Data Sufficiency: Comparing Two Integers

Hard Data Sufficiency Determining Sufficiency

Consider the integers a and b. We want to determine whether a is greater than b.

Statement (1): The sum of a and b is greater than 10.

Statement (2): The difference between a and b is less than 3.

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 together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

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