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# Of 40 applicants for a job, 32 had at least 5 years of prior work expe

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Math Expert
Joined: 02 Sep 2009
Posts: 56266
Of 40 applicants for a job, 32 had at least 5 years of prior work expe  [#permalink]

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30 Aug 2016, 05:18
1
1
00:00

Difficulty:

5% (low)

Question Stats:

90% (01:16) correct 10% (01:55) wrong based on 75 sessions

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Of 40 applicants for a job, 32 had at least 5 years of prior work experience, 24 had advanced degrees, and 16 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?

A. 0
B. 2
C. 4
D. 8
E. 16

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Intern
Joined: 05 Sep 2015
Posts: 43
Re: Of 40 applicants for a job, 32 had at least 5 years of prior work expe  [#permalink]

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30 Aug 2016, 07:00
1
ANSWER: A To solve this problem, you need to divide the applicants into four exclusive groups that do not overlap. The 16 with both experience and degrees are the first group; we can subtract the 16 from the 24 with advanced degrees to determine that 8 have advanced degrees but not 5 years of experience, and we can subtract the 16 from the 32 with experience to determine that there are 16 applicants with 5 years of experience but no advanced degrees. We can then subtract these three groups from the total pool of 40 applicants to determine how many lack both experience and advanced degrees; 40-16-16-8=0, so there were no such applicants among the 40.
Intern
Joined: 14 Jan 2018
Posts: 45
Location: India
Concentration: General Management, Entrepreneurship
GMAT 1: 660 Q50 V29
GPA: 3.8
WE: Engineering (Manufacturing)
Re: Of 40 applicants for a job, 32 had at least 5 years of prior work expe  [#permalink]

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16 Aug 2018, 12:47
Total applicant =40
With 5years ex- 32
With both- 56

40=32+24-16 - no of aplicant not having both

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Senior Manager
Joined: 22 Feb 2018
Posts: 426
Of 40 applicants for a job, 32 had at least 5 years of prior work expe  [#permalink]

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16 Aug 2018, 12:58
Bunuel wrote:
Of 40 applicants for a job, 32 had at least 5 years of prior work experience, 24 had advanced degrees, and 16 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees?

A. 0
B. 2
C. 4
D. 8
E. 16

OA:A
$$\begin{matrix} & Work Exp ≥5 & Work Exp <5 & Total\\ Advance & 16 & 8 & 24 \\ Not Advance & 16 & 0 & 16 \\ Total & 32 & 8 & 40 \end{matrix}$$
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Of 40 applicants for a job, 32 had at least 5 years of prior work expe   [#permalink] 16 Aug 2018, 12:58
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