Question

If abc is a three digit number, then the number abc – a – b – c is divisible by ______.

पर्याय

• 9

• 90

• 10

• 11

Answer 1

If abc is a three digit number, then the number abc – a – b – c is divisible by 11.

Explanation:

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.