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Bunuel
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How many of the 60 applicants for a job passed neither the physical 21 Feb 2018, 01:13
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C
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93% (01:08) correct 7% (01:03) wrong based on 93 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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C
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Hatakekakashi
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How many of the 60 applicants for a job passed neither the physical 21 Feb 2018, 03:43
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Bunuel
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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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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How many of the 60 applicants for a job passed neither the physical 21 Feb 2018, 09:36
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Hatakekakashi
Bunuel
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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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.

IMO the answer is B
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How many of the 60 applicants for a job passed neither the physical 21 Feb 2018, 10:01
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cksidharthan
Hatakekakashi
Bunuel
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.

IMO the answer is B
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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

so answer C
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How many of the 60 applicants for a job passed neither the physical 21 Feb 2018, 12:51
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answer is C

I solved the problem using matrix method as below.

Attachment:
File comment: solution using matrix method
matrix.png
matrix.png [ 384.91 KiB | Viewed 2686 times ]
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How many of the 60 applicants for a job passed neither the physical 22 Feb 2018, 00:50
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Bunuel
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.
Show more
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
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