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

Question

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 fillef to 1/3 of its capacity.

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

chetan2u · Accepted Answer

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.  
The values given are % of the total capacity and NO numeric value is given so insufficient
If  \frac{1}{2}  is pumped out, HALF will remain so  \frac{1}{2} = \frac{1}{3}- of -Total 
so present volume is  2*\frac{1}{3} = \frac{2}{3} 
 but no numeric value  
insuff

(2) If .75 kiloliter of gasoline were pumped into tank X, it would be filled to capacity. 
nothing on present status..
we can say present = total - 0.75
insuff

combined
present volume =  \frac{2}{3}  of total capacity =  \frac{2T}{3} , which is 0.75 less than total
 2\frac{T}{3} = T-0.75..............\frac{T}{3}=0.75................t=3*0.75 
suff

C

NinetyFour · Answer

Let's define "x" as the # of kiloliters of gasoline in tank X.
Let's define "n" as the max capacity of tank X.

Statement 1: 
x - x/2 = n/3 (in english: the current level of gasoline in tank x minus half the current amount will equal to 1/3 of the total capacity)
This is INSUFF because we have two variables

Statement 2:
x + 3/4 = n
Once again we have two variables, so this is INSUFF

Combined:
We have two equations so let's solve for a variable.

x - x/2 = n/3 -> 3x = 2n (cross multiply)
(x + 3/4 = n) * 2 = 2x + 6/4 = 2n

Subtract out "n" from above to get: x - 6/4 = 0
In other words the max capacity of tank X is 6/4 Kiloliters.

aggvipul · Answer

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

sanjna2023 · Answer

Statement 1 and 2 are not sufficient.

Combining,

Let tanks total volume be "T"

We know that  =1/3*T
Solve for T= 2.25

Sushil117 · Answer

(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 can be answered 
so answer C
x

dontmesswithme · Answer

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?

BrentGMATPrepNow · Answer

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

Answer: C

bumpbot · Answer

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

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

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