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The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.
- a)A : B = 1 : 2
- b)A : B = 2 : 1
- c)A : B = 1 : 3
- d)A : B = 2 : 3
- e)A : B = 3 : 2
Correct answer is option 'A'. Can you explain this answer?
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The ratios of spirit to wine in two flasks labelled as A and B, contai...
7/10. 3/4
11/15
45-44/60. 44-42/60
1. :. 2
1:2
11/15
45-44/60. 44-42/60
1. :. 2
1:2
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The ratios of spirit to wine in two flasks labelled as A and B, contai...
Given:
- Ratio of spirit to wine in flask A = 7:3
- Ratio of spirit to wine in flask B = 3:1
- Ratio of spirit to wine in the new mixture = 11:4
To find:
- Ratio in which the mixtures from flask A and flask B are mixed together to get the new mixture
Approach:
1. Let's assume that x units of mixture are taken from flask A and y units of mixture are taken from flask B to form the new mixture.
2. We need to find the ratio x:y.
Solution:
1. Let's assume that x units of mixture are taken from flask A and y units of mixture are taken from flask B to form the new mixture.
2. Since the ratio of spirit to wine in flask A is 7:3, the ratio of spirit to wine in x units of mixture taken from flask A will also be 7:3. Therefore, the amount of spirit in x units of mixture from flask A will be (7/10)x and the amount of wine will be (3/10)x.
3. Similarly, the amount of spirit in y units of mixture from flask B will be (3/4)y and the amount of wine will be (1/4)y.
4. The total amount of spirit in the new mixture will be (7/10)x + (3/4)y, and the total amount of wine will be (3/10)x + (1/4)y.
5. According to the given ratio of spirit to wine in the new mixture, (7/10)x + (3/4)y : (3/10)x + (1/4)y = 11:4.
6. Cross-multiplying, we get (7/10)x + (3/4)y = 11/4 * [(3/10)x + (1/4)y].
7. Simplifying the above equation, we get 28x + 30y = 33x + 55y.
8. Rearranging the equation, we get 2x = 25y.
9. Therefore, the ratio x:y = 25:2.
10. Simplifying the ratio, we get x:y = 25/2 : 1 = 12.5 : 1.
11. Comparing the above ratio with the given options, we find that the ratio A:B = 12.5:1 is closest to A:B = 1:2.
12. Therefore, the ratio in which the mixtures from flask A and flask B are mixed together to get the new mixture is A:B = 1:2 (option A).
- Ratio of spirit to wine in flask A = 7:3
- Ratio of spirit to wine in flask B = 3:1
- Ratio of spirit to wine in the new mixture = 11:4
To find:
- Ratio in which the mixtures from flask A and flask B are mixed together to get the new mixture
Approach:
1. Let's assume that x units of mixture are taken from flask A and y units of mixture are taken from flask B to form the new mixture.
2. We need to find the ratio x:y.
Solution:
1. Let's assume that x units of mixture are taken from flask A and y units of mixture are taken from flask B to form the new mixture.
2. Since the ratio of spirit to wine in flask A is 7:3, the ratio of spirit to wine in x units of mixture taken from flask A will also be 7:3. Therefore, the amount of spirit in x units of mixture from flask A will be (7/10)x and the amount of wine will be (3/10)x.
3. Similarly, the amount of spirit in y units of mixture from flask B will be (3/4)y and the amount of wine will be (1/4)y.
4. The total amount of spirit in the new mixture will be (7/10)x + (3/4)y, and the total amount of wine will be (3/10)x + (1/4)y.
5. According to the given ratio of spirit to wine in the new mixture, (7/10)x + (3/4)y : (3/10)x + (1/4)y = 11:4.
6. Cross-multiplying, we get (7/10)x + (3/4)y = 11/4 * [(3/10)x + (1/4)y].
7. Simplifying the above equation, we get 28x + 30y = 33x + 55y.
8. Rearranging the equation, we get 2x = 25y.
9. Therefore, the ratio x:y = 25:2.
10. Simplifying the ratio, we get x:y = 25/2 : 1 = 12.5 : 1.
11. Comparing the above ratio with the given options, we find that the ratio A:B = 12.5:1 is closest to A:B = 1:2.
12. Therefore, the ratio in which the mixtures from flask A and flask B are mixed together to get the new mixture is A:B = 1:2 (option A).
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The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer?
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The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer?.
The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer?.
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The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratios of spirit to wine in two flasks labelled as A and B, containing spirit and wine mixture, are 7 : 3 and 3 : 1, respectively. Some amounts of the mixtures from the two flasks are poured into a third flask. The new mixture now contains spirit and wine in the ratio of 11 : 4. Find the ratio in which the mixtures from the flask A and flask B are mixed together to get this new mixture.a)A : B = 1 : 2b)A : B = 2 : 1c)A : B = 1 : 3d)A : B = 2 : 3e)A : B = 3 : 2Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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