Analyzing Product of Two Variables

Very Hard Data Sufficiency Analyzing Information

Let $a$ and $b$ be two positive real numbers. We want to determine whether the product $ab$ is greater than 50.

Statement (1): The sum $a + b = 20$.

Statement (2): The difference $a - b = 10$.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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% Correct89%