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06 Apr 2016, 07:01
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D
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Difficulty:
25%
(medium)
Question Stats:
78% (01:52) correct
22%
(02:03)
wrong
based on 139
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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 \(\frac{r}{(r + c + p)}>\frac{c}{(r + c + p)}\)
(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 \(\frac{r}{(r + c + p)}>\frac{c}{(r + c + p)}\)
06 Apr 2016, 13:17
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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?
probability of randomly selecting an oatmeal raisin cookie greater than the probability of selecting a chocolate chip cookie
rC1/(r+c)C1 > cC1/(r+c)C1
r/(r-1)>c/(c-1)
c>r So if we can find this condition then its sufficient.
(1) (r2−rc)/(r2−c2)>c(r+c)/(r+c)^2
r(r-c)/(r-c)(r+c) >c(r+c)/(r+c)^2
(r+c)(r-c)>0
As (r+c)>0 so (r-c)>0 => r>c Sufficient
(2) If p peanut butter cookies were added to the jar then r/(r+c+p)>c/(r+c+p) =>(r+c+p)(r-c)>0
As (r+c+p)>0 so (r-c)>0
r>c Sufficient
Hence D
probability of randomly selecting an oatmeal raisin cookie greater than the probability of selecting a chocolate chip cookie
rC1/(r+c)C1 > cC1/(r+c)C1
r/(r-1)>c/(c-1)
c>r So if we can find this condition then its sufficient.
(1) (r2−rc)/(r2−c2)>c(r+c)/(r+c)^2
r(r-c)/(r-c)(r+c) >c(r+c)/(r+c)^2
(r+c)(r-c)>0
As (r+c)>0 so (r-c)>0 => r>c Sufficient
(2) If p peanut butter cookies were added to the jar then r/(r+c+p)>c/(r+c+p) =>(r+c+p)(r-c)>0
As (r+c+p)>0 so (r-c)>0
r>c Sufficient
Hence D
mohsint25
Joined: 08 Dec 2014
Last visit: 12 Mar 2025
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Location: United States
Schools: Kelley '20 (A)
GMAT 1: 680 Q49 V34
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GPA: 3.1
06 Apr 2016, 16:41
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Bunuel
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 \(\frac{r}{(r + c + p)}>\frac{c}{(r + c + p)}\)
(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 \(\frac{r}{(r + c + p)}>\frac{c}{(r + c + p)}\)
both the statements tells us r>c .
hence ans is D
