QUESTION

# Which is the greatest five digit number exactly divisible by 279 ?$A{\text{ 99603}} \\ B{\text{ 99837}} \\ {\text{C 99882}} \\ {\text{D None}} \\$

Hint- In order to solve this question, we will take the greatest five digit number and then divide the number with the given divisor. This will give the remainder and we can further use it to calculate the required result.

$\Rightarrow$ $\dfrac{{99999}}{{279}}$
$\Rightarrow$we get 358 as quotient and 117 as remainder.
$\Rightarrow$As we did not get the remainder as zero which verifies that it is exactly divisible so we will subtract the remainder from the greatest number in order to get the exact divisible greatest five digit number.
$\Rightarrow$99999-117
$\Rightarrow$99882
$\therefore$ Option C is correct.