Playing With Numbers (IMO Mathematics Olympiad Class 8): Questions 32  38 of 61
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Question number: 32
» Playing With Numbers
Question
The least value of x so that 517x324 is divisible by 3 is________.
Choices
Choice (4)  Response  

a.  4 

b.  2 

c.  3 

d.  5 

Question number: 33
» Playing With Numbers
Question
If a 3digit number ‘abc’ is divisible by 4, then________.
Choices
Choice (4)  Response  

a.  is a multiple of 4 

b.  is a multiple of 4 

c.  is a multiple of 4 

d.  is a multiple of 4 

Question number: 34
» Playing With Numbers
Question
When a certain number is multiplied by 12, the product consists entirely of fours. The smallest such number is________.
Choices
Choice (4)  Response  

a.  3715 

b.  3701 

c.  3703 

d.  3700 

Question number: 35
» Playing With Numbers
Question
A 3 digit number ‘abc’ is divisible by 3 if________.
Choices
Choice (4)  Response  

a.  a + b + c is divisible by 3 

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

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

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

Question number: 36
» Playing With Numbers
Question
The least value of x so that 48176x3 is divisible by 9 is________.
Choices
Choice (4)  Response  

a.  9 

b.  11 

c.  5 

d.  7 

Question number: 37
» Playing With Numbers
Question
The least value must be given to x so that the number 6148x2 is divisible by 8 is________.
Choices
Choice (4)  Response  

a.  1 

b.  4 

c.  2 

d.  3 

Question number: 38
» Playing With Numbers
Question
If a 5digit number ‘abcde’ is divisible by 8, then________.
Choices
Choice (4)  Response  

a.  is a multiple of 8 

b.  is a multiple of 8 

c.  is a multiple of 8 

d.  is a multiple of 8 
