In an examination, 35% candidates failed in one subject and : GMAT Problem Solving (PS)
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# In an examination, 35% candidates failed in one subject and

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Senior Manager
Joined: 19 Nov 2004
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In an examination, 35% candidates failed in one subject and [#permalink]

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17 Mar 2005, 04:19
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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
Manager
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17 Mar 2005, 06:53
c
if 35 failed in A and 42 in B and 15 in both
those failing in A or B but not in A and B is
p(Au(notB))+p((notA)uB)=p(a)+p(b)-2p(AnB)
=42+35-30
=47%
1175
Director
Joined: 07 Jun 2004
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Kudos [?]: 735 [0], given: 22

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17 Mar 2005, 07:03
rupstar

can u explain that formula with all of us whats that called can u send some info on the net that has the explnantion

i tried to do this problome with venn or grid i cud not

thanks

rxs0005
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17 Mar 2005, 10:50
This can be solved using Venn diagrams.

35% failed in one subject and 42% in another. 15% failed in both.

Below is the venn diagram representing the failures, in a sample of 100.

____________
______|_________
20% | 15% | 27% |
|_____ |________|
|
____________|
Obviously, those failing in one of the subjects = 20 + 27 = 47%

Total = 47% of 2500 = 1175.
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17 Mar 2005, 14:55
I think it is easier to use Venn diagrams...At least for me...
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18 Mar 2005, 02:49
47% of 2500
Venn Diagram are a good idea. One will not commit any mistake.
Senior Manager
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18 Mar 2005, 09:43
Thanks guys, the OA is C
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19 Mar 2005, 12:28
Ans is c i.e. 1175

since in A subject 35% of 2500 failed i.e. 875
in B subject 42% of 2500 failed i.e. 1050
Failed in both the subject 15%of 2500 i.e. 375

student failed in A alone=875-375=500
student failed in B alone=1050-375=675
Student failed in either of the two subjects=500+675=1175
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Re: In an examination, 35% candidates failed in one subject and [#permalink]

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01 Aug 2013, 11:49
I dont understand the answer. The question asks how many passed in either subject but not in both?

Aren't you guys calculating how many failed in either subject but not in both?
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Re: In an examination, 35% candidates failed in one subject and [#permalink]

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02 Aug 2013, 05:14
OA is not C but D.

The question asks for the number passed, not for failed.

I cross verified in another forums and the OA is those forums is D.

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Re: In an examination, 35% candidates failed in one subject and   [#permalink] 02 Aug 2013, 05:14
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