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What is the volume that a certain jar can hold?

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What is the volume that a certain jar can hold? [#permalink]

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New post 05 Jun 2016, 14:46
4
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (01:02) correct 44% (01:38) wrong based on 91 sessions

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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.

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What is the volume that a certain jar can hold? [#permalink]

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New post 06 Jun 2016, 08:41
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 (?)
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What is the volume that a certain jar can hold? [#permalink]

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New post 06 Jun 2016, 11:02
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AbdurRakib wrote:
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.



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.
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Re: What is the volume that a certain jar can hold? [#permalink]

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New post 06 Jun 2016, 22:11
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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.
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Re: What is the volume that a certain jar can hold? [#permalink]

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New post 07 Jun 2016, 01:12
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AbdurRakib wrote:
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.



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.
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Re: What is the volume that a certain jar can hold? [#permalink]

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New post 07 Jun 2016, 09:26
AbdurRakib wrote:
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.


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
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Re: What is the volume that a certain jar can hold? [#permalink]

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New post 07 Jun 2016, 22:13
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
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Re: What is the volume that a certain jar can hold? [#permalink]

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New post 08 Jun 2016, 05:35
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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Re: What is the volume that a certain jar can hold? [#permalink]

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New post 08 Jun 2016, 21:40
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AbdurRakib wrote:
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.


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.
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Re: What is the volume that a certain jar can hold? [#permalink]

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New post 14 Feb 2017, 00:09
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.

AbdurRakib wrote:
AbdurRakib wrote:
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.



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.
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Re: What is the volume that a certain jar can hold? [#permalink]

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New post 19 Feb 2017, 14:51
In Kaplan universe the volume is measured in cubic cups.
Re: What is the volume that a certain jar can hold?   [#permalink] 19 Feb 2017, 14:51
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