# Let N = a2607b be a six digit number divisible by 75, then 'a' can not be equal to? (A) 1 (B) 2 (C) 4 (D) 7

##### 1 Answer

Option (B)2

#### Explanation:

This can be solved by applying divisibility rule as follows .

Given number

This is to be divisible by 75 that means by 3 as well as 25

We know by divisibility rule that for any number divisible by 25 the number formed by the last two digits of the given number should be divisible by 25. In our case the number formed by last two digit should be 75 (i.e

Now we get the number

Now we are to check the divisibility of

To fulfill this condition the divisibility rule says that **sum of digits of** **should be divisible by 3**

This means

Among the given values of a, (**only '2' can not satisfy** the condition.

As for a= 1 ,

for a= 4 ,

for a= 7,