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

 It is currently 18 Oct 2019, 17:28

### 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

# If 1/3 of a barrel's contents is emptied with each turn of the wheel,

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58453
If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

11 Jan 2018, 23:40
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:04) correct 31% (01:42) wrong based on 61 sessions

### HideShow timer Statistics

If 1/3 of a barrel's contents is emptied with each turn of the wheel, what fraction of a full barrel remains after 2 turns of the wheel?

A. 1/9
B. 4/7
C. 4/9
D. 2/3
E. 8/9

_________________
Manager
Joined: 23 Feb 2017
Posts: 58
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

12 Jan 2018, 02:16
one turn of wheel empty 1/3 of barrel
two turns of wheel empty 2/3 of barrel

After that remaining = 1-2/3 = 1/3

Bunuel: Can you please check the answer options or my explanation and please correct me If I am wrong.
_________________
+1 Kudos if you find it helpful.
Math Expert
Joined: 02 Sep 2009
Posts: 58453
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

12 Jan 2018, 03:49
mandeey wrote:
one turn of wheel empty 1/3 of barrel
two turns of wheel empty 2/3 of barrel

After that remaining = 1-2/3 = 1/3

Bunuel: Can you please check the answer options or my explanation and please correct me If I am wrong.

No. The answer is not correct. Let's wait for others to reply.
_________________
Intern
Joined: 30 May 2017
Posts: 36
GMAT 1: 730 Q49 V41
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

12 Jan 2018, 03:54
If 1/3 of a barrel's contents is emptied with each turn of the wheel, what fraction of a full barrel remains after 2 turns of the wheel?

A. 1/9
B. 4/7
C. 4/9
D. 2/3
E. 8/9

Let 9 be the vol. of the barrel.

After 1 turn of wheel vol. left =9-3=6;
after 2nd turn vol left 6-2=4
Hence req fraction is 4/9
Senior Manager
Joined: 07 Jul 2012
Posts: 367
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

12 Jan 2018, 05:52
Volume of Barrel left after 1st turn= 1-$$\frac{1}{3}$$= $$\frac{2}{3}$$

Volume of Barrel emptied in 2nd turn= $$\frac{2}{3}$$*$$\frac{1}{3}$$= $$\frac{2}{9}$$

Volume of Barrel left after 2nd turn= $$\frac{2}{3}$$-$$\frac{2}{9}$$= $$\frac{6-2}{9}$$

= $$\frac{4}{9}$$

_________________
Kindly hit kudos if my post helps!
Senior Manager
Joined: 07 Dec 2017
Posts: 316
GMAT 1: 660 Q50 V30
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

12 Jan 2018, 06:24
4/9

Best way to this kind of questions is variable substitution

Let say x=90

Aftr frst round it will have 90-90/3=60 value remain

Aftr scnd round 60-60/3=40

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Intern
Joined: 16 Sep 2017
Posts: 21
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

12 Jan 2018, 06:35
Volume after first turn is 2/3. 1/3of remaining (2/3) is emptied in next turn so remaining 4/9

Sent from my Moto G (4) using GMAT Club Forum mobile app
Manager
Joined: 16 May 2016
Posts: 199
Location: India
Schools: ESSEC '21 (A\$)
GMAT 1: 720 Q50 V38
GPA: 3.5
WE: Analyst (Consulting)
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

13 Jan 2018, 20:03
mandeey
The problem with your solution is you left it halfway.
Consider barrel has capacity X.
After one turn capacity of barrel will be = x-1/3x= 2/3x
After one more turn the capacity will be= 2/3x-1/3(2/3x)=4/9x------------------You missed to read question correctly. It says 1/3rd of remaining.
_________________
Not Giving UP! Kudos if you like the question
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4772
Location: India
GPA: 3.5
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

14 Jan 2018, 00:36
Bunuel wrote:
If 1/3 of a barrel's contents is emptied with each turn of the wheel, what fraction of a full barrel remains after 2 turns of the wheel?

A. 1/9
B. 4/7
C. 4/9
D. 2/3
E. 8/9

Let the original capacity of the barrel be = 9

1st turn : Emptied = 3 units ; Left = 6 Units
2nd turn : Emptied = 2 unit ; Left = 4 Units

Thus, after 2 turns of the wheel 4/9 fraction of a full barrel remains in the barrel, answer will be (C)

_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Intern
Joined: 24 Oct 2014
Posts: 13
Location: Spain
Schools: LBS '21 (II)
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,  [#permalink]

### Show Tags

17 Jan 2018, 10:57
Full * whats left1 * whats left2 = whats left

-> 1 * (2/3) * (2*3) = 4/9
Re: If 1/3 of a barrel's contents is emptied with each turn of the wheel,   [#permalink] 17 Jan 2018, 10:57
Display posts from previous: Sort by