Let's analyze the statements:
Statement I: Ram's efficiency is 50\(\%\) more than Shyam's, but it doesn't give the specific number of days Shyam takes to complete the work. Statement II: Shyam finished the remaining work in 24 days after Ram worked for 4 days, but their relative efficiencies are unknown.
Even when combined, we don't have enough information to determine how many days Shyam alone takes to finish the entire work.
So, the correct option is (D): Both statements together are not sufficient to answer the question.