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

 It is currently 22 Jul 2018, 09:44

### 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

# There are 4 bottles with the same number balls m respectively

Author Message
TAGS:

### Hide Tags

Senior Manager
Status: Always try to face your worst fear because nothing GOOD comes easy. You must be UNCOMFORTABLE to get to your COMFORT ZONE
Joined: 15 Aug 2014
Posts: 323
Concentration: Marketing, Technology
GMAT 1: 570 Q44 V25
GMAT 2: 600 Q48 V25
WE: Information Technology (Consulting)
There are 4 bottles with the same number balls m respectively  [#permalink]

### Show Tags

Updated on: 24 Apr 2016, 11:24
4
00:00

Difficulty:

35% (medium)

Question Stats:

77% (01:43) correct 23% (02:19) wrong based on 84 sessions

### HideShow timer Statistics

There are 4 bottles with the same number balls m respectively. If balls from only the 1-st bottle are moved to the other 3 bottles and finally the ratio of the numbers of balls in the bottles is 1 : 6 : 5 : 4, what fraction does the moved balls represent in terms of m?

A. m/4
B. m/2
C. 3m/4
D. m
E. 4m/5

_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

I need to work on timing badly!!

Originally posted by sairam595 on 24 Apr 2016, 05:58.
Last edited by Vyshak on 24 Apr 2016, 11:24, edited 1 time in total.
Edited the question for better understanding
Manager
Joined: 09 Oct 2015
Posts: 135
Re: There are 4 bottles with the same number balls m respectively  [#permalink]

### Show Tags

24 Apr 2016, 11:11
Hi could u pls explain this with an algebraic approach? Thank you
chetan2u

Posted from my mobile device
Math Expert
Joined: 02 Aug 2009
Posts: 6280
Re: There are 4 bottles with the same number balls m respectively  [#permalink]

### Show Tags

24 Apr 2016, 11:18
3
rahulkashyap wrote:
Hi could u pls explain this with an algebraic approach? Thank you
chetan2u

Posted from my mobile device

Hi,

Quote:
There are 4 bottles with the same number balls m respectively. If balls from the only 1-st bottle are moved to the other 3 bottles and finally the ratio of the numbers of balls of the bottles is 1 to 6 to 5 to 4, does the moved balls represent in terms of m?

A. m/4 B. m/2 C. 3m/4 D. m E. 4m/5

what you have to realize is the Total number after distr would be the same as earlier..

now it is 1:6:5:4..
let the common ratio be x, then total number = (1+6+5+4)*x...
but earlier all were distributed equally among all four =$$\frac{16x}{4}=4x.$$.
so m=4x OR $$x=\frac{m}{4}$$.
what was the balls moved 4x-x=3x.. 4x was initial and present is 1*x
so $$3x = 3*\frac{m}{4} = \frac{3m}{4}$$
C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

GMAT Club Legend
Joined: 16 Oct 2010
Posts: 8132
Location: Pune, India
Re: There are 4 bottles with the same number balls m respectively  [#permalink]

### Show Tags

09 Oct 2017, 03:22
2
2
sairam595 wrote:
There are 4 bottles with the same number balls m respectively. If balls from only the 1-st bottle are moved to the other 3 bottles and finally the ratio of the numbers of balls in the bottles is 1 : 6 : 5 : 4, what fraction does the moved balls represent in terms of m?

A. m/4
B. m/2
C. 3m/4
D. m
E. 4m/5

All 4 bottles had the same number of marbles. The ratio became 1:6:5:4. Let's see if we can shave off some balls from the last three bottles and put them in the first to make them all have equal number of balls.

Since the last bottle has 4 balls (the least of the last three), let's give the extra balls of 2nd and 3rd bottles to the 1st bottle.

1+3 : 6 - 2 : 5 - 1 : 4

4 : 4 : 4 : 4

This is exactly what we want. So we removed 3 out of the 4 balls from the first bottle. So 3/4 of the balls were removed.

_________________

Karishma
Private Tutor for GMAT
Contact: bansal.karishma@gmail.com

Re: There are 4 bottles with the same number balls m respectively &nbs [#permalink] 09 Oct 2017, 03:22
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.