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Question

There are 2 two-digit numbers such that one has been obtained by swapping the digits of the other. The number obtained by subtracting the smaller number from the larger number, is divisible by



A

3

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B

4

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C

6

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D

12

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Solution

The correct options are
A

3


D

12


Let the number be ab.

(10a + b) – (10b + a) = 10a + b – 10b – a

                                  = 9a – 9b = 9(a – b).

Hence the number is divisible by 9 and 3.


Mathematics

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