BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

What is the maximum number of arrangements in which N stud

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 298
Joined: Sun Jun 03, 2012 6:42 amFollowed by: 7 members
Location: New delhi
Thanked: 10 times
GMAT Score:590
by varun289 » Fri Jan 25, 2013 8:35 pm
What is the maximum number of arrangements in which N students can be seated in a row of N seats at a movie theater, if all students from the same college are to sit next to each other?

All students come from three colleges, X, Y, and Z that sent 12, 10, and 9 students, respectively.
N is a prime number between 30 and 40.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked

Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient

EACH statement ALONE is sufficient to answer the question asked

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed

A while IMO-C
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
User avatar
Master | Next Rank: 500 Posts
Posts: 447
Joined: Sun Apr 22, 2012 7:13 amFollowed by: 13 members
Thanked: 46 times
GMAT Score:700

by hemant_rajput » Sat Jan 26, 2013 1:59 am
IMO E

from statement 1 we know student only from 3 colleges but there might be other college involved.

from statement 2 we know either N = 31 or N = 37.

now using both statement still we are not able to decide what is the value of N, because there might be more college having total of six student or there might be none.
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Sat Jan 26, 2013 9:37 am
varun289 wrote:What is the maximum number of arrangements in which N students can be seated in a row of N seats at a movie theater, if all students from the same college are to sit next to each other?

1) All students come from three colleges, X, Y, and Z that sent 12, 10, and 9 students, respectively.
2) N is a prime number between 30 and 40.
Hmmm, I'm not sure why the word "maximum" is needed above. That said, let's solve the question.

Target question: What is the number of arrangements in which N students can be seated in a row of N seats if all students from the same college are to sit next to each other?

Statement 1: All students come from three colleges, X, Y, and Z that sent 12, 10, and 9 students, respectively.

Okay, so we're seating a total of 31 students in 31 seats, with 12 students from college X, 10 students from college Y, and 9 students from college Z.
At this point, even if we know nothing about counting techniques, we could start listing arrangements until we've counted every possible outcome.
So, it appears that statement 1 is SUFFICIENT.

Aide: the total number of arrangements = (12!)(10!)(9!)(3!)

Statement 2: N is a prime number between 30 and 40.
This means that N=31 or N=37
Also, we don't know the number of students from each college.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 447
Joined: Sun Apr 22, 2012 7:13 amFollowed by: 13 members
Thanked: 46 times
GMAT Score:700

by hemant_rajput » Sat Jan 26, 2013 10:39 am
OOPS!, I misinterpreted the first statement. Thanks Brent for an explanation.
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1