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What is the volume of milk present in a mixture of milk and water?
(1) When 2 liters of milk is added to the mixture, the resultant mixture has equal quantities of milk and water.
(2) The initial mixture had 2 parts of water to 1 part milk.
(1) When 2 liters of milk is added to the mixture, the resultant mixture has equal quantities of milk and water.
(2) The initial mixture had 2 parts of water to 1 part milk.
22 Jan 2026, 23:51
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What is the volume of milk present in a mixture of milk and water?
(1) When 2 liters of milk is added to the mixture, the resultant mixture has equal quantities of milk and water.
(2) The initial mixture had 2 parts of water to 1 part milk.
Let's look at each statement individually and then at both of them together (if required):
Statement 1: When 2 liters of milk is added to the mixture, the resultant mixture has equal quantities of milk and water.
Let the ratio of milk and water in the mixture be M:W (quantity of milk be M and water be W)
When 2 liters of milk is added to the mixture:
M+2 = W
M = W-2
However, we cannot deduce the value of M from here, and hence, Statement 1 is insufficient alone.
Statement 2: The initial mixture had 2 parts of water to 1 part milk.
From this, we only get to know that M:W = 1:2
However, even from this alone, we cannot deduce the value of M. Hence, Statement 2 is also insufficient alone.
Now, let's look at them together:
M:W = 1:2
W-2/W = 1/2
Hence, W = 4 liters and thus, M = 2 liters (Answer)
Hence, the correct answer should be Option (C): Both statements together are sufficient, but neither statement alone is sufficient.
(1) When 2 liters of milk is added to the mixture, the resultant mixture has equal quantities of milk and water.
(2) The initial mixture had 2 parts of water to 1 part milk.
Let's look at each statement individually and then at both of them together (if required):
Statement 1: When 2 liters of milk is added to the mixture, the resultant mixture has equal quantities of milk and water.
Let the ratio of milk and water in the mixture be M:W (quantity of milk be M and water be W)
When 2 liters of milk is added to the mixture:
M+2 = W
M = W-2
However, we cannot deduce the value of M from here, and hence, Statement 1 is insufficient alone.
Statement 2: The initial mixture had 2 parts of water to 1 part milk.
From this, we only get to know that M:W = 1:2
However, even from this alone, we cannot deduce the value of M. Hence, Statement 2 is also insufficient alone.
Now, let's look at them together:
M:W = 1:2
W-2/W = 1/2
Hence, W = 4 liters and thus, M = 2 liters (Answer)
Hence, the correct answer should be Option (C): Both statements together are sufficient, but neither statement alone is sufficient.
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