Solutions
Get detailed explanations to advanced GMAT questions.
Question
Is the product of a positive integer and a negative integer is less than -10 ?
I. The positive integer is greater than 3
II. The negative integer is less than -2
Option A:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option B:
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option C:
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
Option D:
EACH statement ALONE is sufficient to answer the question asked.
Option E:
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Difficulty Level
MediumSolution
Option C is the correct answer.
Option Analysis
Let x be the positive integer and y be the negative integer. Question: Is x*y < -10?
Statement I is insufficient: Nothing about y. So not sufficient.
Statement II is insufficient: Nothing about x. So not sufficient.
Together I and II,
We know that x > 3 and y < -2
Both x and y are integers.
So x has to be minimum 4 and y has to be maximum -3
So 4*-3 is -12.
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