Playing With Numbers (IMO Mathematics Olympiad Class 8): Questions 9  15 of 61
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Question number: 9
» Playing With Numbers
Question
The largest natural number by which the product of three consecutive even natural numbers is always divisible is________.
Choices
Choice (4)  Response  

a.  96 

b.  28 

c.  48 

d.  18 

Question number: 10
» Playing With Numbers
Question
If , where A and B are single digit number such that, then the values of A and B are________.
Choices
Choice (4)  Response  

a.  4, 5 

b.  4, 4 

c.  5, 5 

d.  None of the above 

Question number: 11
» Playing With Numbers
Question
If , where A and B are single digit number such that, then the values of B and A are________.
Choices
Choice (4)  Response  

a.  4, 5 

b.  5, 4 

c.  6, 9 

d.  9, 6 

Question number: 12
» Playing With Numbers
Question
The least value must be given to x so that the number 3128x4 is divisible by 8 is________.
Choices
Choice (4)  Response  

a.  1 

b.  3 

c.  4 

d.  2 

Question number: 13
» Playing With Numbers
Question
If a 3digit number ‘abc’ is divisible by 11, then________.
Choices
Choice (4)  Response  

a.  is a multiple of 11 

b.  is a multiple of 11 

c.  is a multiple of 11 

d.  is a multiple of 11 

Question number: 14
» Playing With Numbers
Question
A 3 digit number ‘cba’ is divisible by 9 if________.
Choices
Choice (4)  Response  

a.  a + b + 2c is divisible by 9 

b.  a + 2b + c is divisible by 9 

c.  a + b + c is divisible by 9 

d.  2a + b + c is divisible by 9 

Question number: 15
» Playing With Numbers
Question
If is divisible by 9, where is a digit less than 5, then the values of are________.
Choices
Choice (4)  Response  

a.  2 

b.  3 

c.  1 

d.  0 
