Playing With Numbers (IMO Mathematics Olympiad (SOF) Class 8): Questions 16  23 of 61
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Question number: 16
» Playing With Numbers
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: 17
» Playing With Numbers
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: 18
» Playing With Numbers
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: 19
» Playing With Numbers
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: 20
» Playing With Numbers
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: 21
» Playing With Numbers
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) 

Question number: 22
» Playing With Numbers
Question
A 4 digit number ‘abcd’ is divisible by 8 if________.
Choices
Choice (4)  Response  

a.  b + c + d is divisible by 8 

b.  a + 2b + c + d is divisible by 8 

c.  a + b + c is divisible by 8 

d.  a + b + c + d is divisible by 8 

Question number: 23
» Playing With Numbers
Question
If a number has unit digit any of 0, 2, 4, 6, 8. Then it is divisible by________.
Choices
Choice (4)  Response  

a.  3 

b.  2 

c.  9 

d.  5 
