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# How many of the 60 applicants for a job passed neither the physical

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
How many of the 60 applicants for a job passed neither the physical  [#permalink]

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21 Feb 2018, 01:13
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Difficulty:

15% (low)

Question Stats:

93% (01:10) correct 7% (00:52) wrong based on 56 sessions

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How many of the 60 applicants for a job passed neither the physical nor the written exam?

(1) Of the 60 applicants, exactly 10% passed both the physical and the written exams.

(2) Of the 60 applicants, exactly 50% passed the physical exam, and exactly 20% passed the written exam.

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Location: India
GMAT 1: 710 Q49 V36
Re: How many of the 60 applicants for a job passed neither the physical  [#permalink]

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21 Feb 2018, 03:43
Bunuel wrote:
How many of the 60 applicants for a job passed neither the physical nor the written exam?

(1) Of the 60 applicants, exactly 10% passed both the physical and the written exams.

(2) Of the 60 applicants, exactly 50% passed the physical exam, and exactly 20% passed the written exam.

passed neither

statement 1 gives 10% passed both =- 6

statement 2 gives 50% passed one=30 and 20% passed the other = 12 .. now other 18 may be passed in none/both

combining

we know exactly passed in both /none

(C) imo
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Re: How many of the 60 applicants for a job passed neither the physical  [#permalink]

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21 Feb 2018, 09:36
Hatakekakashi wrote:
Bunuel wrote:
How many of the 60 applicants for a job passed neither the physical nor the written exam?

(1) Of the 60 applicants, exactly 10% passed both the physical and the written exams.

(2) Of the 60 applicants, exactly 50% passed the physical exam, and exactly 20% passed the written exam.

passed neither

statement 1 gives 10% passed both =- 6

statement 2 gives 50% passed one=30 and 20% passed the other = 12 .. now other 18 may be passed in none/both

combining

we know exactly passed in both /none

(C) imo

Since they Didn't specify that 50% passed in Physical Only and 30% in Written Exam Only... I think the remaining 20% passed in neither physical nor written Exam.

Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: How many of the 60 applicants for a job passed neither the physical  [#permalink]

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21 Feb 2018, 10:01
cksidharthan wrote:
Hatakekakashi wrote:
Bunuel wrote:
How many of the 60 applicants for a job passed neither the physical nor the written exam?

(1) Of the 60 applicants, exactly 10% passed both the physical and the written exams.

(2) Of the 60 applicants, exactly 50% passed the physical exam, and exactly 20% passed the written exam.

passed neither

statement 1 gives 10% passed both =- 6

statement 2 gives 50% passed one=30 and 20% passed the other = 12 .. now other 18 may be passed in none/both

combining

we know exactly passed in both /none

(C) imo

Since they Didn't specify that 50% passed in Physical Only and 30% in Written Exam Only... I think the remaining 20% passed in neither physical nor written Exam.

hi..

you would be wrong here..
if 50% passed in physical and 20% in written, the answer can vary from 30% to 50%..
50% when the 20% in written are a subset of those in physical that is 20% passed in BOTH and 30% only in physical
30% when the 20% in written are separate from those in physical that is 20% passed in written and 30% only in physical
insuff

I tells you that 10% passed in BOTH
so from I and II answer is 100+10-50-20=40

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Re: How many of the 60 applicants for a job passed neither the physical  [#permalink]

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21 Feb 2018, 12:51

I solved the problem using matrix method as below.

Attachment:
File comment: solution using matrix method

matrix.png [ 384.91 KiB | Viewed 491 times ]
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Joined: 23 Sep 2016
Posts: 237
Re: How many of the 60 applicants for a job passed neither the physical  [#permalink]

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22 Feb 2018, 00:50
Bunuel wrote:
How many of the 60 applicants for a job passed neither the physical nor the written exam?

(1) Of the 60 applicants, exactly 10% passed both the physical and the written exams.

(2) Of the 60 applicants, exactly 50% passed the physical exam, and exactly 20% passed the written exam.

we need both information as statement 1 only tell about applicant who passed both the exam and not anything else whereas statement 2 tell about people who passed and not passed both exams not combined information and by both information we can neither is 24. So IMO is C
Re: How many of the 60 applicants for a job passed neither the physical   [#permalink] 22 Feb 2018, 00:50
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