What is the <strong>LARGEST</strong> 5-digit number, which leaves remainder 7, when divided by 18 as well as by 11?

Explanation

The LCM of 18 and 11 is 198. The required number must be in the form of 198k + 7. The largest 5-digit number divisible by 198 is 99990 (198 \times 505). Adding the remainder 7 gives 99997.

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