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

 It is currently 20 Jun 2019, 00:44 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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  Water is poured from a full 5-liter jug into two identical

Author Message
TAGS:

Hide Tags

CEO  V
Joined: 12 Sep 2015
Posts: 3785
Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

4
Top Contributor
12 00:00

Difficulty:   55% (hard)

Question Stats: 69% (02:12) correct 31% (02:19) wrong based on 327 sessions

HideShow timer Statistics

Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?

A) 5/6
B) 8/9
C) 9/8
D) 6/5
E) 5/3

*Kudos for all correct solutions

_________________
CEO  V
Joined: 12 Sep 2015
Posts: 3785
Re: Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

3
Top Contributor
4
GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?

A) 5/6
B) 8/9
C) 9/8
D) 6/5
E) 5/3

Let x = the capacity of each glass (in liters)
So, if the glass is 3/4 full, then (3/4)x = the amount of water in one glass
So, (2)(3/4)x = the amount of water in TWO glasses

IMPORTANT: the volume of water IN the TWO glasses is equal to the volume of water that was poured OUT of the 5-liter jug.
Since the 5-liter jug ends up being 3/4 full, we can conclude that 1/4 of the water was poured OUT of the 5-liter jug.
So, (1/4)(5) = the volume of water that was poured OUT of the 5-liter jug.

Now we'll set up a "word equation"
Volume of water IN the TWO glasses = volume of water poured OUT of the 5-liter jug
We get: (2)(3/4)x = (1/4)(5)
Simplify: 6x/4 = 5/4
Multiply both sides by 4 to get: 6x = 5
Solve: x = 5/6

RELATED VIDEO FROM OUR COURSE

_________________
General Discussion
Retired Moderator D
Joined: 13 Apr 2015
Posts: 1679
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1 GPA: 4
WE: Analyst (Retail)
Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

1
First jug --> Full quantity = 5

Let x be the quantity of each identical glass.

5 - (3/4)*(2x) = (3/4)*5
20 - 6x = 15
x = 5/6

VP  P
Joined: 07 Dec 2014
Posts: 1196
Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

2
GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?

A) 5/6
B) 8/9
C) 9/8
D) 6/5
E) 5/3

*Kudos for all correct solutions

1/4*5=5/4 liter
(5/4)/2=5/8 liter
let g=glass capacity
5/8 liter=3/4*g
g=5/6 liter
CEO  V
Joined: 12 Sep 2015
Posts: 3785
Re: Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

Top Contributor
1
GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?

A) 5/6
B) 8/9
C) 9/8
D) 6/5
E) 5/3

Another approach:

Since the 5-liter jug ends up being 3/4 full, we can conclude that 1/4 of the water was poured OUT of the 5-liter jug.
1/4 of 5 liters = (1/4)(5) = 5/4 liters

Equal amounts of those 5/4 liters were poured into EACH of the two glasses.
So, (1/2)5/4 liters = volume of water poured into ONE glass
Simplify to get: 5/8 liters = volume of water poured into ONE glass

That volume of 5/8 liters represents 3/4 of the capacity of the glass.
So, if we let c = the capacity of the glass, then 3/4 of c = 5/8 liters
In other words, (3/4)c = 5/8
To solve, multiply both sides by 4/3 to get: c = (4/3)5/8)
= 20/24
= 5/6

_________________
e-GMAT Representative D
Joined: 04 Jan 2015
Posts: 2892
Re: Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

3
GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?

A) 5/6
B) 8/9
C) 9/8
D) 6/5
E) 5/3

*Kudos for all correct solutions

• Since all three containers are $$\frac{3}{4}$$th full at the end.

• We can infer that from the jug, we poured $$(1-\frac{3}{4})*5$$ litre in the identical glasses.

• Therefore in each glass, water poured would be $$\frac{1}{2}$$ of $$(1 - \frac{3}{4})*5$$

• If the capacity of the glass is $$G$$, then -
• $$\frac{3}{4} * G =\frac{1}{2} * (1-\frac{3}{4})*5$$

• $$G = \frac{4}{3} *\frac{1}{2} * \frac{1}{4} *5 = \frac{5}{6} litres$$

Hence the correct answer is Option A

Thanks,
Saquib
Quant Expert
e-GMAT

Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts  _________________
Intern  B
Joined: 03 Jan 2017
Posts: 30
Re: Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

2
(1/4)*5 = (3/4)*2x
X = 5/6.
Option D.....

Sent from my MotoG3 using GMAT Club Forum mobile app
Intern  B
Joined: 03 Aug 2017
Posts: 30
Re: Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

1
GMATPrepNow wrote:
Water is poured from a full 5-liter jug into two identical glasses until all three containers are each 3/4 full. What is the capacity, in liters, of one glass?

A) 5/6
B) 8/9
C) 9/8
D) 6/5
E) 5/3

*Kudos for all correct solutions

This is how i solved

after the glasses were pored the jar was left 3/4 full = 3/4* 5 = 3.75 Ltrs
Which means 1.25 ltrs was poured in total to both the glasses combined
perglass = 1.25 /2 = .625 ltrs =

.625 ltrs 3/4full so
full would be by unitry method
625/1000 = 3/4X ( Here X is the full capacity of the glass )
cross multiply and get 125/150 = 5/6 = ANS A
Manager  B
Joined: 18 Jul 2015
Posts: 50
GMAT 1: 530 Q43 V20 WE: Analyst (Consumer Products)
Re: Water is poured from a full 5-liter jug into two identical  [#permalink]

Show Tags

Since the 5 liter jug ends up remaining filled to 3/4th of its capacity after the water is removed from it, we can say the following:

3/4x + 3/4x = 1/4*5 (assuming x to be the total volume of each of the two glasses into which water is filled)
3/4 (2x) = 5/4
x = 5/6 (Option A)
_________________
Press +1 if my explanation helps. Thanks! Re: Water is poured from a full 5-liter jug into two identical   [#permalink] 28 Jan 2019, 00:55
Display posts from previous: Sort by

Water is poured from a full 5-liter jug into two identical  