Find the least length of a rod which can be cut into exactly equal strips, each of either 40cm or 48cm in length
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option B
Explanation:
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
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