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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #31794)