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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # There are c chocolate chip cookies and r oatmeal raisin cookies in a j

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Retired Moderator V
Joined: 27 Oct 2017
Posts: 1321
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)

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1
1 00:00

Difficulty:   15% (low)

Question Stats: 84% (01:50) correct 16% (01:59) wrong based on 68 sessions

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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

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Intern  B
Joined: 05 Sep 2016
Posts: 24

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Both are sufficient.

statement 1 can be solved using distributive law

Statement 2 is sufficient
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[i]"Take up one idea. Make that one idea your life"
Intern  S
Joined: 02 Apr 2018
Posts: 48

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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
Manager  S
Joined: 16 Sep 2011
Posts: 107

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1
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
Intern  B
Joined: 08 Feb 2018
Posts: 20

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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.
Intern  B
Joined: 17 Dec 2016
Posts: 19
Location: Viet Nam

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Posted from my mobile device

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Manager  S
Joined: 21 Jul 2018
Posts: 185

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Hi gmatbusters,

I am not able to get how we can get answer from option 2, could you please assist me.
Senior Manager  D
Joined: 15 Feb 2018
Posts: 411

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Gmatprep550 substitute some values

r=1
c=2
p=3

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

$$\frac{r}{(r+c+p)}<\frac{c}{(r+c+p)}$$
$$\frac{1}{6}<\frac{2}{6}$$ Re: There are c chocolate chip cookies and r oatmeal raisin cookies in a j   [#permalink] 15 Aug 2019, 14:25
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