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02 Jul 2006, 17:58
Kudos
Bookmarks
This is an old Venn Diagram question and I've read through some previous posts about how to solve it but some problems prop up.
Original Question:
In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared in the examination, how many passed in either subject but not in both?
a) 325
b) 1075
c) 1175
d) 2125
e) 2250
When viewing the previous post replies:
https://www.gmatclub.com/phpbb/viewtopic.php?t=14890
I wonder: the question asks for those that "pass either subject" not those that "fail either subject." So then doesn't 47% represent those that have failed either but not both?
Original Question:
In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared in the examination, how many passed in either subject but not in both?
a) 325
b) 1075
c) 1175
d) 2125
e) 2250
When viewing the previous post replies:
https://www.gmatclub.com/phpbb/viewtopic.php?t=14890
I wonder: the question asks for those that "pass either subject" not those that "fail either subject." So then doesn't 47% represent those that have failed either but not both?
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02 Jul 2006, 21:32
Kudos
Bookmarks
Failed in A = 35
Failed in B = 42
Failed in both = 15
Failed in only A but not in other = 35-15 = 20 (i.e Passed in B but failed in A)
Failed in only B but not in other = 42-15 = 27 (i.e Passed in A but failed in B)
Total that failed in either but not in both (i.e Passed in one but failed in other) = 20 + 27 = 47
So total number = (47/100) *2500 = 1175
Failed in B = 42
Failed in both = 15
Failed in only A but not in other = 35-15 = 20 (i.e Passed in B but failed in A)
Failed in only B but not in other = 42-15 = 27 (i.e Passed in A but failed in B)
Total that failed in either but not in both (i.e Passed in one but failed in other) = 20 + 27 = 47
So total number = (47/100) *2500 = 1175
