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06 Oct 2009, 02:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (02:02) correct
27%
(02:40)
wrong
based on 321
sessions
History
Date
Time
Result
Not Attempted Yet
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?
A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16
A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16
06 Oct 2009, 11:47
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X - fraction of products Jane inspected
(1 - X) - fraction of products John inspected
0.8(X) + 0.5(1-X) = 0.75
0.3X = 0.75 - 0.5
X = 0.25/0.3
X = 5/6
Therefore the answer is D: 5/6.
(1 - X) - fraction of products John inspected
0.8(X) + 0.5(1-X) = 0.75
0.3X = 0.75 - 0.5
X = 0.25/0.3
X = 5/6
Therefore the answer is D: 5/6.
General Discussion
06 Oct 2009, 10:37
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IMO D 5/6
Basically you have the formula
0.8x+0.6y=0.75T
x=products jane rejected
y=products John rejected
T=total
i.e 8x+5y=7.5T
Now you just need to try different number to see which one will fit here.
Put x=1/6T y=5/6T (1-1/6T)
you get 8(1/6)+5(5/6) = 33/6 < 7.5 does not match with 7.5
try x=5/6T y=1/6T
8(5/6)+5(1/6)=45/6=7.5 matches so thats your answer.
You can plugin other numbers but it wont give you the exact 7.5
I have seen many GMAT problem including DS where you have to plugin numbers.
consider kudos if you like the answer.
Basically you have the formula
0.8x+0.6y=0.75T
x=products jane rejected
y=products John rejected
T=total
i.e 8x+5y=7.5T
Now you just need to try different number to see which one will fit here.
Put x=1/6T y=5/6T (1-1/6T)
you get 8(1/6)+5(5/6) = 33/6 < 7.5 does not match with 7.5
try x=5/6T y=1/6T
8(5/6)+5(1/6)=45/6=7.5 matches so thats your answer.
You can plugin other numbers but it wont give you the exact 7.5
I have seen many GMAT problem including DS where you have to plugin numbers.
consider kudos if you like the answer.
