IMO Mathematics Olympiad (SOF) Class 6: Questions 164  170 of 1049
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Question number: 164
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: 165
Question
Cube of any negative integer is
Choices
Choice (4)  Response  

a.  0 

b.  Negative 

c.  Depend on the nature of integer 

d.  Positive 

Question number: 166
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: 167
Question
If positive sign precedes a bracket the sign of the terms inside the bracket will ________ when the bracket is removed.
Choices
Choice (4)  Response  

a.  Change 

b.  Be 0 

c.  Depends on the bracket 

d.  Not change 

Question number: 168
Question
If a, b and c are whole numbers such that a = b and c 0 and c > 0, then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 169
Question
Which of the following is a perfect square?
Choices
Choice (4)  Response  

a.  36 

b.  36 & 81 

c.  37 

d.  81 

Question number: 170
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 
