Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 23:58

### 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

# On a certain two-part test, a student must choose one of 4 short essay

Author Message
TAGS:

### Hide Tags

Senior RC Moderator
Status: ----__----___-----____-----
Joined: 02 Nov 2016
Posts: 3054
Location: Pakistan
GPA: 3.39
On a certain two-part test, a student must choose one of 4 short essay  [#permalink]

### Show Tags

10 Feb 2019, 03:01
3
00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:19) correct 40% (02:20) wrong based on 73 sessions

### HideShow timer Statistics

On a certain two-part test, a student must choose one of 4 short essays and one of 2 long essays in Part One, and then choose one of x short essays and one of y long essays in Part Two. If there is a total of 144 different lineups of essays that the student could choose, and the ratio of available long essays to short essays remains constant in both parts of the test, then what is the value of x ?

A. 3
B. 6
C. 8
D. 9
E. 12

_________________
New Project RC Butler 2019 - Practice 2 RC Passages Everyday
Final days of the GMAT Exam? => All GMAT Flashcards.
This Post Helps = Press +1 Kudos
Best of Luck on the GMAT!!
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: On a certain two-part test, a student must choose one of 4 short essay  [#permalink]

### Show Tags

10 Feb 2019, 03:46
1
On a certain two-part test, a student must choose one of 4 short essays and one of 2 long essays in Part One, and then choose one of x short essays and one of y long essays in Part Two. If there is a total of 144 different lineups of essays that the student could choose, and the ratio of available long essays to short essays remains constant in both parts of the test, then what is the value of x ?

A. 3
B. 6
C. 8
D. 9
E. 12

If there is a total of 144 different lineups of essays that the student could choose = 4*2*x*y=144....xy=18

the ratio of available long essays to short essays remains constant in both parts of the test, so x:y=4:2 => 2x=4y...x=2y
xy=(2y)y=18 => $$2y^2=18....y^2=9...y=3$$

Thus x= 18/3=6

B
_________________
Senior Manager
Joined: 09 Jun 2014
Posts: 331
Location: India
Concentration: General Management, Operations
Re: On a certain two-part test, a student must choose one of 4 short essay  [#permalink]

### Show Tags

10 Feb 2019, 04:11
chetan2u wrote:
On a certain two-part test, a student must choose one of 4 short essays and one of 2 long essays in Part One, and then choose one of x short essays and one of y long essays in Part Two. If there is a total of 144 different lineups of essays that the student could choose, and the ratio of available long essays to short essays remains constant in both parts of the test, then what is the value of x ?

A. 3
B. 6
C. 8
D. 9
E. 12

If there is a total of 144 different lineups of essays that the student could choose = 4*2*x*y=144....xy=18

the ratio of available long essays to short essays remains constant in both parts of the test, so x:y=4:2 => 2x=4y...x=2y
xy=(2y)y=18 => $$2y^2=18....y^2=9...y=3$$

Thus x= 18/3=6

B

Hello Chetan sir,

144 lineups = doestnt that mean its the sum of total number of different essays from Part A and B(short n small?

I undertstand from your solution it implies all the different selections from both the parts.

After reading carefully the problem I see,it makes sense:

If there is a total of 144 different lineups of essays that the student could choose

If the question would have omitted the RED part ,how will the solution change.

Will that mean 4+2+x+y= 144??
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: On a certain two-part test, a student must choose one of 4 short essay  [#permalink]

### Show Tags

10 Feb 2019, 04:23
prabsahi wrote:
chetan2u wrote:
On a certain two-part test, a student must choose one of 4 short essays and one of 2 long essays in Part One, and then choose one of x short essays and one of y long essays in Part Two. If there is a total of 144 different lineups of essays that the student could choose, and the ratio of available long essays to short essays remains constant in both parts of the test, then what is the value of x ?

