Playing With Numbers (IMO Mathematics Olympiad (SOF) Class 8): Questions 40  48 of 61
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Question number: 40
» Playing With Numbers
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 

Question number: 41
» Playing With Numbers
Following Statement is true or false:
A number is divisible by 5 when last digit of a number is 0 or 1. This statement is ________.
Question number: 42
» Playing With Numbers
Question
A 5digit number xy978 is divisible by 9 such that x + y < 5, where x and y are digits, then possible values of (x, y) are________.
Choices
Choice (4)  Response  

a.  (1, 2), (3, 0) and (2, 1) 

b.  (1, 2), (0, 3) and (2, 1) 

c.  (2, 1), (0, 3) and (1, 2) 

d.  None of the above 

Question number: 43
» Playing With Numbers
Question
If is divided by 5 leaves a remainder of 1, then one’s digit of must be________.
Choices
Choice (4)  Response  

a.  Either 1 or 2 

b.  Either 4 or 5 

c.  Either 1 or 4 

d.  All of the above 

Question number: 44
» Playing With Numbers
Question
21436587 is divisible by________.
Choices
Choice (4)  Response  

a.  2 

b.  5 

c.  9 

d.  7 

Question number: 45
» Playing With Numbers
Question
68790 is divisible by________.
Choices
Choice (4)  Response  

a.  5 

b.  3 

c.  4 

d.  None of the above 

Question number: 46
» Playing With Numbers
Question
113245 is divisible by________.
Choices
Choice (4)  Response  

a.  3 

b.  5 

c.  2 

d.  None of the above 

Question number: 47
» Playing With Numbers
Question
The difference of the squares of two consecutive even integer is divisible by which of the following integers?
Choices
Choice (4)  Response  

a.  4 

b.  9 

c.  2 

d.  5 

Question number: 48
» Playing With Numbers
Question
If is divided by 6 leaves a remainder of 3, then one’s digit of must be________.
Choices
Choice (4)  Response  

a.  Either 1 or 2 

b.  Either 9 or 2 

c.  Either 3 or 9 

d.  Question does not provide sufficient data or is vague 
