M05-32

Hello, yogi02, we cross paths again. The question is clear as is. If x were a variable within the set, then I agree that the question would have to state as much or reveal x as one of the members of the set, as in, {x, 3, 0, 1, -1, 0, 5, 1}. With that said, we are told that x is the mode of the set in Statement (1), so its value can be derived, based on the given information (except that it could be either 0 or 1, so it is NOT SUFFICIENT to answer the question); we are told that x is the median of another given set in Statement (2), so its value can be derived, this time conclusively. Unless x is stated as belonging to a given set or you see it within the brackets, you cannot assume that it appears within such a set. If you can come up with that question you referenced to show anyone who might read through these solutions exactly what you mean, that would be useful. I suspect that the unknown will also be clearly defined in either of the two ways I mentioned above.

- Andrew

I have a question: since we can have multiple modes, as in option 1, why x cannot be both of them?

It's like having a formula (x+2)*(x-7) = 0 ; x = -2 and 7.

Thanks!

When a DS question asks to find the value, then the statement is sufficient ONLY if you can get the single numerical value.

I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.