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B.
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Earlier discussion
2 older comments kept for context.
Oluwaseun Adeyemi
\(a_n = a_1r^{n-1}\)
\(a_2 = ar = 24\)
\(a_5 = ar^4 = 81\)
\(\cfrac{ar}{ar^4} = \cfrac{24}{81}\)
\(\cfrac{r^4}{r} = \cfrac{81}{24}\)
\(r^3 = \cfrac{27}{8}\)
\(r = \cfrac{3}{2}\)
Grace Ojikalu
The answer is B