Question

Jessy decided to distribute $34545$ sweets among maximum possible poor people. Each of them got $15$ sweets.
How many sweets were left with Jessy?

• A. $0$
• B. $15$
• C. $1$

Answer 1

The correct option is A $0$

To determine number of sweets left with Jessy, we need to find the remainder left after dividing 34545 by 15.

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 $3$.
If a number has $0$ or $5$ at it's unit place then the number is divisble by $5$.

Sum of digits of the number is $=21$, which is a multiple of $3$, hence the number $34545$ is divisible by 3.

Also, there is $5$ at unit place, Which makes the number divisible by $5$.

No sweet was left with jessy because $34545$ is completely divisble by $15$.