Question

is the smallest number which leaves 3 as remainder when divided by 25 and 20 separately.

• A. 50
• B. 100
• C. 150
• D. 103

Answer 1

The correct option is D 103

Using ladder diagram,
LCM of $20$ and $25$ is $2\times 2\times 5\times 5=100$
$100$ is the smallest number which is divisible by both $25$ and $20$.

Now to find the number that leaves remainder $3$ when divided by both $20$ and $25$, we add $3$ to the LCM of $20$ and $25$.
$\therefore 103$ is the smallest number which leaves $3$ as the remainder when divided by $20$ and $25$ separately.