Anumber is divisible by 4 if the last two digits are divisible by 4. true or false?

Correct

Proof:

If the number has only two digits, then--by premise--it is divisible by 4.

If the number X has >2 digits it can written as an expansion:

where n+1 is the number of digits. It is clear that, with the exception of the last two digits, all of the terms starting from hundreds up, are divisible by 4 (because 4 divides 100, divides 1000, divides 10000, and so on). But, again, the last two digits are given to be divisible by 4. Therefore the number X is divisible by 4 for any number of digits n+1.

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step-by-step explanation:

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