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# Jeffery is to fill a fish tank with water by filling a smaller tank an

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
Jeffery is to fill a fish tank with water by filling a smaller tank an  [#permalink]

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23 Aug 2018, 03:34
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Difficulty:

5% (low)

Question Stats:

86% (00:50) correct 14% (00:50) wrong based on 58 sessions

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Jeffery is to fill a fish tank with water by filling a smaller tank and then pouring the water into the larger tank. How much water, in cubic meters, can the larger fish tank hold?

(1) The smaller fish tank is 50 centimeters long, 20 centimeters wide, and 20 centimeters deep.
(2) Jeffery filled and emptied the smaller tank into the larger tank 25 times.

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Posts: 8023
Re: Jeffery is to fill a fish tank with water by filling a smaller tank an  [#permalink]

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23 Aug 2018, 04:44
Bunuel wrote:
Jeffery is to fill a fish tank with water by filling a smaller tank and then pouring the water into the larger tank. How much water, in cubic meters, can the larger fish tank hold?

(1) The smaller fish tank is 50 centimeters long, 20 centimeters wide, and 20 centimeters deep.
(2) Jeffery filled and emptied the smaller tank into the larger tank 25 times.

we are talking of larger tank and statement I and II individually do not help us ..
combined...
we know the volume of smaller tank and we know volume of larger tank is 25 times the smaller one..
sufficient...... don't waste any more time on it by solving
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Re: Jeffery is to fill a fish tank with water by filling a smaller tank an  [#permalink]

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27 Aug 2018, 02:58
Got lil confused.
Statement 2 doesn't tell us that the big tank was filled after pouring 25 smaller tanks.
I considered this as a trap and smashed E with pride
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Re: Jeffery is to fill a fish tank with water by filling a smaller tank an  [#permalink]

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27 Aug 2018, 08:33
Bunuel wrote:
Jeffery is to fill a fish tank with water by filling a smaller tank and then pouring the water into the larger tank. How much water, in cubic meters, can the larger fish tank hold?

(1) The smaller fish tank is 50 centimeters long, 20 centimeters wide, and 20 centimeters deep.
(2) Jeffery filled and emptied the smaller tank into the larger tank 25 times.

Question : How much water, in cubic meters, can the larger fish tank hold?

Statement 1: The smaller fish tank is 50 centimeters long, 20 centimeters wide, and 20 centimeters deep.

This statement gives us the volume of water in smaller tank but how many smaller tanks are emptied into larger tank to fill it is unknown hence

NOT SUFFICIENT

Statement 2: Jeffery filled and emptied the smaller tank into the larger tank 25 times.[/quote]

This statement gives us the number of smaller tank needed to fill the large tank but the volume of smaller tank in cubic centimeters can not be calculated therefore we can NOT calculate the volume of larger tank either hence

NOT SUFFICIENT

Combining the two statements

We know the volume of smaller tank from statement 1 which is 50*20*20 cubic centimeters

We also know One large Tank = 25* Smaller tank volume
hence large tank volume = 25*(50*20*20)

SUFFICIENT

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Re: Jeffery is to fill a fish tank with water by filling a smaller tank an   [#permalink] 27 Aug 2018, 08:33
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