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10 Mar 2012, 04:37
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
83% (02:37) correct
17%
(02:47)
wrong
based on 138
sessions
History
Date
Time
Result
Not Attempted Yet
Among a class of 400 students, 80 percent studied at least 10 hours for the fi
nal exam, 25 percent received an A grade on the fi
nal exam, and 20 percent of those who studied at least 10 hours received an A on the fi
nal exam. If 1 student is to be randomly selected from the 400 students, what is the probability that the student selected will be one who studied at least 10 hours but did NOT receive an A on the
final exam?
(A) \(\frac{1}{20}\)
(B) \(\frac{9}{100}\)
(C) \(1/4\)
(D) \(3/5\)
(E) \(16/25\)
Any idea how to solve this?
(A) \(\frac{1}{20}\)
(B) \(\frac{9}{100}\)
(C) \(1/4\)
(D) \(3/5\)
(E) \(16/25\)
Any idea how to solve this?
10 Mar 2012, 06:06
Kudos
Bookmarks
enigma123
Look at the chart below, note that numbers in black are given and numbers in red are calculated based on those:
Attachment:
Students.PNG [ 5.5 KiB | Viewed 4315 times ]
Answer: E.
LalaB
Current Student
Joined: 23 Oct 2010
Last visit: 17 Jul 2016
Posts: 227
Own Kudos:
Given Kudos: 73
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
10 Mar 2012, 08:42
Kudos
Bookmarks
sorry, but dont know how to draw a venn diagram in this forum.
ok that diagram will be in this way
first u have to find out Both. it is stated in the q.stem, that 20% of 80% =both. it means that 16%=b0th (16%=20%*80%)
then only "studied at least 10 hours" = 80%-16%=64%
64/100=16*4/25*4=16/25
ok that diagram will be in this way
first u have to find out Both. it is stated in the q.stem, that 20% of 80% =both. it means that 16%=b0th (16%=20%*80%)
then only "studied at least 10 hours" = 80%-16%=64%
64/100=16*4/25*4=16/25
