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

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.

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.

- If 175 billion French francs is equivalent to 35 billion United States dollars, which of the following…

- A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer…

- Larissa and Steve each drove the same distance from City X to City Y in separate cars. Did it take longer for…

- If |x| > 3, which of the following must be true?

- If x/y = 2/3 , then (x-y)/x =

- Copyright © 2020. All Rights Reserved. Crafted by Pixelmattic