It is currently 14 Dec 2017, 16:51

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

Mark bought a set of 6 flower pots of different sizes at a

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

Hide Tags

2 KUDOS received
Intern
Intern
avatar
Joined: 25 Aug 2008
Posts: 30

Kudos [?]: 21 [2], given: 0

Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 14 Oct 2008, 16:21
2
This post received
KUDOS
17
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (01:46) correct 29% (01:57) wrong based on 523 sessions

HideShow timer Statistics

Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?

A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30
[Reveal] Spoiler: OA

Last edited by Bunuel on 30 Oct 2012, 01:17, edited 2 times in total.
Renamed the topic and edited the question. Moved to PS forum.

Kudos [?]: 21 [2], given: 0

6 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 21 Apr 2008
Posts: 269

Kudos [?]: 168 [6], given: 0

Location: Motortown
Re: Applied Problem??? [#permalink]

Show Tags

New post 14 Oct 2008, 16:29
6
This post received
KUDOS
3
This post was
BOOKMARKED
C

6x+.25+.5+.75+1.0+1.25 = 8.25
6x = 4.5
x = .75

Largest is x +1.25 = 2.00

Kudos [?]: 168 [6], given: 0

1 KUDOS received
Retired Moderator
User avatar
B
Joined: 05 Jul 2006
Posts: 1748

Kudos [?]: 447 [1], given: 49

GMAT ToolKit User Premium Member
Re: Applied Problem??? [#permalink]

Show Tags

New post 15 Oct 2008, 01:51
1
This post received
KUDOS
[quote="Poots"]Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?

A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30

x+(x+0.25)+(x+2*0.25)........

6x+0.25*15 = 8.25

x = 0.75, largest pot = 0.75+0.25*5 = 2.00....c

Kudos [?]: 447 [1], given: 49

Intern
Intern
avatar
Joined: 28 Jan 2012
Posts: 2

Kudos [?]: 6 [0], given: 3

Location: Viet Nam
Concentration: Entrepreneurship, Nonprofit
GMAT 1: 650 Q47 V33
GPA: 3.7
WE: Investment Banking (Non-Profit and Government)
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 30 Oct 2012, 01:03
1
This post was
BOOKMARKED
x denotes for the price of the largest pot

x + (x - 0.25) + (x-2*0.25) + ...... (x -5*0.25) = 8.25
6x - 0.25*(1 +2.+3+4+5) = 8.25
6x -3.75 = 8.25
6x = 12
x = 2

=> C is corect answer

Kudos [?]: 6 [0], given: 3

Expert Post
2 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42607

Kudos [?]: 135661 [2], given: 12705

Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 30 Oct 2012, 01:27
2
This post received
KUDOS
Expert's post
11
This post was
BOOKMARKED
Poots wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?

A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30


Notice that the prices are are evenly spaced, with common difference of 0.25. Now, for every evenly spaced set (average)=(first+last)/2=(sum)/(number of terms).

Now, if we say that the price of the largest pot is $x, then the price of the smallest pot is $(x-5*0.25) and we'll have that \(\frac{x+x-1.25}{2}=\frac{8.25}{6}\) --> \(2x-1.25=\frac{8.25}{3}\) --> \(x=2\).

Answer: C.
_________________

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

Kudos [?]: 135661 [2], given: 12705

2 KUDOS received
Manager
Manager
avatar
Joined: 01 Jan 2013
Posts: 62

Kudos [?]: 34 [2], given: 131

Location: India
GMAT ToolKit User
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 25 Oct 2013, 22:09
2
This post received
KUDOS
Poots wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?

A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30


Sum = Avg x n
8.25 = (x1 + x6)/2 X 6
x1 + x6 = 2.75------1

x6 = x1 + 5X0.25------2

solving 1 & 2
x6 = 2.00

Kudos [?]: 34 [2], given: 131

1 KUDOS received
Intern
Intern
avatar
Joined: 07 Jul 2012
Posts: 3

Kudos [?]: 1 [1], given: 13

Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 06 Jan 2014, 04:42
1
This post received
KUDOS
Hi Brunel,
If i say price of smallest pot be x ,then price of largest pot will be x+ 5(0.25)=x+1.25
Now,if i put this in (average)=(first+last)/2=(sum)/(number of terms).

