What is the volume that a certain jar can hold?

Question

What is the volume that a certain jar can hold?
 
(1) The jar currently holds 5 cups of soup.

(2) If 2 cups of soup are added to the jar when it is already  \frac{1}{3}  full of soup, the volume of soup in the jar will double.

fantaisie · Answer

I feel this is not a completely correct question, since one can only answer the volume in cups in this question, and not the actual volume of the jar. also, the first stem sounds ambigious - it's either the jar is fully filled with 5 cups, or it currently contains 5 cups, but we don't know if it is full of not. Please correct me if I am wrong.

(1) 5 cups
NOT SUFFICIENT since we don't know the volume of each cup

(2)
Total volume = V
Volume of a cup = C
 \frac{1}{3}V + 2C = 2V 
NOT SUFFICIENT since we don't know the volume of the cup

1, 2) Assuming one jar is filled with 5 cups
V = 5C
 \frac{1}{3}5C + 2C = 10C 
Stems contradict themselves (?)

AbdurRakib · Answer

Kaplan's Official Solution:

CORRECT ANSWER IS B.

Statement (1): insufficient. This tells us that the jar can hold at least 5 cups, but it doesn't tell us its maximum capacity. Eliminate choices (A) and (D).

Statement (2): sufficient. If adding 2 cups of soup doubles the volume, then there were already 2 cups of soup in the jar. So 2 cups = \frac{1}{3}  of the volume of the jar, and the total volume that the jar can hold is 2 × 3 = 6 cups. Therefore choice (B) is correct.

MathRevolution · Answer

There are 2 variables in the original condition (the original volume and capacity). In order to match the number of variables to the number of equations, we need 2 equations. However, since the condition 1) and the condition 2) each has 1 equation, there is high chance that C is the correct answer.

The condition 1) has 1 equation.
The condition 2) has 2 equations. Hence, the correct answer is B.

adiagr · Answer

Statement 1: Doesnt tell us about capacity of jar.

Statement 2:

Existing volume:  \frac{1}{3}  of total volume of jar (let us call total volume as V)

Final Volume: Twice of existing =  \frac{2}{3}  of V

Increase:  \frac{V}{3}

Now  \frac{V}{3}  = 2 cups.

V is known.

B is the answer.

Divyadisha · Answer

IMO it would be more clear if the question ask the volume in cups the jar can hold.

(1) The jar currently holds 5 cups of soup. We don't know how much it can hold i.e the capacity

2) If 2 cups of soup are added to the jar when it is already  \frac{1}{3}  full of soup, the volume of soup in the jar will double.

2 cups= 1/3rd of the volume

So, total volume would be 6 cups. Sufficient

B is the answer

sudhirmadaan · Answer

Suppose x volum is already in jar.
x+2 (cups)= 2x
x= 2 only no other number satisfy this plan. 
2 cups already in jar which constitutes 1/3 of the volume; hence 2*3 = 6 = total volume. B is suff

RDhin · Answer

Well made question 
A tricks you but doesnt tell the volume reference hence non sufficient 
B option gives you volume of jar and cup size volume, hence sufficient

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KarishmaB · Answer

In such a question, I would answer (E) and move on. The volume of a certain container has to be in terms of a standard unit such as gallons or litres. How do you say what is one cup? Neither statement gives the volume of a cup and hence you can't say what the volume of the jar is.

mdacosta · Answer

Can we please edit the question, i view it as incorrect? saying the jar can hold 6 cups is NS, what if a cup is 1 ounce? what if it's 100 ounces? When you say volume, I read it as a distinct, non-arguable amount.

iliavko · Answer

In Kaplan universe the volume is measured in cubic cups.

bumpbot · Answer

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What is the volume that a certain jar can hold?

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