wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Question 9

In the given question, out of four options, only one is correct. Write the correct answer.

If abc is a three-digit number, then number abc - a - b - c is divisible by
(a) 9
(b) 90
(c) 10
(d) 11

Open in App
Solution

We have, abc = 100a + 10b + c
abc - a - b - c = (100a + 10b + c) - a - b - c
= 100a - a + 10b - b
= 99a + 9b = 9(11a + b)
Hence, the given number abc - a - b - c is divisible by 9.

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon