Which number is divisible by $9$ ?

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863

932

752

837

answer is D.

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Detailed Solution

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

863 = 8 + 6 + 3 = 17 .

It is clear that 17 is not a multiple of 9.
Thus, 863 cannot be divided by 9.
For option 2,
The sum of digits of

932 = 9 + 3 + 2 = 14 .

It is clear that 14 is not a multiple of 9.
Thus, 932 cannot be divided by 9.
For option 3,
The sum of digits of 752

= 7 + 5 + 2 = 14 .

It is clear that 14 is not a multiple of 9.
Thus, 752 cannot be divided by 9.
For option 4,
The sum of digits of 837 = 8 + 3 + 7 = 18.
18 is definitely a multiple of 9.
Therefore, 837 is a number that is divisible by 9.
Hence, option 4 is correct.

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