Jul 19 08:00 AM PDT  09:00 AM PDT The Competition Continues  Game of Timers is a teambased competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th Jul 20 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jul 21 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes
Author 
Message 
TAGS:

Hide Tags

Senior RC Moderator
Status: _________
Joined: 02 Nov 2016
Posts: 3054
Location: Pakistan
GPA: 3.39

On a certain twopart test, a student must choose one of 4 short essay
[#permalink]
Show Tags
10 Feb 2019, 03:01
Question Stats:
60% (02:19) correct 40% (02:20) wrong based on 73 sessions
HideShow timer Statistics
On a certain twopart 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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New Project RC Butler 2019  Practice 2 RC Passages EverydayFinal days of the GMAT Exam? => All GMAT Flashcards.This Post Helps = Press +1 KudosBest of Luck on the GMAT!!



Math Expert
Joined: 02 Aug 2009
Posts: 7764

Re: On a certain twopart test, a student must choose one of 4 short essay
[#permalink]
Show Tags
10 Feb 2019, 03:46
SajjadAhmad wrote: On a certain twopart 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 twopart test, a student must choose one of 4 short essay
[#permalink]
Show Tags
10 Feb 2019, 04:11
chetan2u wrote: SajjadAhmad wrote: On a certain twopart 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 chooseIf 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 twopart test, a student must choose one of 4 short essay
[#permalink]
Show Tags
10 Feb 2019, 04:23
prabsahi wrote: chetan2u wrote: SajjadAhmad wrote: On a certain twopart 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 chooseIf 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 twopart test, a student must choose one of 4 short essay
[#permalink]
Show Tags
10 Feb 2019, 04:33
SajjadAhmad wrote: On a certain twopart 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 twopart test, a student must choose one of 4 short essay
[#permalink]
Show Tags
10 Feb 2019, 05:33
prabsahi wrote: chetan2u wrote: SajjadAhmad wrote: On a certain twopart 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 chooseIf 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 twopart 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 twopart test, a student must choose one of 4 short essay
[#permalink]
20 Mar 2019, 09:20






