Question

Choose the number which are divisible by $15$.

• A. $746355$
• B. $234645$
• C. $599100$
• D. $35446$

Answer 1

Answer: (A), (B), (C)

$599100$

For a number to be divisible by $15$, it must be divisible by $3$ as well as $5$.

For number to be divisible by $3$, sum of its digit must be divisible by $3$.
$746355\to 7+4+6+3+5+5=30234645\to 2+3+4+6+4+5=24599100\to 5+9+9+1+1+0=2435446\to 3+5+4+4+6=22$

We can see that $746355,234645,599100$ are divisible by 3.

Also, if the number has $0$ or $5$ at it's unit place then the number is divisble by $5$.

$746355,234645,599100$ have '0' or '5' at its unit place. Hence, these are divisible by 5.

$\therefore 746355,234645,599100$ are divisible by 15.