Playing With Numbers (IMO Mathematics Olympiad Class 6): Questions 50  57 of 86
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Question number: 50
» Playing With Numbers
Question
The smallest number which when divided by 9, 12, 24 and 30 and leaves a remainder of 2, 5, 17 and 23 respectively is
Choices
Choice (4)  Response  

a.  353 

b.  453 

c.  657 

d.  367 

Question number: 51
» Playing With Numbers
Question
The number (11, 23) are
Choices
Choice (4)  Response  

a.  Coprime numbers 

b.  Prime and coprime 

c.  Prime numbers 

d.  All of the above 

Question number: 52
» Playing With Numbers
Question
The least number of square tiles that will be needed to cover a room of 165 m by 45 m is
Choices
Choice (4)  Response  

a.  41 tiles 

b.  23 tiles 

c.  37 tile 

d.  33 tiles 

Question number: 53
» Playing With Numbers
Question
What is the least number to be subtracted from 1936 so that when divided by 9, 10 and 15 it will leave the same remainder in each case?
Choices
Choice (4)  Response  

a.  40 

b.  44 

c.  38 

d.  42 

Question number: 54
» Playing With Numbers
Question
A number is always divisible by 72 if
Choices
Choice (4)  Response  

a.  It is divisible by both 2 and 36 

b.  It is divisible by both 3 and 24 

c.  It is divisible by both 6 and 12 

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

Question number: 55
» Playing With Numbers
Question
When a number is divided by eight, it has a remainder of 2. When it is divided by nine, it has remainder of 1. What is the number?
Choices
Choice (4)  Response  

a.  34 

b.  10 

c.  15 

d.  12 

Question number: 56
» Playing With Numbers
Question
What least value should be given to * so that the number 653 * 47 is divisible by 11?
Choices
Choice (4)  Response  

a.  9 

b.  6 

c.  7 

d.  1 

Question number: 57
» Playing With Numbers
Question
The numbers which have more than two factors are called ________.
Choices
Choice (4)  Response  

a.  Prime & Composite 

b.  Prime 

c.  Composite 

d.  Question does not provide sufficient data or is vague 
