GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close

It is currently 07 Jul 2020, 12:07
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
CLICK HERE TO HIDE/SHOW EVENTS

A subway train made eleven stops on its route. If an average (arithmet

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
First unread post
Print view
 
  Sort by Date Sort by Kudos  
Search for:
 
PREVIOUS TOPIC
NEXT TOPIC
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 65062
CAT Tests
Top Member of the Month
A subway train made eleven stops on its route. If an average (arithmet  [#permalink]

Show Tags

New post 22 May 2020, 06:44
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

78% (02:22) correct 22% (01:54) wrong based on 49 sessions

HideShow timer Statistics

A subway train made eleven stops on its route. If an average (arithmetic mean) of 30 passengers boarded at each of the first nine stops and at each stop, beginning with the second, 5 fewer passengers boarded than at the previous stop, how many passengers boarded the train at its first stop?

A. 60
B. 50
C. 30
D. 20
E. 10


PS21199
Spoiler: OA

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
PS Forum Moderator
User avatar
G
Joined: 18 Jan 2020
Posts: 1078
Location: India
GPA: 4
CAT Tests
Re: A subway train made eleven stops on its route. If an average (arithmet  [#permalink]

Show Tags

New post 22 May 2020, 06:58
1
Let the no. Of passengers board the train on first station be {A}, Second be {A-5}, Third {A-10}, fourth {A-15}......... Ninth {A-40}

Average of passengers of first nine stations is 30
Total of passengers/ no. Of stations= average.
Total of passengers= 30*9
{A} + {A-5} + {A-10} + {A-15} + {A-20} +..... + {A-40} = 270
9A-180=270
( 180 = Sn = n/2{2a+(n-1)*d} )
S8 = 8/2{2*5+(8-1)*5} =
S8 = 180. Arithmetic Progression sum )
9A=450
A=50

So 50 passengers board the train.
Answer is B

Posted from my mobile device
GMAT Club Legend
GMAT Club Legend
User avatar
V
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 4330
Location: India
GMAT: QUANT EXPERT
Schools: IIM (A)
GMAT 1: 750 Q51 V41
WE: Education (Education)
Reviews Badge
A subway train made eleven stops on its route. If an average (arithmet  [#permalink]

Show Tags

New post 22 May 2020, 08:29
Bunuel wrote:
A subway train made eleven stops on its route. If an average (arithmetic mean) of 30 passengers boarded at each of the first nine stops and at each stop, beginning with the second, 5 fewer passengers boarded than at the previous stop, how many passengers boarded the train at its first stop?

A. 60
B. 50
C. 30
D. 20
E. 10


PS21199


Total passengers boarded at 9 stations = 9*30 = 270

If passengers at 9th station = x
then passengers at 8th station = x+5

i.e. x+(x+5)+(x+10)+(x+15)+(x+20)+(x+25)+(x+30)+(x+35)+(x+40) = 270

i.e. 9x + 180 = 270

i.e. x = 10

i.e. Passanger at 2nd station = x+40 = 10+40 = 50

Answer: Option B
_________________
Prepare with PERFECTION to claim Q≥50 and V≥40 !!!
GMATinsight .............(Bhoopendra Singh and Dr.Sushma Jha)
e-mail: info@GMATinsight.com l Call : +91-9999687183 / 9891333772
One-on-One Skype classes l Classroom Coaching l On-demand Quant course l Admissions Consulting

Most affordable l Comprehensive l 2000+ Qn ALL with Video explanations l LINK: Courses and Pricing
Click for FREE Demo on VERBAL & QUANT
Our SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l
FREE GMAT Resource: 22 FREE (FULL LENGTH) GMAT CATs LINKS l NEW OG QUANT 50 Qn+VIDEO Sol.
Signature Read More
Manager
Manager
avatar
B
Joined: 16 Jan 2020
Posts: 79
Location: United States
Schools: Duke '22 (M$)
GMAT 1: 720 Q49 V38
GPA: 3.9
WE: Investment Banking (Other)
Reviews Badge CAT Tests
Re: A subway train made eleven stops on its route. If an average (arithmet  [#permalink]

Show Tags

New post 22 May 2020, 09:59
Bunuel wrote:
A subway train made eleven stops on its route. If an average (arithmetic mean) of 30 passengers boarded at each of the first nine stops and at each stop, beginning with the second, 5 fewer passengers boarded than at the previous stop, how many passengers boarded the train at its first stop?

