Which greatest $5$ -digit number is exactly divisible by $75$ ?

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Solution

The greatest five-digit number is $99999$
$751333 9999 - 75 - - - - - - 24999 - 225 - - - - - - 02499 - 225 - - - - - 0249 - 225 - - - - - - 024$
$∴$ greatest $5$ - digit number $= 99999 - 24$
$= 99975$
Hence, the greatest $5$ - digit number is exactly divisible by $75$ is $99975 .$

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