NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 06:17 It is currently 26 Apr 2024, 06:17
Decision Tracker
My Rewards
New posts
New comers' posts

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

There are c chocolate chip cookies and r oatmeal raisin cookies in a j

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
GMATBusters
GMAT Tutor
Joined: 27 Oct 2017
Posts: 1905
Own Kudos [?]: 5582 [2]
Given Kudos: 236
WE:General Management (Education)
Send PM
GMAT ToolKit User
There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   20 Oct 2018, 10:14
1
Kudos
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

77% (01:48) correct 23% (01:46) wrong based on 119 sessions
Hide Show timer Statistics
There are c chocolate chip cookies and r oatmeal raisin cookies in a jar. If there are no other cookies in the jar, is the probability of randomly selecting an oatmeal raisin cookie greater than the probability of selecting a chocolate chip cookie?
1)\(\frac{(r^2-rc)}{(r^2-c^2)}\) > \(\frac{c(r+c)}{(r+c)^2}\)
2) If p peanut butter cookies were added to the jar then \(\frac{r}{(r+c+p)} > \frac{c}{(r+c+p)}\)


GMATbuster's Weekly GMAT Quant Quiz #5 Ques No 4

ShowHide Answer
Official Answer
D
avatar
B
saban
Intern
Intern
Joined: 05 Sep 2016
Posts: 22
Own Kudos [?]: 6 [0]
Given Kudos: 128
Location: Canada
Schools: Haas EMBA '21 (A)
Send PM
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   20 Oct 2018, 10:20
Both are sufficient.

statement 1 can be solved using distributive law

Statement 2 is sufficient
avatar
S
lostboy
Intern
Intern
Joined: 02 Apr 2018
Posts: 48
Own Kudos [?]: 34 [1]
Given Kudos: 14
Send PM
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   20 Oct 2018, 10:22
1
Bookmarks
D:

Statement 1:
the question stem asks if r / (r+c) > c / (r+c)
Statement 1 states the same thing except LHS is multiplied by (r-c)/(r-c) and RHS is multiplied by (r+c)/(r+c)

Statement 2:
adding in a constant does not change the proportion therefore also sufficient

Therefore D
User avatar
S
pk123
Manager
Manager
Joined: 16 Sep 2011
Posts: 112
Own Kudos [?]: 92 [1]
Given Kudos: 158
Send PM
GMAT ToolKit User Reviews Badge
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   20 Oct 2018, 10:23
1
Kudos
D is sufficient

Option A, r(r-c)/(r-c)(r+c) >. c(r+c)/(r+c)^2
if (r-c) is not equal to 0 and (r+c) is not equal to 0,

r/(r+c) > c/(r+c)
which is 1/(r+c) (r-c)>0.... which gives r>c

sufficient

Option B, r/(r+c+p)> c/(r+c+p)
if r+c+p is not equal to 0,

1/(r+p+c) (r-c)>0,
which means r>c,
sufficient
Hence D is the answer
avatar
B
raghavshekhar
Intern
Intern
Joined: 08 Feb 2018
Posts: 20
Own Kudos [?]: 2 [0]
Given Kudos: 11
Send PM
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   20 Oct 2018, 10:23
D.

Since we can assume r and c would be positive, solving statement 1 gives r>c. The second statement introduces a constant to both sides and it can be concluded that r>c.
avatar
B
yenbh
Intern
Intern
Joined: 17 Dec 2016
Posts: 17
Own Kudos [?]: 8 [0]
Given Kudos: 28
Location: Viet Nam
Schools: Northeastern '21 (A)
Send PM
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   20 Oct 2018, 10:30
Posted from my mobile device

Answer choice: D. Details please see in the file attached
Attachments

image.jpg
image.jpg [ 1.42 MiB | Viewed 2459 times ]

User avatar
S
Gmatprep550
Manager
Manager
Joined: 21 Jul 2018
Posts: 149
Own Kudos [?]: 65 [0]
Given Kudos: 186
Send PM
Reviews Badge
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   18 Dec 2018, 15:47
Hi gmatbusters,

I am not able to get how we can get answer from option 2, could you please assist me.
User avatar
D
philipssonicare
Senior Manager
Senior Manager
Joined: 15 Feb 2018
Posts: 424
Own Kudos [?]: 385 [0]
Given Kudos: 2380
Send PM
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   15 Aug 2019, 14:25
Gmatprep550 substitute some values

r=1
c=2
p=3

\(\frac{r}{(r+c)}<\frac{c}{(r+c)}\)
\(\frac{1}{3}<\frac{2}{3}\)

\(\frac{r}{(r+c+p)}<\frac{c}{(r+c+p)}\)
\(\frac{1}{6}<\frac{2}{6}\)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32684
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink] New post   15 Dec 2023, 06:21
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
gmatclubot
Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j [#permalink]
15 Dec 2023, 06:21
Moderator:
Bunuel
Math Expert
92933 posts

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