If $a^{2}$ ends in an even number of zeros, then $a^{3}$ ends in an odd number of zeros.

True

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False

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Ambiguous

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Insufficient information

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Solution

The correct option is B False
False, $100 \times 100$ $= 10000$ ends in even number of zeros.

$100 \times 100 \times 100 = 1000000$ also ends in even number of zeros.

So the statement if $a^{2}$ ends in an even number of zeros, then $a^{3}$ ends in an odd number of zeros is not true for all cases.

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