Question

Amit, Sucheta and Neeti start running around a circular track and complete one round in 18 seconds, 24 seconds and 32 seconds respectively. In how many seconds will the three meet again at the starting point if they all have started running at the same time?

• A. 196
• B. 288
• C. 324
• D. 896
• E. 214

Answer 1

The correct option is B 288

Time taken,
$\begin{array}{cc}2& 18,24,32\\ 2& 9,12,16\\ 2& 9,6,8\\ 3& 9,3,4\\ & 3,1,4\end{array}$
$2\times 2\times 2\times 3\times 3\times 4=288$ seconds