Liqueur A contains 24 \% of alcohol. What is the alcohol concentration of the mixed cocktail of liqueur A and B? (1) The mixing ratio of liqueur A and B is 1: 4 (2) The alcohol concentration of liqueur B is 1.5 times greater than the alcohol concentration of the mixed cocktail.

Correct Answer is : Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

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.

GMAT Quantitative Reasoning Practice Test 6

Question : 47 of 100

Marks: +1, -0

Liqueur A contains

24 \%

of alcohol. What is the alcohol concentration of the mixed cocktail of liqueur A and B?
(1) The mixing ratio of liqueur

A

and

B

1: 4

(2) The alcohol concentration of liqueur B is 1.5 times greater than the alcohol concentration of the mixed cocktail.

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:

Statement (1) gives us the quantity of each of the liqueurs.
Statement (2) gives us the connection between the alcohol concentration of liqueur B and the mixed cocktail. The equation looks like this:

0.2 × 24+0.8(1.5 X)=X

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