Solutions
Get detailed explanations to advanced GMAT questions.
Question
If set B is a subset of Set A, how many elements are in set A?
I. Set B has 14 elements
II. Exactly 80% of the elements in set A are not in Set B
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
EasySolution
Option C is the correct answer.
Option Analysis
Set A contains Set B. Question is number of elements is Set A?
Statement I is insufficient: Set B is 14 elements. So Set A has to be greater than or equal to 14. So still we don’t know how many elements. So not sufficient,
Statement II is insufficient: We don’t know how many elements in set B. We only know that 20% of elements in Set A are in Set B.
Together I and II sufficient, 14 elements in set B is 20% of elements in set A. So set A has 70 elements. So sufficient.
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