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

Answer 1

We have, abc = 100a + 10b + c
$\therefore$ 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.