GMAT Changed on April 16th - Read about the latest changes here

It is currently 24 Apr 2018, 00:06

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A certain roller coaster ride has between 29 and 150 people waiting in

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44652
A certain roller coaster ride has between 29 and 150 people waiting in [#permalink]

Show Tags

New post 06 Nov 2016, 09:15
Expert's post
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (02:05) correct 17% (01:53) wrong based on 92 sessions

HideShow timer Statistics

A certain roller coaster ride has between 29 and 150 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on. Which of the following is the sum of the greatest possible number of people in the line and the least possible number of people in the line?

A. 269
B. 184
C. 174
D. 169
E. 142
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Manager
Manager
avatar
Joined: 28 Jun 2016
Posts: 207
Location: Canada
Concentration: Operations, Entrepreneurship
Re: A certain roller coaster ride has between 29 and 150 people waiting in [#permalink]

Show Tags

New post 06 Nov 2016, 19:49
1
This post received
KUDOS
1
This post was
BOOKMARKED
Bunuel wrote:
A certain roller coaster ride has between 29 and 150 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on. Which of the following is the sum of the greatest possible number of people in the line and the least possible number of people in the line?

A. 269
B. 184
C. 174
D. 169
E. 142


Let x be the number of people

x=5m+2

x=6n

x=30p+12

Least = 30+12= 42

Highest = 30*4+12 = 132

Total = 174

C


Sent from my iPhone using GMAT Club Forum mobile app
1 KUDOS received
Manager
Manager
User avatar
B
Joined: 17 Nov 2014
Posts: 51
Location: India
Re: A certain roller coaster ride has between 29 and 150 people waiting in [#permalink]

Show Tags

New post 07 Nov 2016, 07:16
1
This post received
KUDOS
1
This post was
BOOKMARKED
Total number of riders = 5p + 2 or 6q.

The first number that fits in is 12. Numbers following will be 12 + multiple of 30 ( LCM of 5 and 6).

Therefore, the total number of riders will be 30k+12.

42, 72, 102, 132 are the only possibilities as the number of riders should be between 29 and 150.

Among the given options (42+132 =174) is the answer.
Intern
Intern
avatar
B
Joined: 03 Nov 2016
Posts: 23
Location: India
Schools: ISB '18, IIMA PGPX"18
GMAT 1: 700 Q48 V38
Re: A certain roller coaster ride has between 29 and 150 people waiting in [#permalink]

Show Tags

New post 07 Nov 2016, 07:47
We are looking for a number which is divisible by 6 and leaves 2 as reminder when divided by 5. For sure, this number is even (as divisible by 6). So odd options are ruled out. Also minimum and max number will not cross 200+ so even 269 (option 1 is ruled out)
Now only 2 options are left.
First number which statisfy the condition is 12. Next number will be 12 + (LCM of 5,6) ie 12+ 30 = 42. So min number is 42. other numbers are 12+60 ie 72, 12+90 ie 102, 12+120 ie 132. So max number is 132.
42+ 132 is 174 ie option C
Expert Post
3 KUDOS received
SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2067
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: A certain roller coaster ride has between 29 and 150 people waiting in [#permalink]

Show Tags

New post 07 Nov 2016, 07:49
3
This post received
KUDOS
Expert's post
Bunuel wrote:
A certain roller coaster ride has between 29 and 150 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on. Which of the following is the sum of the greatest possible number of people in the line and the least possible number of people in the line?

A. 269
B. 184
C. 174
D. 169
E. 142


Answer: in One line by Option Elimination

A certain roller coaster ride has between 29 and 150 people

If riders are let on only in groups of 5 there will be 2 riders that do not get on i.e. Number of the form 5a+2

If the riders are let on only in groups of 6 all riders will be able to get on i.e. a multiple of 6

Greatest + Least such number = a multiple of 6+a multiple of 6 = a multiple of 6
Option A, B, D, E ruled out

Answer: Option C
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 6645
Premium Member
Re: A certain roller coaster ride has between 29 and 150 people waiting in [#permalink]

Show Tags

New post 06 Dec 2017, 04:39
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: A certain roller coaster ride has between 29 and 150 people waiting in   [#permalink] 06 Dec 2017, 04:39
Display posts from previous: Sort by

A certain roller coaster ride has between 29 and 150 people waiting in

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.