A. 60
B. 50
C. 30
D. 20
E. 10


PS21199



Bunuel, this was in the hard PS section. Do you really think this is a level 700 question? I have doubts
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 65062
CAT Tests
Top Member of the Month
Re: A subway train made eleven stops on its route. If an average (arithmet  [#permalink]

Show Tags

New post 22 May 2020, 10:07
BradyMVP wrote:
Bunuel wrote:
A subway train made eleven stops on its route. If an average (arithmetic mean) of 30 passengers boarded at each of the first nine stops and at each stop, beginning with the second, 5 fewer passengers boarded than at the previous stop, how many passengers boarded the train at its first stop?

A. 60
B. 50
C. 30
D. 20
E. 10


PS21199



Bunuel, this was in the hard PS section. Do you really think this is a level 700 question? I have doubts


Agree. I would not rate this one as 700 level. More like 600.
_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Manager
Manager
avatar
B
Joined: 16 Jan 2020
Posts: 79
Location: United States
Schools: Duke '22 (M$)
GMAT 1: 720 Q49 V38
GPA: 3.9
WE: Investment Banking (Other)
Reviews Badge CAT Tests
Re: A subway train made eleven stops on its route. If an average (arithmet  [#permalink]

Show Tags

New post 22 May 2020, 10:23
Bunuel wrote:
BradyMVP wrote:
Bunuel wrote:
A subway train made eleven stops on its route. If an average (arithmetic mean) of 30 passengers boarded at each of the first nine stops and at each stop, beginning with the second, 5 fewer passengers boarded than at the previous stop, how many passengers boarded the train at its first stop?

A. 60
B. 50
C. 30
D. 20
E. 10


PS21199



Bunuel, this was in the hard PS section. Do you really think this is a level 700 question? I have doubts


Agree. I would not rate this one as 700 level. More like 600.



I often find it amusing how, in these rollouts, they choose to label some objectively easy questions as hard and some objectively difficult questions as easy. The CR ratings are comical on the GMAT Prep. Gmatclub rankings a much better indication imo

Posted from my mobile device
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 11043
Location: United States (CA)
Re: A subway train made eleven stops on its route. If an average (arithmet  [#permalink]

Show Tags

New post 28 May 2020, 15:40
1
Bunuel wrote:
A subway train made eleven stops on its route. If an average (arithmetic mean) of 30 passengers boarded at each of the first nine stops and at each stop, beginning with the second, 5 fewer passengers boarded than at the previous stop, how many passengers boarded the train at its first stop?

A. 60
B. 50
C. 30
D. 20
E. 10



Since at each stop, beginning with the second, 5 fewer passengers boarded the train than at the previous stop, the number of passengers boarding the train at each of the first nine stops forms an evenly-spaced set. Therefore, the 5th stop must have the median, or the average, number of passengers, which is 30. So, the 4th stop has 35, the third has 40, the second has 45, and finally, the first stop has 50 passengers.

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
225 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Signature Read More
GMAT Club Bot
Re: A subway train made eleven stops on its route. If an average (arithmet   [#permalink] 28 May 2020, 15:40
Print view
First unread post

A subway train made eleven stops on its route. If an average (arithmet

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

Moderators: chetan2u, VeritasKarishma, Bunuel, yashikaaggarwal, generis

Search for:
PREVIOUS TOPIC
NEXT TOPIC





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions