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A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?
(1) Exactly 20 quarts of the mixture are needed.
(2) Exactly 10 quarts of the yellow paint are available.
(2) Exactly 10 quarts of the yellow paint are available.
- 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 'C'. Can you explain this answer?
Verified Answer
A certain mixture of paint requires blue, yellow, and red paints in ra...
Statement 1: To fulfill the ratio of blue : yellow : red = 2 : 3 : 1, we need exactly 20 quarts of the mixture. However, without knowing the availability of yellow paint, we cannot determine the answer to the question. Thus, statement 1 is insufficient.
Statement 2: With the knowledge that exactly 10 quarts of yellow paint are available, we still cannot answer the question definitively without knowing the required volume of the mixed paint. Different volume requirements could result in either enough or insufficient yellow paint. Therefore, statement 2 is insufficient.
Combined statements: When considering both statements together, we know that we need 10 quarts of yellow paint (from statement 1) and have 20 quarts of yellow paint (from statement 2). This guarantees that there is enough yellow paint to satisfy the requirement. Consequently, we can confidently answer the question. Therefore, the combined statements are sufficient.
Most Upvoted Answer
A certain mixture of paint requires blue, yellow, and red paints in ra...
Statement 1: To fulfill the ratio of blue : yellow : red = 2 : 3 : 1, we need exactly 20 quarts of the mixture. However, without knowing the availability of yellow paint, we cannot determine the answer to the question. Thus, statement 1 is insufficient.
Statement 2: With the knowledge that exactly 10 quarts of yellow paint are available, we still cannot answer the question definitively without knowing the required volume of the mixed paint. Different volume requirements could result in either enough or insufficient yellow paint. Therefore, statement 2 is insufficient.
Combined statements: When considering both statements together, we know that we need 10 quarts of yellow paint (from statement 1) and have 20 quarts of yellow paint (from statement 2). This guarantees that there is enough yellow paint to satisfy the requirement. Consequently, we can confidently answer the question. Therefore, the combined statements are sufficient.
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Community Answer
A certain mixture of paint requires blue, yellow, and red paints in ra...
Statement 1:
Exactly 20 quarts of the mixture are needed.
Statement 2:
Exactly 10 quarts of the yellow paint are available.
Approach:
We need to determine whether there is enough yellow paint to make the desired amount of the mixture. To do this, we can compare the available yellow paint with the required amount based on the given ratio.
Analysis:
Let's assume that the total amount of paint required for the mixture is represented by the variable 'x'. Based on the given ratio, we can determine the amounts of blue, yellow, and red paints required as follows:
- Blue paint: (2/6) * x = x/3
- Yellow paint: (3/6) * x = x/2
- Red paint: (1/6) * x = x/6
We need to compare the amount of yellow paint available with x/2.
From Statement 1:
Exactly 20 quarts of the mixture are needed.
This statement alone does not provide any information about the availability of yellow paint. Therefore, it is not sufficient to answer the question.
From Statement 2:
Exactly 10 quarts of the yellow paint are available.
This statement gives us the exact amount of yellow paint available, which is 10 quarts. However, without knowing the total amount of paint required for the mixture, we cannot determine whether there is enough yellow paint. Therefore, this statement alone is not sufficient to answer the question.
Combined Analysis:
Combining both statements, we know that exactly 20 quarts of the mixture are needed and exactly 10 quarts of yellow paint are available.
Since the total amount of paint required is 20 quarts, we can determine the required amount of yellow paint using the given ratio:
Yellow paint = (3/6) * 20 = 10 quarts
Since the available yellow paint is exactly 10 quarts, which is equal to the required amount, we can conclude that there is enough yellow paint to make the desired amount of the mixture.
Therefore, both statements together are sufficient to answer the question.
Answer:
Option (C)
Exactly 20 quarts of the mixture are needed.
Statement 2:
Exactly 10 quarts of the yellow paint are available.
Approach:
We need to determine whether there is enough yellow paint to make the desired amount of the mixture. To do this, we can compare the available yellow paint with the required amount based on the given ratio.
Analysis:
Let's assume that the total amount of paint required for the mixture is represented by the variable 'x'. Based on the given ratio, we can determine the amounts of blue, yellow, and red paints required as follows:
- Blue paint: (2/6) * x = x/3
- Yellow paint: (3/6) * x = x/2
- Red paint: (1/6) * x = x/6
We need to compare the amount of yellow paint available with x/2.
From Statement 1:
Exactly 20 quarts of the mixture are needed.
This statement alone does not provide any information about the availability of yellow paint. Therefore, it is not sufficient to answer the question.
From Statement 2:
Exactly 10 quarts of the yellow paint are available.
This statement gives us the exact amount of yellow paint available, which is 10 quarts. However, without knowing the total amount of paint required for the mixture, we cannot determine whether there is enough yellow paint. Therefore, this statement alone is not sufficient to answer the question.
Combined Analysis:
Combining both statements, we know that exactly 20 quarts of the mixture are needed and exactly 10 quarts of yellow paint are available.
Since the total amount of paint required is 20 quarts, we can determine the required amount of yellow paint using the given ratio:
Yellow paint = (3/6) * 20 = 10 quarts
Since the available yellow paint is exactly 10 quarts, which is equal to the required amount, we can conclude that there is enough yellow paint to make the desired amount of the mixture.
Therefore, both statements together are sufficient to answer the question.
Answer:
Option (C)
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A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer?
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A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer?.
A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer?.
Solutions for A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer?, a detailed solution for A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? has been provided alongside types of A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint to make the desired amount of the mixture?(1) Exactly 20 quarts of the mixture are needed.(2) Exactly 10 quarts of the yellow paint are available.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 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
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