What is the cube root of w
(1) The 5th root of w is 64.
(2) The 15th root of w is 4.
Fifth roots aren’t exactly fun, and 15th roots are brutal. However, there’s no need to be intimidated by any calculation, no matter how brutal, in a data sufficiency problem.
Clue (1): \(\sqrt[5]{w} = 64\). So, \(w = 64^5\). Whatever that is, it is the value of w. SUFFICIENT. B, C, and E are out.
Clue (2): \(\sqrt[15]{w} = 4\). So, \(w = 4^15\). Whatever that is, it is the value of w. SUFFICIENT.
The correct answer is D.
When in comes to calculation in DS problems, just imagine that you have a scientific calculator or an excel sheet handy. If you can do it in excel or on a calculator – it’s sufficient.