Last visit was: 25 Apr 2024, 08:51 It is currently 25 Apr 2024, 08:51

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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
avatar
Director
Director
Joined: 29 Nov 2012
Posts: 580
Own Kudos [?]: 6042 [20]
Given Kudos: 543
Send PM
Most Helpful Reply
Math Expert
Joined: 02 Sep 2009
Posts: 92914
Own Kudos [?]: 618957 [8]
Given Kudos: 81595
Send PM
Manager
Manager
Joined: 23 Jun 2009
Posts: 128
Own Kudos [?]: 713 [6]
Given Kudos: 138
Location: Brazil
GMAT 1: 470 Q30 V20
GMAT 2: 620 Q42 V33
Send PM
General Discussion
User avatar
Manager
Manager
Joined: 21 Jul 2012
Posts: 60
Own Kudos [?]: 10 [0]
Given Kudos: 32
Send PM
Re: A supermarket sells a certain brand of jelly in two jars of different [#permalink]
Bunuel wrote:

A supermarket sells a certain brand of jelly in two jars of different sizes, as shown above. Jar A is a right circular cylinder with inside diameter D and inside Height h; Jar B is a right circular cylinder with inside diameter T and inside height 2h. Assuming each jar is filled to capacity, which jar of jelly will cost less per unit volume?

(1) The relationship between the diameters of Jar A and Jar B is 3T = 2D.
(2) Jar A costs $1.59 and Jar B costs 1.39

The volume of a cylinder is given by: \(volume_{cylinder}=\pi*{r^2}*h\).

From (1) we have that t/2=d/3, thus \(volume_A=\pi*{(\frac{d}{2})^2}*h\) and \(volume_B=\pi*{(\frac{t}{2})^2}*2h=\pi*{(\frac{d}{3})^2}*2h\).

From (2) we have that 1 unit volume of A costs \(\frac{1.59}{\pi*{(\frac{d}{2})^2}*h}=\frac{4*1.59}{\pi{d^2}h}\) and 1 unit volume of B costs \(\frac{1.39}{\pi*{(\frac{d}{3})^2}*2h}=\frac{4.5*1.39}{\pi{d^2}h}\). Now, all we need to do is to see which one is less 4*1.59 or 4.5*1.39.

Hope it's clear.


Bunuel - Actually my confusion arises with the answer explanation on prep, it says 1.39 / (pi*(2/9D)^2*h) = 6.255 / (pi*D^2*h). I know this is simple algebra but can you walk me through how I could easily convert this in 2 min if I were not able to see that t/2=d/3 and I kept it in the form T=2/3D. Thanks so much for your help with these problems.
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21846
Own Kudos [?]: 11665 [6]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: A supermarket sells a certain brand of jelly in two jars of different [#permalink]
4
Kudos
2
Bookmarks
Expert Reply
Hi jmuduke08,

Since this conversation is over a 1.5 years old, I'm not sure if your'e still interested in an explanation, but here goes.

On the GMAT, DS questions sometimes involve "crazy-looking" numbers as a way to test if you can "get around" the crazy numbers and get to the correct answer without doing lots of extensive calculations. In that same way, Problem Solving questions will rarely force you into doing lots of "crazy math" because the GMAT Quant section isn't really a "math test" (by traditional standards). If you CHOOSE to do lots of crazy calculations, then that's on you - most PS questions can be approached in a variety of ways though, so "your way" of doing things might be the "long way."

If the type of prompt that occurs here were to occur in a PS prompt, then you'd likely see the word "approximately" in the wording (so that you wouldn't be forced into doing long-winded and excessive calculations) and you'd have 5 answers to choose from. If the 5 answers were sufficiently "spaced out", then you wouldn't have to do much to solve the problem beyond the basic formulaic set-up, simplification and some estimation/pattern-matching.

Even here, once you combine the two Facts, the two equations have the exact same variables AND are each set equal to a value, so performing the last set of calculations is unnecessary - you KNOW you could figure out which costs less per unit volume, so that is enough to choose the correct answer.

GMAT assassins aren't born, they're made,
Rich
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 32674
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: A supermarket sells a certain brand of jelly in two jars of different [#permalink]
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 Club Bot
Re: A supermarket sells a certain brand of jelly in two jars of different [#permalink]
Moderator:
Math Expert
92914 posts

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