What is the value of x? A) x2 = 25 B) x > 0

Concept: In a data-sufficiency question, a statement (or combination of statements) is sufficient only if it narrows x down to exactly one possible value; if more than one value remains consistent with the given information, that statement (or combination) is insufficient.

Applying this to the question:

1. Statement A alone: x2 = 25 gives x = 5 or x = -5 — two possible values, so Statement A alone does not fix a unique x.

2. Statement B alone: x > 0 is satisfied by infinitely many positive numbers (1, 2, 3.5, 100, and so on), so Statement B alone does not fix a unique x either.

3. Combining A and B: from Statement A, x can only be 5 or -5; Statement B eliminates -5 since it is not greater than 0. The only value left is x = 5 — a single, unique value.

Cross-check: x = 5 satisfies both x2 = 25 (52 = 25) and x > 0. Since neither statement individually isolates one value, but together they leave exactly one, both statements are needed.

Hence, both statements together are required to determine x, and neither is sufficient alone.