IMO Mathematics Olympiad Class 6: Questions 163  169 of 1049
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Question number: 163
Question
There are 378 red cards in box. A boy takes out 9 red cards from it and replaces them by 14 blue cards. He continues to do so, till all red cards are replaced by blue cards. Find the number of blue cards put in the box?
Choices
Choice (4)  Response  

a.  438 

b.  658 

c.  588 

d.  348 

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 
