IMO Mathematics Olympiad Class 8: Questions 705  712 of 1029
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Question number: 705
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: 706
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 

Question number: 707
Question
If and there is no carry on addition, then the value of B is________.
Choices
Choice (4)  Response  

a.  0 

b.  5 

c.  3 

d.  1 

Question number: 708
Question
If divided by 5 leaves a remainder of 4, and divided by 2 leaves a remainder of 1, then the one’s digit of N is________.
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  7 

d.  9 

Question number: 709
Question
If is divisible by 3, where x is a digit less than 5, then the values of x are________.
Choices
Choice (4)  Response  

a.  3 

b.  1 

c.  0 

d.  2 

Question number: 710
Question
If and there is no carry on addition, then the value of B is________.
Choices
Choice (4)  Response  

a.  3 

b.  1 

c.  5 

d.  4 

Question number: 711
Question
The difference of the squares of two consecutive odd integer is divisible by which of the following integers?
Choices
Choice (4)  Response  

a.  7 

b.  5 

c.  8 

d.  2 

Question number: 712
Question
A 5digit number xy721 is divisible by 3 such that x + y < 5, where x and y are digits, then possible values of (x, y) are________.
Choices
Choice (4)  Response  

a.  (1, 1), (2, 0) 

b.  (1, 2), (2, 0) 

c.  (0, 2), (2, 0) 

d.  (1, 1), (0, 2) 
