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The difference of a number consisting of two digits from the number formed by interchanging the digits is always divisible by
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- 10
- 9
- 11
- 6
Correct Option: B
Let the number be 10p + q
where q < p.
Number obtained by interchanging the digits = 10q + p
∴ Difference = 10p + q – 10q – p
Difference = 9p – 9q = 9 (p – q)
Hence, the difference is always
exactly divisible by 9.
