Question

The smallest number which when divided by $4,6,10,15$ gives the same remainder $3$ is

• A. $75$
• B. $123$
• C. $63$
• D. $39$

Answer 1

The correct option is C $63$

L.C.M of $4,6,10and15$
$4=2\times 2$
$6=2\times 3$
$10=2\times 5$
$15=3\times 5$
L.C.M of $4,6,10and15=2\times 2\times 3\times 5=60$
$\therefore therequirednumber=60+3=63$