Get detailed explanations to advanced GMAT questions.
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
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Option C is the correct answer.
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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