GMAT Quantitative Reasoning Practice Test 8

Question : 39 of 76

Marks: +1, -0

On an IQ exam, each correct answer grants the examinee with 3 points but every wrong answer deducts 1 points. How much did Ernst get on the IQ exam?
(1) There are 50 questions in the IQ exam
(2) The ratio between the rights answers and the wrong answers that Ernst answered is 9 to 1.

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:

Define

C

as the number of correct answers and

W

as the number of wrong answers.
Statement (1) tells us that

C+W=50

.
Statement (2) tells us that

(50 {/} (9 + 1) = 5)

is the number of wrong answers and so 45 is the number of right ones. Using the numbers presented in the question we can answer the question of how much Ernst got. Thus, Statement (1) and (2) combined are sufficient.

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