IMO Level 2- Mathematics Olympiad (SOF) Class 8: Questions 1 of 315

Appeared in Year: 2012

Question

MCQ▾

Which one of the following numbers is completely divisible by

Choices

Choice (4) Response

a.

181560

b.

c.

d.

Answer

c.

Explanation

Here , Where and are factors of .

So, if a number is divisible by and then it also divisible by .

And if a number is not divisible by and then it also not divisible by .

A number is divisible by 9 if the sum of the digits is divisible by 9

A number is divisible by 5 if it ends in 5 or 0

Option: A

is divisible by but it is not divisible by

It is also not divisible by .

Option: B

is divisible by but it is not divisible by

It is also not divisible by .

Option: C

is divisible by and (Sum of digits is 18 which is divisible by 5)

It is divisible by .

Option: D

is divisible by but it is not divisible by

It is also not divisible by .

Developed by: