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Question

For a 3 digit number abc, abc - cba is divisible by 99.


A

True

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B

False

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Solution

The correct option is A

True


Let the 3-digit number be abc.

abc = 100a+10b+c
(100a+10b+c)-(100c+10b+a) = 100a+10b+c-100c-10b-a
= 99a-99c = 99(a-c)


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