Question:medium

A glass contains 500cc of milk and a cup contains 500cc of water.From the glass,150cc of milk is transferred to the cup and mixed thoroughly. Next,150cc of this mixture is transferred from the cup to the glass.Now,the amount of water in the glass and the amount of milk in the cup are in the ratio

Updated On: Jan 15, 2026
  • \(3\ratio10\)
  • \(10\ratio3\)
  • \(1\ratio1\)
  • \(10\ratio13\)
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The Correct Option is C

Solution and Explanation

Initial state:

  • Glass: 500 cc milk, 0 cc water
  • Cup: 0 cc milk, 500 cc water

Step 1: Transfer 150 cc of milk from glass to cup

  • Glass: \(500 - 150 = 350\) cc milk
  • Cup: 150 cc milk + 500 cc water = 650 cc total volume

Step 2: Transfer 150 cc of mixture from cup back to glass

Calculate milk and water amounts in the 150 cc mixture:

  • Total in cup: 650 cc
  • Milk proportion: \( \frac{150}{650} = \frac{3}{13} \)
  • Water proportion: \( \frac{500}{650} = \frac{10}{13} \)

Amount transferred back to glass:

  • Milk: \( \frac{3}{13} \times 150 \approx 34.62 \) cc
  • Water: \( \frac{10}{13} \times 150 \approx 115.38 \) cc

Contents after Step 2:

  • Glass: \(350 + 34.62 \approx 384.62\) cc milk, \(0 + 115.38 \approx 115.38\) cc water
  • Cup: \(150 - 34.62 \approx 115.38\) cc milk, \(500 - 115.38 \approx 384.62\) cc water

Step 3: Determine final ratio of milk in glass to water in cup

\[ \text{Milk in Glass} : \text{Water in Cup} \approx 384.62 : 384.62 = \boxed{1 : 1} \]

Final Answer:

\[ \boxed{\text{Option (C): } 1 : 1} \]

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In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
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