UPSC Prelims 2015·CSAT·Quantitative Aptitude·Arithmetic

Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?

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Last updated 23 May 2026, 3:31 pm IST
  1. A7:17Correct
  2. B1:3
  3. C9:21
  4. D11:23

Explanation

Let the capacity of each glass be 1 unit. Glass 1: Milk = 1/3 unit Water = 1 - 1/3 = 2/3 unit Glass 2: Milk = 1/4 unit Water = 1 - 1/4 = 3/4 unit When contents are mixed in a pot: Total Milk = Milk from Glass 1 + Milk from Glass 2 Total Milk = 1/3 + 1/4 = (4 + 3)/12 = 7/12 units Total Water = Water from Glass 1 + Water from Glass 2 Total Water = 2/3 + 3/4 = (8 + 9)/12 = 17/12 units Ratio of Milk to Water = Total Milk : Total Water Ratio = (7/12) : (17/12) Ratio = 7 : 17 Analyzing the options: A) 7:17 - This matches our calculated ratio. B) 1:3 - Incorrect. This would imply 1 part milk for every 3 parts water. C) 9:21 - Incorrect. This simplifies to 3:7. D) 11:23 - Incorrect. The final answer is A.
Quantitative Aptitude: Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the con

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