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A researcher combined x ounces of a saline solution that contained 20 percent saline, by volume, with y ounces of a saline solution that contained 5 percent saline, by volume, to produce z ounces of a saline solution that was 12 percent saline, by volume. What is the value of x?
(1) y = 16
(2) z = 30
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A researcher combined x ounces of a saline solution that contained 20 ...
Statement (1): y = 16
This statement tells us the value of y, which represents the number of ounces of a saline solution that contained 5 percent saline. However, it doesn't provide any specific information about the value of x or the total volume of the resulting solution (z). Therefore, statement (1) alone is not sufficient to determine the value of x.
Statement (2): z = 30
This statement tells us the value of z, which represents the total number of ounces of the resulting saline solution. However, it doesn't provide any specific information about the values of x or y. Therefore, statement (2) alone is not sufficient to determine the value of x.
Now let's consider both statements together. From statement (1), we know that y = 16. From statement (2), we know that z = 30. We are also given that the resulting solution is 12 percent saline.
We can set up the equation based on the given information:
0.2x + 0.05y = 0.12z
Substituting the values from statements (1) and (2):
0.2x + 0.05(16) = 0.12(30)
0.2x + 0.8 = 3.6
0.2x = 2.8
x = 14
Therefore, by considering both statements together, we can determine the value of x, which is 14 ounces.
Hence, the answer is D: EACH statement ALONE is sufficient to answer the question asked.
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Community Answer
A researcher combined x ounces of a saline solution that contained 20 ...
Statement (1): y = 16
This statement tells us the value of y, which represents the number of ounces of a saline solution that contained 5 percent saline. However, it doesn't provide any specific information about the value of x or the total volume of the resulting solution (z). Therefore, statement (1) alone is not sufficient to determine the value of x.
Statement (2): z = 30
This statement tells us the value of z, which represents the total number of ounces of the resulting saline solution. However, it doesn't provide any specific information about the values of x or y. Therefore, statement (2) alone is not sufficient to determine the value of x.
Now let's consider both statements together. From statement (1), we know that y = 16. From statement (2), we know that z = 30. We are also given that the resulting solution is 12 percent saline.
We can set up the equation based on the given information:
0.2x + 0.05y = 0.12z
Substituting the values from statements (1) and (2):
0.2x + 0.05(16) = 0.12(30)
0.2x + 0.8 = 3.6
0.2x = 2.8
x = 14
Therefore, by considering both statements together, we can determine the value of x, which is 14 ounces.
Hence, the answer is D: EACH statement ALONE is sufficient to answer the question asked.
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A researcher combined x ounces of a saline solution that contained 20 percent saline, by volume, with y ounces of a saline solution that contained 5 percent saline, by volume, to produce z ounces of a saline solution that was 12 percent saline, by volume. What is the value of x?(1) y = 16(2) z = 30a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?
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A researcher combined x ounces of a saline solution that contained 20 percent saline, by volume, with y ounces of a saline solution that contained 5 percent saline, by volume, to produce z ounces of a saline solution that was 12 percent saline, by volume. What is the value of x?(1) y = 16(2) z = 30a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A researcher combined x ounces of a saline solution that contained 20 percent saline, by volume, with y ounces of a saline solution that contained 5 percent saline, by volume, to produce z ounces of a saline solution that was 12 percent saline, by volume. What is the value of x?(1) y = 16(2) z = 30a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A researcher combined x ounces of a saline solution that contained 20 percent saline, by volume, with y ounces of a saline solution that contained 5 percent saline, by volume, to produce z ounces of a saline solution that was 12 percent saline, by volume. What is the value of x?(1) y = 16(2) z = 30a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
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