IMO Mathematics Olympiad Class 8: Questions 745  751 of 1029
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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 

Question number: 749
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 

Question number: 750
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.  5, 4 

c.  6, 9 

d.  9, 6 

Question number: 751
Question
If divided by 13 leaves a remainder of 11, and divided by 17 leaves a remainder of 9, then the one’s digit of N is________.
Choices
Choice (4)  Response  

a.  3 

b.  7 

c.  4 

d.  9 
