Question

What is the least number which when divided by $12,21$ and $35$ will leave in each case the same remainder $6$?

• A. $414$
• B. $426$
• C. $420$
• D. $526$

Answer 1

The correct option is B $426$

Find the LCM as follows

$12=2\times 2\times 3$

$35=5\times 7$

$21=3\times 7$

LCM $=2\times 2\times 3\times 5\times 7$

$=420$.

Next add $6$ to $420$ to get $426$ as the answer.