GMAT Quantitative Reasoning Practice Test 7

Question : 63 of 100

Marks: +1, -0

47 people are standing behind a large dais, what is least number of people, behind the dais, that are blonde haired and over 6 feet tall?
(1) The number of blond people is 35.
(2) The number of people who are less than 6 feet tall is 25.

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 47 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 25 people.
The minimum number of people in both groups is

25 + 35 − 47 = 13

.
Both statements, taken together, are sufficient.

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