Find the least length of a rod which can be cut into exactly equal strips, each of either 40cm or 48cm in length

A.

120cm

B.

240cm

C.

360cm

D.

480cm

Correct answer is B

The least length is \(\frac{40}{48}\) = \(\frac{5}{8}\)

for the rod to be cut in exactly equal trips

Ratio \(\frac{5}{6}\) : \(\frac{48}{40}\)

\(\frac{\frac{5}{6}}{\frac{40}{48}}\) = 1

\(\frac{5}{6}\) x \(\frac{48}{40}\) = \(\frac{240}{240}\) = 1

The least length = 240cm