I will get the other equation:
x+1.25+x
----------- = 8.25
2 ------
6
and this will give a different answer.
Can you please explain if i am doing anything wrong here?[quote][/quote]

Kudos [?]: 1 [1], given: 13

1 KUDOS received
Current Student
User avatar
B
Joined: 03 Feb 2013
Posts: 944

Kudos [?]: 1089 [1], given: 548

Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE: Engineering (Computer Software)
Reviews Badge
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 06 Jan 2014, 08:07
1
This post received
KUDOS
Poots wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?

A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30


Instead of using the equation, lets use some common sense.
8.25/6 = 1.4XX (approx)
Now as there are 6 items , 1.4XX should be between 3rd pot cost and 4th pot cost.
Take the simplest option to verify, option c)
if 6th pot is 2.00, 5th should 1.75, 4th should be 1.5 and 3rd should be 1.25. 1.5 + 1.25 comes to 1.42 close to previously calculated.
Just to be sure, lets take 2.15, then 4th pot should be 1.65 and 3rd pot should be 1.4, average of 3rd and 4th > 1.4. Option C)

if GMAT gives options why not use it. :-D
_________________

Thanks,
Kinjal
My Debrief : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267.html#p1449379
My Application Experience : http://gmatclub.com/forum/hardwork-never-gets-unrewarded-for-ever-189267-40.html#p1516961
Linkedin : https://www.linkedin.com/in/kinjal-das/

Please click on Kudos, if you think the post is helpful

Kudos [?]: 1089 [1], given: 548

3 KUDOS received
Intern
Intern
avatar
Joined: 21 Feb 2015
Posts: 27

Kudos [?]: 10 [3], given: 23

Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 21 Mar 2015, 06:36
3
This post received
KUDOS
The most easiest way to approach this problem is
let x be the largest pot then

x+(x-$.25)[5th pot]+(x-$.50)[4th pot]+(x-$.75)[3rd pot]+(x-$1)[2nd pot]+(x+-1.25)[1st pot] = $8.25
6x - $3.75 = $8.25
6x= $8.25+$3.75
6x = $12
x=$2 Boom!

Kudos [?]: 10 [3], given: 23

Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10401

Kudos [?]: 3691 [1], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 21 Mar 2015, 10:57
1
This post received
KUDOS
Expert's post
Hi All,

This question can be solved with a handful of different Algebra approaches (as has been shown in the various posts). Since the question asks for the price of the largest pot, and the answers are prices, we can TEST THE ANSWERS.

We're told that there are 6 pots and that each pot costs 25 cents MORE than the next. The total price of the pots is $8.25. We're asked for the price of the largest (most expensive) pot.

Since the total price is $8.25 (a 25-cent increment) and the the difference in sequential prices of the pots is 25 cents, the largest pot PROBABLY has a price that is a 25-cent increment. From the answer choices, I would then TEST Answer C first (since answers B and D are NOT in 25-cent increments).

IF....
The largest pot = $2.00
The other 5 pots are....
1.75
1.50
1.25
1.00
0.75
Total = $8.25
So this MUST be the answer.

Final Answer:
[Reveal] Spoiler:
C


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3691 [1], given: 173

Intern
Intern
avatar
Joined: 30 Apr 2015
Posts: 7

Kudos [?]: [0], given: 19

Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 10 Nov 2016, 10:12
Poots wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?

A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30



Well do have a formulae for the Sum of the numbers in A.P
Sn= n[2a + (n-1)d] / 2
where Sn=sum of the numbers in AP
a = fist term (over here assume to be "x")
n= numbers of terms (over here it is 6)
d= common difference (over here it is 0.25)

Equating "x" we'll get as x=first term = 0.75
so highest term or the last term = 2.0 :)

Kudos [?]: [0], given: 19

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14842

Kudos [?]: 287 [0], given: 0

Premium Member
Re: Mark bought a set of 6 flower pots of different sizes at a [#permalink]

Show Tags

New post 12 Nov 2017, 04:22
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

Kudos [?]: 287 [0], given: 0

Re: Mark bought a set of 6 flower pots of different sizes at a   [#permalink] 12 Nov 2017, 04:22
Display posts from previous: Sort by

Mark bought a set of 6 flower pots of different sizes at a

  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®.