Question

The largest number of five digits which when divided by $16,24,30or36$ leaves the same remainder $10$ in each case is

• A. $99279$
• B. $99370$
• C. $99269$
• D. $99350$

Answer 1

The correct option is B $99370$

$\therefore LCM=2\times 2\times 2\times 3\times 2\times 5\times 3=720$
Largest number of 5 digits $=99999$
$\therefore$ Required number $=720\times 138+10=99370$