Caselets

Q: What is the final ratio of milk to water in Vessel C?

Correct Answer: Option B (2:1). Mixture from A (24L): Ratio 5:3 (total 8 parts). 1 part = 3L. Milk = 15L, Water = 9L. Mixture from B (36L): Ratio 7:5 (total 12 parts). 1 part = 3L. Milk = 21L, Water = 15L. Vessel C before adding pure milk: Milk = 15+21=36L, Water = 9+15=24L. After adding 12L pure milk: Milk = 36+12=48L, Water = 24L. Final Ratio = 48:24 = 2:1.

Q: How much milk is remaining in Vessel A after the transfer?

Correct Answer: Option B (35 liters). Initial mixture in A = 80L. Ratio 5:3. Initial Milk = (5/8)*80 = 50L. Milk transferred to C = 15L. Remaining Milk = 50 - 15 = 35 liters.

Q: What is the ratio of the remaining quantity of mixture in Vessel A to the remaining quantity of mixture in Vessel B?

Correct Answer: Option A (7:3). Remaining mixture in A = 80 - 24 = 56 liters. Remaining mixture in B = 60 - 36 = 24 liters. Ratio = 56 : 24 = 7 : 3.

Q: If 12 liters of water is added to Vessel C at the very end, what will be the percentage of milk in Vessel C?

Correct Answer: Option C (57.14%). Current quantities in C: Milk = 48L, Water = 24L. Add 12L water: Water becomes 36L. Total volume = 48 + 36 = 84L. Percentage of milk = (48 / 84) * 100 = (4 / 7) * 100 ≈ 57.14%.

Q: What is the difference between the total quantity of milk in Vessel C and the remaining water in Vessel B?

Correct Answer: Option C (38 liters). Total milk in C = 48L. Remaining mixture in B = 24L. Ratio 7:5. Remaining water in B = (5/12)*24 = 10L. Difference = 48 - 10 = 38 liters.

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Caselet Context & PassageSet 7: Mixture & Alligation

Vessel A contains 80 liters of a mixture of milk and water in the ratio 5:3. Vessel B contains 60 liters of a mixture of milk and water in the ratio 7:5. Vessel C is initially empty. First, 24 liters of the mixture is taken from Vessel A and poured into Vessel C. Next, 36 liters of the mixture is taken from Vessel B and poured into Vessel C. Finally, 12 liters of pure milk is added to Vessel C.

Q61

What is the final ratio of milk to water in Vessel C?

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Q62

How much milk is remaining in Vessel A after the transfer?

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Q63

What is the ratio of the remaining quantity of mixture in Vessel A to the remaining quantity of mixture in Vessel B?

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Q64

If 12 liters of water is added to Vessel C at the very end, what will be the percentage of milk in Vessel C?

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Q65

What is the difference between the total quantity of milk in Vessel C and the remaining water in Vessel B?

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Caselets

What is the final ratio of milk to water in Vessel C?

Community Discussion & Shortcut Formulas

How much milk is remaining in Vessel A after the transfer?

Community Discussion & Shortcut Formulas

What is the ratio of the remaining quantity of mixture in Vessel A to the remaining quantity of mixture in Vessel B?

Community Discussion & Shortcut Formulas

If 12 liters of water is added to Vessel C at the very end, what will be the percentage of milk in Vessel C?

Community Discussion & Shortcut Formulas

What is the difference between the total quantity of milk in Vessel C and the remaining water in Vessel B?

Community Discussion & Shortcut Formulas