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# If tank X contains only gasoline, how many kiloliters of gasoline are

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Re: If tank X contains only gasoline, how many kiloliters of gasoline are [#permalink]
In such questions there is even no need to solve
1. gives relative values- this constitutes equation 1
2. gives fixed value- this constitutes equation 2

Now when fixed value is substituted in relative value equation this would give the answer, hence C
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Re: If tank X contains only gasoline, how many kiloliters of gasoline are [#permalink]
Statement 1 and 2 are not sufficient.

Combining,

Let tanks total volume be "T"

We know that [(T-0.75)/2]=1/3*T
Solve for T= 2.25
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Re: If tank X contains only gasoline, how many kiloliters of gasoline are [#permalink]
(1) If 1/2 of the gasoline in tank X were pumped out, the tank would be fillef to 1/3 of its capacity.
means should be 2/3 .but not suff to answer

(2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.
not suff since don't know how much is in x already
together (1) and (2)
2/3X +1/3X=1 and said .75 would fill the x.so it must be 1/3
1/3X =.75
x
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Re: If tank X contains only gasoline, how many kiloliters of gasoline are [#permalink]
Hi Bunuel,
Can you please explain statement 1 as I had this slight doubt while solving it?
X- No. of litres of gasoline, C- Capacity
shouldn't it be like :- X- 1/2X= 1/3*C?
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If tank X contains only gasoline, how many kiloliters of gasoline are [#permalink]
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Bunuel wrote:
If tank X contains only gasoline, how many kiloliters of gasoline are in tank X.

(1) If 1/2 of the gasoline in tank X were pumped out, the tank would be filled to 1/3 of its capacity.

(2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.

Target question: How many kiloliters of gasoline are in tank X.

Statement 1: If 1/2 of the gasoline in tank X were pumped out, the tank would be filled to 1/3 of its capacity.
This tells us that, BEFORE half of the gasoline was pumped out, the tank was 2/3 full (in other words, BEFORE half of the gasoline was pumped out, the volume of the tank must have bean TWICE the volume after half the gas was pumped out).
So, all statement one tells us is that the tank is presently 2/3 full.
Statement 1 is NOT SUFFICIENT

Statement 2: If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity.
All this statement tells us is that the present volume all of the tank is 0.75 kiloliters short of being full.
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us is that the tank is presently 2/3 full.
Statement 2 tells us the present volume all of the tank is 0.75 kiloliters short of being full.
Combined, the two statements tell us that 0.75 kiloliters represents 1/3 of the tank's capacity.
Since the tank is presently 2/3 full, the volume in the tank = (2)(0.75) = 1.5 kiloliters
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

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Re: If tank X contains only gasoline, how many kiloliters of gasoline are [#permalink]
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Re: If tank X contains only gasoline, how many kiloliters of gasoline are [#permalink]
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