(abcd)13 – (dcba)13 is always divisible by?
Explanation:
Given, (abcd)13 – (dcba)13
∴ a × 133 + b × 132 + c × 13 + d – (d × 133 + c × 132 + b × 13 + a)
= a(133 - 1) + b (132 - 13) – c(132 - 13) – d(133 - 1)
Now each of these terms is divisible by 12, hence the number is also divisible by 12.
Hence, option (d).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.