.  159 

c.  147 

d.  239 
