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

It is currently 20 Jan 2021, 12:39
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
A subway train made eleven stops on its route. If an average (arithmet
9 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags :
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 70437
CAT Tests Top Member of the Month
A subway train made eleven stops on its route. If an average (arithmet [#permalink] New post  22 May 2020, 06:44
6
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

73% (02:36) correct 27% (02:27) wrong based on 120 sessions

Hide Show 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
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
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
Most Helpful Expert Reply
User avatar
V
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 13188
Location: United States (CA)
Re: A subway train made eleven stops on its route. If an average (arithmet [#permalink] New post  28 May 2020, 15:40
5
Kudos
1
Bookmarks
Expert Reply
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
_________________

★ ★ ★ ★ ★   250 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (BETA)

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

Signature Read More
General Discussion
User avatar
V
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 18 Jan 2020
Posts: 2357
Location: India
Schools: HEC MiM "23, ESSEC MiM "23
GPA: 4
Premium Member CAT Tests
Re: A subway train made eleven stops on its route. If an average (arithmet [#permalink] New post  22 May 2020, 06:58
1
Kudos
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
User avatar
V
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator l A motivator and an Optimist :)
Posts: 4764
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] New post  22 May 2020, 08:29
Expert Reply
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
_________________
Great Results (Q≥50 and V≥40) l Honest and Effective Admission Support l 100% Satisfaction !!!

One-on-One GMAT Skype classes l On-demand Quant Courses and Pricing l Admissions Consulting

Call/mail: +91-9999687183 l bhoopendra.singh@gmatinsight.com (for FREE Demo class/consultation)

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 OG QUANT 50 Qn+VIDEO Sol.
Signature Read More
avatar
B
BradyMVP
Current Student
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
Re: A subway train made eleven stops on its route. If an average (arithmet [#permalink] 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
User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 70437
CAT Tests Top Member of the Month
Re: A subway train made eleven stops on its route. If an average (arithmet [#permalink] New post  22 May 2020, 10:07
Expert Reply
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
avatar
B
BradyMVP
Current Student
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
Re: A subway train made eleven stops on its route. If an average (arithmet [#permalink] 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
avatar
G
basshead
VP
VP
Joined: 09 Jan 2020
Posts: 1171
Premium Member
Re: A subway train made eleven stops on its route. If an average (arithmet [#permalink] New post  27 Nov 2020, 14:40
From the first 9 stops, we have an average number of 30 passengers per stop.

After the first stop, the number of passengers decreases by 5.

median = mean

Therefore on the 5th stop, there will be 30 passengers. We can add back the 20 passengers that got off the train to arrive at a total of 50 passengers on the first stop.

Answer is B.
_________________
Help me get better -- please critique my responses!
Signature Read More
User avatar
D
AnirudhaS
LBS Moderator
Joined: 30 Oct 2019
Posts: 685
Location: United Kingdom
Concentration: General Management, Technology
Schools: INSEAD Jan'21 Intake, Cambridge '22, LBS '23
GPA: 4
Re: A subway train made eleven stops on its route. If an average (arithmet [#permalink] New post  27 Nov 2020, 15:08
x+(x-5)+(x-10)+...(x-40)=270,
solving for x, x=50

Answer: B
GMAT Club Bot
gmatclubot
[#permalink]
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9305 posts
Bunuel
Math Expert
70436 posts
VeritasKarishma
Veritas Prep GMAT Instructor
11371 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2357 posts
generis
Senior SC Moderator
4450 posts
Feedback

cron

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