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Question

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


A

7200

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B

3600

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C

14400

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D

1800

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Solution

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 .


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