Two equal glasses of the same type are respectively 1/3 and 1/4 full of milk. The glasses are then filled to the brim by adding w…

Quantitative Aptitude ·Previously asked in JKSSB Sub Inspector (Executive) 2017

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Question

Two equal glasses of the same type are respectively 1/3 and 1/4 full of milk. The glasses are then filled to the brim by adding water and the contents are mixed in a pot. What is the ratio of water to milk in the pot?

  1. A. 3 : 1
  2. B. 7 : 3
  3. C. 11 : 7
  4. D. 17 : 7 (Correct answer)

Correct Answer

Option D — 17 : 7

Detailed Solution & Explanation

The correct answer is 17 : 7.

Key Points

  • Let glass capacity = 12 units (LCM of 3 and 4).
  • Glass 1: milk = 4, water = 8. Glass 2: milk = 3, water = 9. Mixed: total milk = 4+3 = 7, total water = 8+9 = 17. Ratio water:milk = 17:7. This is a standard mixture and alligation problem.

Topics covered: JKPSI JKSSB 2017 Quantitative Aptitude Ratio & Proportion Mixtures