Multiple choice

Glass A is filled with 2/3rd of wine and the remaining portion is filled with water. Similarly, glass B of same size is filled with 4/7th of wine and remaining with water. The contents of the two glasses are poured in a tumbler and mixed. The ratio of water to wine in the tumbler is:

  1. 2 : 3

  2. 5 : 7

  3. 7 : 9

  4. 8 : 13

  5. 9 : 14
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Glass A: Wine = 2/3, Water = 1/3. Glass B: Wine = 4/7, Water = 3/7. Total Wine = 2/3 + 4/7 = (14+12)/21 = 26/21. Total Water = 1/3 + 3/7 = (7+9)/21 = 16/21. Ratio of Water to Wine = (16/21) / (26/21) = 16/26 = 8/13.

AI explanation

Assume both glasses have a capacity of 21 units. Glass A contains 14 units of wine and 7 units of water, while glass B contains 12 units of wine and 9 units of water. In the tumbler, the total wine is 14 + 12 = 26 units and the total water is 7 + 9 = 16 units. The ratio of water to wine is 16 : 26, which simplifies to 8 : 13.

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