The least number of 4-digits which is exactly divisible by 9 is

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1008

1009

1027

1018

answer is A.

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Detailed Solution

We have to find, out of given options, which number is divisible by 9.
A given number is divisible by 9 if the sum of all of its digits is a multiple of 9 or divisible by 9.
For option 1,
The sum of digits of

1008 = 1 + 0 + 0 + 8 = 9 .

It is clear that 9 is divisible by 9.
Therefore, 1008 is divisible by 9.
For option 2,
The sum of digits of

1009 = 1 + 0 + 0 + 9 = 10 .

It is clear that 10 is not a multiple of 9.
Thus, 1009 cannot be divided by 9.
For option 3,
The sum of digits of 1027

= 1 + 0 + 2 + 7 = 10 .

It is clear that 10 is not a multiple of 9.
Thus, 1027 cannot be divided by 9.
For option 4,
The sum of digits of 1018 = 1 + 0 + 1+ 8 = 10.
10 is definitely not a multiple of 9.
Thus, 1018 cannot be divided by 9.
Therefore, 1008 is a number that is divisible by 9.
Hence, option 1 is correct.

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