Question

The largest 4-digit number exactly divisible by 88 is ___.

• A. 9944
• B. 9988
• C. 9966
• D. 8888

Answer 1

The correct option is A 9944

The largest 4-digit number is 9999. By Euclid's division lemma -
$9999=88\times 113+55$
$\Rightarrow$We need to reduce 55 from 9999 so that the resulting number is divisible by 88.
i.e., $9999-55=9944$ is divisible by 88.
$\therefore$ 9944 is the largest 4-digit number divisible by 88.