Which number is divisible by $9$ ?

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

863

932

752

837

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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.

Watch 3-min video & get full concept clarity