GMAT Quantitative Reasoning Practice Test 7

Question : 62 of 100

Marks: +1, -0

There are 45 people on the quay, what is the most and the least number of people that are both sailors and erudite?
(1) The number of sailors is 28.
(2) The number of erudite people is 30.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Validate

Solution:

Use statements (1) and (2) together. You can see that the number of people in each of the groups together sums up to a number, which is more than 45 and therefore there must be an overlapping between the groups. The maximum number of people in both groups is the size of the smaller group, thus 28 people.
The minimum number of people in both groups is

28 + 30 − 45 = 13

. Both statements, taken together, are sufficient.

Go to Question:

Prev Question

Next Question