Playing With Numbers (IMO Mathematics Olympiad Class 8): Questions 47  54 of 61
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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 

Question number: 49
» Playing With Numbers
Question
If divided by 4 leaves a remainder of 1, and divided by 5 leaves a remainder of 4, then the one’s digit of N is________.
Choices
Choice (4)  Response  

a.  7 

b.  4 

c.  9 

d.  3 

Question number: 50
» Playing With Numbers
Question
Sum of the digit is divisible by 3 then the number is divisible by________.
Choices
Choice (4)  Response  

a.  7 

b.  5 

c.  3 

d.  2 

Question number: 51
» Playing With Numbers
Question
If the 3digit number 25x is divisible by 5, then the value of x (x < 1) is________.
Choices
Choice (4)  Response  

a.  0 

b.  2 

c.  4 

d.  5 

Question number: 52
» Playing With Numbers
Question
The number which is divisible by 8 is________.
Choices
Choice (4)  Response  

a.  12345 

b.  34568 

c.  15816 

d.  Both b. and c. are correct 

Question number: 53
» Playing With Numbers
Question
If the 3digit number 82x is divisible by 4, then the value of x is________.
Choices
Choice (4)  Response  

a.  2 

b.  5 

c.  4 

d.  3 

Question number: 54
» Playing With Numbers
Following Statement is true or false:
If a number is divisible by any number m, then it will also be divisible by each of the factor of m’. This statement is________.