Question

Total numbers of $4$ digit-number which are not divisible by $5$ are?

• A. $7200$
• B. $3600$
• C. $14400$
• D. $1800$

Answer 1

The correct option is A

$7200$

Explanation for the correct option:

Find the required number of numbers.

It is required to find the number of four-digits number which is not divisible by $5$.

We know that there are $10$ digits $0,1,2,3,4,5,6,7,8,9$ in the decimal number system.

Also, we know that the number which is divisible by $5$ always ends with $0$ or $5$.

So, we have only $8$ options for the last digit.

We also know that the starting digit cannot be zero. So, we have $9$ options for the first digit and $10$ options for the remaining two digits.

So, the required number of numbers can be given by: $9·10·10·8=7200$.

Therefore, Total numbers of $4$ digit-number which are not divisible by $5$ are $7200$.

Hence, option $A$ is correct .