GMAT Quantitative Reasoning Practice Test 7

Question : 13 of 100

Marks: +1, -0

Each of the 850 local villagers in Lucia owns either a Golden Retriever or a Bernard. How many people own both?
(1) The number of villagers who own a Golden Retriever only is 300 .
(2) The number of villagers who own a Bernard only is 280 .

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:

Each one of the villagers, according to the question, has to own at least one of the two dogs.
Statement (1) is insufficient because it says nothing about the Bernard owners.
Statement (2) is insufficient because it says nothing about the Golden Retriever owners.
Combine the statements, all the information we need is present,

800 − 300 − 280

is equal to the number of people who own both races of dogs.

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