correct answer is: d) 984

Explanation

KaTeX parse error: KaTeX doesn't work in quirks mode. digits greatest number is KaTeX parse error: KaTeX doesn't work in quirks mode..
KaTeX parse error: KaTeX doesn't work in quirks mode. digits greatest number is KaTeX parse error: KaTeX doesn't work in quirks mode..
If we subtract KaTeX parse error: KaTeX doesn't work in quirks mode. from KaTeX parse error: KaTeX doesn't work in quirks mode., we get:
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
Now, if we divide KaTeX parse error: KaTeX doesn't work in quirks mode. by KaTeX parse error: KaTeX doesn't work in quirks mode. then we get,
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode. is quotient and KaTeX parse error: KaTeX doesn't work in quirks mode. is remainder.
Since we want a remainder of KaTeX parse error: KaTeX doesn't work in quirks mode. so we need to subtract the remainder KaTeX parse error: KaTeX doesn't work in quirks mode. from the divisor KaTeX parse error: KaTeX doesn't work in quirks mode..
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
Now, we need to add KaTeX parse error: KaTeX doesn't work in quirks mode. to KaTeX parse error: KaTeX doesn't work in quirks mode. so that we get the KaTeX parse error: KaTeX doesn't work in quirks mode. digits number which is completely divisible by KaTeX parse error: KaTeX doesn't work in quirks mode..
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode. is the KaTeX parse error: KaTeX doesn't work in quirks mode. digits number that is completely divisible by KaTeX parse error: KaTeX doesn't work in quirks mode..
And if we subtract KaTeX parse error: KaTeX doesn't work in quirks mode. from KaTeX parse error: KaTeX doesn't work in quirks mode. digits greatest number KaTeX parse error: KaTeX doesn't work in quirks mode. then we get the KaTeX parse error: KaTeX doesn't work in quirks mode. digits greatest number which must be subtract.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
So that, KaTeX parse error: KaTeX doesn't work in quirks mode. is the greatest number of KaTeX parse error: KaTeX doesn't work in quirks mode. digits which can be subtracted from the greatest number of KaTeX parse error: KaTeX doesn't work in quirks mode. digits, so that the remainder may be exactly divisible by KaTeX parse error: KaTeX doesn't work in quirks mode.
Ans: The greatest 3 digit number that can be subtracted from the greatest 5 digit number such that the remainder is exactly divisible by 123 is 984.

Another method to articulate this particular query is available:

1. What is the largest 3-digit number that can be subtracted from the largest 5-digit number to get a remainder divisible by 123?
2. Finding the greatest 3-digit number that, when subtracted from the greatest 5-digit number, leaves a remainder divisible by 123.
3. What is the largest subtraction that can be made from a 5-digit number by a 3-digit number to result in a remainder divisible by 123?