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Question
If abc is a three digit number, then the number abc – a – b – c is divisible by ______.
Options
9
90
10
11
MCQ
Fill in the Blanks
Solution
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.
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