a) 825531

b) 855231

c) 855531

d) 825231

correct answer is: a) 825531

Explanation

If we subtract ‘432’ from the given number ‘825963’ , then we find the greatest number which exactly divisible by ‘432’ .
So, the greatest number is =\left(825963-432\right)
\rightarrow 825531
\therefore 8255531 is the greatest number which must be subtracted from 825963 so that the remainder may be exactly divisible by 432 .
Ans: The greatest number is 825531.

Additional variations of this particular query are:

1. When 825963 is divided by 432, what is the greatest value to subtract for the remainder to be exactly divisible by 432?
2. If 825963 is divided by 432, what is the greatest number that, when subtracted, leaves a remainder divisible by 432?
3. When dividing 825963 by 432, what must be subtracted to achieve a remainder that is divisible by 432?
4. Find the maximum subtraction needed from 825963 in a division by 432 to get a remainder that is divisible by 432.