Question

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

• A. $3\ratio10$
• B. $10\ratio3$
• C. $1\ratio1$
• D. $10\ratio13$

Answer 1

Answer: (C)

$1\ratio1$

Answer 2

Then correct answer is C: $1\ratio1$
Let's break down the steps and calculate the amount of milk and water in each container after each transfer:
Initially:
Glass: 500cc milk, 0cc water
Cup: 0cc milk, 500cc water
After transferring 150cc of milk from the glass to the cup:
Glass: 500cc-150cc=350cc milk, 0 cc water
Cup: 150cc milk, 500cc water
After transferring 150cc of the mixture from the cup back to the glass:
Glass: 350cc+150cc=500cc milk, 0cc water
Cup: 150cc-150cc=0cc milk,500cc water
Now let's calculate the ratios:
Amount of water in the glass to amount of milk in the cup:
$500cc\space{water}\ratio0cc\space{milk}$=Infinity(Since we cannot have a ratio of 0 in the denominator)
Amount of milk in the glass to amount of water in the cup:
$500 cc \space{milk}\ratio500 cc\space{ water} = 1\ratio1$