A. 3
B. 6
C. 8
D. 9
E. 12

If there is a total of 144 different lineups of essays that the student could choose = 4*2*x*y=144....xy=18

the ratio of available long essays to short essays remains constant in both parts of the test, so x:y=4:2 => 2x=4y...x=2y
xy=(2y)y=18 => $$2y^2=18....y^2=9...y=3$$

Thus x= 18/3=6

B

Hello Chetan sir,

144 lineups = doestnt that mean its the sum of total number of different essays from Part A and B(short n small?

I undertstand from your solution it implies all the different selections from both the parts.

After reading carefully the problem I see,it makes sense:

If there is a total of 144 different lineups of essays that the student could choose

If the question would have omitted the RED part ,how will the solution change.

Will that mean 4+2+x+y= 144??

Hi,

I would take different lineups to mean different ways.. The catch here would be different..

If we meant the pool of essay contained 144 essays, then 'there is a total of 144 different lineups of essays' will not fit in. It should be that there are 144 essays lined up to choose from.
_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4242
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: On a certain two-part test, a student must choose one of 4 short essay  [#permalink]

### Show Tags

10 Feb 2019, 04:33
1
On a certain two-part test, a student must choose one of 4 short essays and one of 2 long essays in Part One, and then choose one of x short essays and one of y long essays in Part Two. If there is a total of 144 different lineups of essays that the student could choose, and the ratio of available long essays to short essays remains constant in both parts of the test, then what is the value of x ?

A. 3
B. 6
C. 8
D. 9
E. 12

different line ups of essay = 144= 4*2*x*y
x*y = 18

given
x=2y
so
2y^2=18
y=3
x= 6
IMO B
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Senior Manager
Joined: 09 Jun 2014
Posts: 331
Location: India
Concentration: General Management, Operations
Re: On a certain two-part test, a student must choose one of 4 short essay  [#permalink]

### Show Tags

10 Feb 2019, 05:33
prabsahi wrote:
chetan2u wrote:
On a certain two-part test, a student must choose one of 4 short essays and one of 2 long essays in Part One, and then choose one of x short essays and one of y long essays in Part Two. If there is a total of 144 different lineups of essays that the student could choose, and the ratio of available long essays to short essays remains constant in both parts of the test, then what is the value of x ?

A. 3
B. 6
C. 8
D. 9
E. 12

If there is a total of 144 different lineups of essays that the student could choose = 4*2*x*y=144....xy=18

the ratio of available long essays to short essays remains constant in both parts of the test, so x:y=4:2 => 2x=4y...x=2y
xy=(2y)y=18 => $$2y^2=18....y^2=9...y=3$$

Thus x= 18/3=6

B

Hello Chetan sir,

144 lineups = doestnt that mean its the sum of total number of different essays from Part A and B(short n small?

I undertstand from your solution it implies all the different selections from both the parts.

After reading carefully the problem I see,it makes sense:

If there is a total of 144 different lineups of essays that the student could choose

If the question would have omitted the RED part ,how will the solution change.

Will that mean 4+2+x+y= 144??

Hi,

I would take different lineups to mean different ways.. The catch here would be different..

If we meant the pool of essay contained 144 essays, then 'there is a total of 144 different lineups of essays' will not fit in. It should be that there are 144 essays lined up to choose from.[/quote]

I got it .Thanks a lot for clarifying.

Posted from my mobile device
Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 365
Re: On a certain two-part test, a student must choose one of 4 short essay  [#permalink]

### Show Tags

20 Mar 2019, 09:20
1) Set up each step:
Part 1 = 4C1 (short) * 2C1 (long) = 8 choices of essays
Part 2 = xC1 (short) * yC1 (long) = xy choice of essays

2) Set up equations:
8xy = 144
Now, we have the ratio S/L = 4/2 so S=2L. It says the ratio of Part 2 is the same so equivalent x=2y

3) Solve equation:
8x(1/2x) = 144
4x² = 144
2x = 12
x = 6
Re: On a certain two-part test, a student must choose one of 4 short essay   [#permalink] 20 Mar 2019, 09:20
Display posts from previous: Sort by