IMO Mathematics Olympiad (SOF) Class 8: Questions 741  748 of 1029
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Question number: 741
Question
The number is divisible by 11 for________.
Choices
Choice (4)  Response  

a.  Even value of n 

b.  For all Naturals numbers 

c.  Odd value of n 

d.  None of the above 

Question number: 742
Question
213456 is divisible by________.
Choices
Choice (4)  Response  

a.  2 

b.  7 

c.  5 

d.  Question does not provide sufficient data or is vague 

Question number: 743
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: 744
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: 745
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: 746
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: 747
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: 748
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 
