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# The total volume of a wooden wine container and a plastic wine contain

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
The total volume of a wooden wine container and a plastic wine contain  [#permalink]

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20 Aug 2018, 01:02
00:00

Difficulty:

55% (hard)

Question Stats:

59% (01:55) correct 41% (01:34) wrong based on 41 sessions

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The total volume of a wooden wine container and a plastic wine container is more than twice the volume of a steel wine container. Is the volume of a wooden wine container bigger than the volume of a steel wine container?

(1) The volume of a plastic wine container is smaller than the volume of a steel wine container.

(2) The volume of a plastic wine container is smaller than the volume of a wooden wine container.

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Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: The total volume of a wooden wine container and a plastic wine contain  [#permalink]

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20 Aug 2018, 04:09
The total volume of a wooden wine container and a plastic wine container is more than twice the volume of a steel wine container. Is the volume of a wooden wine container bigger than the volume of a steel wine container?

So W+P>2S
Is W>S

(1) The volume of a plastic wine container is smaller than the volume of a steel wine container.
$$P<S$$
Maximum value of P can be just more than S say ~S
W+P>2S......w+~S>2S......W>S
Sufficient

(2) The volume of a plastic wine container is smaller than the volume of a wooden wine container.
$$P<W$$...
Maximum value of P can be just near W, say ~W
So if W+P>2S....2W>2S...
W>S
Sufficient

D
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Re: The total volume of a wooden wine container and a plastic wine contain   [#permalink] 20 Aug 2018, 04:09
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