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21 Aug 2019, 02:59
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B
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80% (01:06) correct
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What is the capacity of a particular container?
(1) The container currently contains 12 liters of fluid.
(2) If 6 liters are added to the container when it is half full of fluid, the amount of water in the bucket will increase by \(33\frac{1}{3}\)%.
(1) The container currently contains 12 liters of fluid.
(2) If 6 liters are added to the container when it is half full of fluid, the amount of water in the bucket will increase by \(33\frac{1}{3}\)%.
21 Aug 2019, 03:15
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Statement1: The container currently contains 12 liters of fluid.
-->The capacity of container ≥12 liters --> it could be 12,13 or any liters more than 12, including.
Insufficient
Statement2: let be the capacity of container x liters
--> \(\frac{x}{2}\) + 6= \(\frac{x}{2}\) + (\(\frac{x}{2} * \frac{1}{3}\) )= \(\frac{x}{2} + \frac{x}{6}\) =\(\frac{4x}{6}\) = \(\frac{2x}{3}\)
\(\frac{2x}{3} - \frac{x}{2}\)= 6
\(\frac{x}{6}\) = 6
x = 36
Sufficient
The answer is B.
-->The capacity of container ≥12 liters --> it could be 12,13 or any liters more than 12, including.
Insufficient
Statement2: let be the capacity of container x liters
--> \(\frac{x}{2}\) + 6= \(\frac{x}{2}\) + (\(\frac{x}{2} * \frac{1}{3}\) )= \(\frac{x}{2} + \frac{x}{6}\) =\(\frac{4x}{6}\) = \(\frac{2x}{3}\)
\(\frac{2x}{3} - \frac{x}{2}\)= 6
\(\frac{x}{6}\) = 6
x = 36
Sufficient
The answer is B.
19 Sep 2019, 03:07
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Bunuel
What is the capacity of a particular container?
(1) The container currently contains 12 liters of fluid.
(2) If 6 liters are added to the container when it is half full of fluid, the amount of water in the bucket will increase by \(33\frac{1}{3}\)%.
(1) The container currently contains 12 liters of fluid.
(2) If 6 liters are added to the container when it is half full of fluid, the amount of water in the bucket will increase by \(33\frac{1}{3}\)%.
Official Explanation
The question asks for the capacity of a container. This sounds like it might be a geometry question, but glancing at the data statements, we can see that they don't give us dimensions of the container, but rather proportional information about its volume. Let's go to the statements, evaluating them separately first.
Statement (1) tells us that the container currently holds 12 liters of fluid. The (total) capacity of the container could be 12 and it could be full; or, in another allowed case, the capacity could be greater and the container could be partly full. If we knew how full 12 liters was, we could infer the capacity, but we don't have that info. So Statement (1) is insufficient.
Statement (2) tells us, if we consider the capacity in liters C, that
C/2 + 6 = 4/3*C/2
On the right side, the "amount of water in the bucket" is , and it increases by , so it scales by . We have a single linear equation with one variable, so we'll be able to solve for C. Statement (2) is sufficient.
The correct answer is (B).
