CBSE Class 8CBSE
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Concept: Tests of Divisibility - Divisibility by 5

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Look at the multiples of 5. 
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 
We see that the one’s digits are alternately 5 and 0, and no other digit ever appears in this list. 
So, we get our test of divisibility by 5. 
If the ones digit of a number is 0 or 5, then it is divisible by 5.
Let us explain this rule. Any number ... cba can be written as: 
... + 100c + 10b + a 
Since 10, 100 are divisible by 10 so are 10b, 100c, ... which in turn, are divisible by 5 because 10 = 2 × 5. As far as number a is concerned it must be divisible by 5 if the number is divisible by 5. So a has to be either 0 or 5.

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