Question

If two ropes of equal length are divided into $18$ and $27$ pieces of equal size, then the length of the ropes can be

• A. $54$
• B. $72$
• C. $108$
• D. $144$

Answer 1

Answer: (A), (C)

The correct options are
A $54$
C $108$

Minimum length of the rope will be L.C.M. of $18$ and $27$
$18=2\times 3^2$
$27=3^3$
L.C.M. $=2\times 3^3=54$

Other possibilities of length will be the multiple of $54.$