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Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?
(1) The weight of Compound P is always three times the weight of Z.
(2) The weight of Z is always twice the weight of X.
  • 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?
Verified Answer
Compound P contains just three chemicals — X, Y, and Z. The thre...
Statement (1) says that the weight of Compound P is always three times the weight of Z.
If the weight of Compound P is always three times the weight of Z, we can set up an equation based on the given ratio:
5g of X : 15g of Y : zg of Z = 25g of X : yg of Y : 3zg of Z
Since the weight of Compound P is always three times the weight of Z, we have:
25g of X + yg of Y + 3zg of Z = 3zg of Z
This equation simplifies to:
25g of X + yg of Y = 2zg of Z
We can see that the equation only involves X, Y, and Z, which are the chemicals mentioned in the problem. Therefore, statement (1) alone is sufficient to answer the question.
Now, let's consider statement (2), which states that the weight of Z is always twice the weight of X.
If the weight of Z is always twice the weight of X, we can set up another equation based on the given ratio:
5g of X : 15g of Y : zg of Z = 25g of X : yg of Y : 2xg of X
Since the weight of Z is always twice the weight of X, we have:
25g of X + yg of Y + 2xg of X = zg of Z
This equation involves X, Y, and Z, which are the chemicals mentioned in the problem. Therefore, statement (2) alone is also sufficient to answer the question.
Both statement (1) and statement (2) individually provide enough information to determine the weight of Z that must be added to maintain the required overall proportion. Therefore, the correct answer is (D) EACH statement ALONE is sufficient to answer the question asked.
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Most Upvoted Answer
Compound P contains just three chemicals — X, Y, and Z. The thre...
Statement (1) says that the weight of Compound P is always three times the weight of Z.
If the weight of Compound P is always three times the weight of Z, we can set up an equation based on the given ratio:
5g of X : 15g of Y : zg of Z = 25g of X : yg of Y : 3zg of Z
Since the weight of Compound P is always three times the weight of Z, we have:
25g of X + yg of Y + 3zg of Z = 3zg of Z
This equation simplifies to:
25g of X + yg of Y = 2zg of Z
We can see that the equation only involves X, Y, and Z, which are the chemicals mentioned in the problem. Therefore, statement (1) alone is sufficient to answer the question.
Now, let's consider statement (2), which states that the weight of Z is always twice the weight of X.
If the weight of Z is always twice the weight of X, we can set up another equation based on the given ratio:
5g of X : 15g of Y : zg of Z = 25g of X : yg of Y : 2xg of X
Since the weight of Z is always twice the weight of X, we have:
25g of X + yg of Y + 2xg of X = zg of Z
This equation involves X, Y, and Z, which are the chemicals mentioned in the problem. Therefore, statement (2) alone is also sufficient to answer the question.
Both statement (1) and statement (2) individually provide enough information to determine the weight of Z that must be added to maintain the required overall proportion. Therefore, the correct answer is (D) EACH statement ALONE is sufficient to answer the question asked.
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Community Answer
Compound P contains just three chemicals — X, Y, and Z. The thre...
Understanding Compound P's Chemical Ratio
Compound P consists of chemicals X, Y, and Z in the ratio of 5:15:z. This means that for every 5 grams of X, there are 15 grams of Y, and z grams of Z.
Initial Situation
- Initial amounts:
- X = 5 grams
- Y = 15 grams
- Z = z grams
When 25 grams of X are added, we need to maintain the same ratio among the three chemicals.
Proportional Amount of Y
To find how much Y should be added:
- Initial ratio of X to Y is 5:15, which simplifies to 1:3.
- If 25 grams of X are added, the required amount of Y will be:
- Y = 3 * (25 grams of X) = 75 grams of Y.
Finding Weight of Z
To maintain the overall ratio after adding X and Y, we can express the new total weights:
- Total X = 25 grams
- Total Y = 75 grams
- Total Z = z grams (to be found)
Using the ratio 5:15:z, we can express z as:
- z = (Total Z)/(Total Y) * 15 = 25 * (z/5).
Evaluation of Statements
Now let’s evaluate the statements:
Statement (1): The weight of Compound P is always three times the weight of Z.
- This implies that the total weight (X + Y + Z) = 3z.
- Together with the known weights of X and Y, we can solve for Z.
Statement (2): The weight of Z is always twice the weight of X.
- This means Z = 2 * X. With X being 25 grams, Z = 50 grams.
- This gives a specific value for Z regardless of the required ratio.
Conclusion
Both statements provide sufficient information to determine the weight of Z needed after the addition of X and Y. Thus, each statement independently is sufficient.
Therefore, the correct answer is option 'D'.
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Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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?
Question Description
Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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 Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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 Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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?.
Solutions for Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
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If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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? defined & explained in the simplest way possible. Besides giving the explanation of Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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?, a detailed solution for Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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? has been provided alongside types of Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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? theory, EduRev gives you an ample number of questions to practice Compound P contains just three chemicals — X, Y, and Z. The three chemicals are required to be in the following ratio: 5 grams of X, 15 grams of Y, and z grams of Z. If 25 grams of X and a proportional amount of Y are added to the compound, what is the weight of Z that must also be added to maintain the required overall proportion?(1) The weight of Compound P is always three times the weight of Z.(2) The weight of Z is always twice the weight of X.a)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? tests, examples and also practice GMAT tests.
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