GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 10 Dec 2019, 07:05 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # A green bucket and a blue bucket are each filled to capacity post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager  Joined: 18 Jun 2004
Posts: 86
Location: san jose , CA
A green bucket and a blue bucket are each filled to capacity  [#permalink]

### Show Tags

1 00:00

Difficulty:

(N/A)

Question Stats: 83% (00:46) correct 17% (02:25) wrong based on 32 sessions

### HideShow timer Statistics

A green bucket and a blue bucket are each filled to capacity with several liquids, none of which combine with one another. Liquid A and liquid B each compose exactly 10% of the total liquid contained in the green bucket. Liquid C composes exactly 10% of the total liquid contained in the blue bucket. The entire contents of the green and blue buckets are poured into an empty red bucket, completely filling it with liquid (and with no liquid overflowing). What percent of the liquid now in the red bucket is not liquids A, B, or C?

(1) The total amount of liquids A, B, and C now in the red bucket is equal to 1.25 times the total amount of liquids A and B initially contained in the green bucket.

(2) The green and blue buckets did not contain any of the same liquids.

(A) Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) Each statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Director  Joined: 16 Jun 2004
Posts: 704

### Show Tags

3
I think it is C.

1. Insufficient - unclear if the green bucket has by any chance liquid C and that the blue bucket has liquid A & B.
2. Insufficient - not enough data.

Combining both statement we are clear the green bucket has A & B and no C. Similarly Blue bucket has C but no A& B.

Solving(for reasons of understanding)

Let X be the total capacity of the Blue buket and let Y be the capacity of Green bucket

We have from 1)
0.2X + 0.10Y = 1.25*0.2X
=>0.10Y = 0.20*0.25X
=>2Y=X

so, the Red bucket has X + Y=> 2Y +Y => 3Y litres of the total content from Blue and Green.

of the 3Y, A+B+C= 0.2X+0.10Y => 0.4Y + 0.10 Y => 0.50Y.
so the 'other' liquids' in the red bucket => 3Y - 0.5Y = 2.5Y

So the %age of 'other liquids' = (2.5Y/3.5Y) * 100 = nearly 72%
Joined: 31 Dec 1969
Location: Russian Federation
WE: Supply Chain Management (Energy and Utilities)

### Show Tags

I agree with you even i got the answer as C
CEO  Joined: 15 Dec 2003
Posts: 3346

### Show Tags

venksune wrote:
I think it is C.

1. Insufficient - unclear if the green bucket has by any chance liquid C and that the blue bucket has liquid A & B.
2. Insufficient - not enough data.

Combining both statement we are clear the green bucket has A & B and no C. Similarly Blue bucket has C but no A& B.

Solving(for reasons of understanding)

Let X be the total capacity of the Blue buket and let Y be the capacity of Green bucket

We have from 1)
0.2X + 0.10Y = 1.25*0.2X
=>0.10Y = 0.20*0.25X
=>2Y=X

so, the Red bucket has X + Y=> 2Y +Y => 3Y litres of the total content from Blue and Green.

of the 3Y, A+B+C= 0.2X+0.10Y => 0.4Y + 0.10 Y => 0.50Y.
so the 'other' liquids' in the red bucket => 3Y - 0.5Y = 2.5Y

So the %age of 'other liquids' = (2.5Y/3.5Y) * 100 = nearly 72%

Venksune, I'm not sure where you took the numbers i bolded in red. A is not sufficient as we don't know if some colors repeat in each bucket.
I got B.
A + B + X = G --> X=.9G
C + Y = BL --> Y=.9BL
Knowing B, we can say that X+Y = .9R
What is the OA?
Director  Joined: 16 Jun 2004
Posts: 704

### Show Tags

Paul,
We cant assume that both the blue bucket and the green bucket has equal quantity of liquids in them. Couple of issues in your approach

1. A+B +X = G (this is right), however X is not equal to .9G.Lets take some numbers here. Let the Green bucket have 10 litres of all the liquids. From the statement given, we know that A is 10% and B is 10%...meaning 1 litre of A and 1 litre of B - totalling to 2 litres of A&B together. The 0.2 in my explanation is the 20% of A&B in the Green bucket. So, per your approach X = 0.8G. This would not matter much, we have equation anyway.

2. Now, C+Y = BL (this is right), also Y=0.9 BL (this is fine too). However,

X+Y = 0.9R is wrong. Because, If the total amount of liquids in BL is 5 litres, then liquid C is 0.5litres. Or the 'other liquids' (Y) = 4.5 litres. Which means X + Y = 8 (from my above point 1) + 4.5 = 12.5 litres out of a total of 10 + 5 litres. 12.5/15 is not 0.9R, it is 0.8333R. Now, if you assume BL with some other number or Green with some other number the total %ages will change.

So without knowing the capacity of Green and BL bucket choice 'b' will have issues. We need to have some relationship for the liquids. This relationship is ascertained through statement 1 - which reads 'The total amount of liquids A, B, and C now in the red bucket is equal to 1.25 times the total amount of liquids A and B initially contained in the green bucket'.

I assume X= amount of liquid in Green, Y = amount of liquid in Blue
So, I have 0.2X + 0.10 Y =1.25*0.2X.

hope i was logical.
CEO  Joined: 15 Dec 2003
Posts: 3346

### Show Tags

Venksune, thanks for your detailed explanation. This is what I missed in the original question: Liquid A and liquid B each compose exactly 10% of the total liquid contained in the green bucket. Had A + B composed 10% of Green bucket, B would have been sufficient...
Non-Human User Joined: 09 Sep 2013
Posts: 13740
Re: A green bucket and a blue bucket are each filled to capacity  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: A green bucket and a blue bucket are each filled to capacity   [#permalink] 11 Sep 2018, 00:05
Display posts from previous: Sort by

# A green bucket and a blue bucket are each filled to capacity post reply Question banks Downloads My Bookmarks Reviews Important topics  