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# Of the 150 employees at company X, 80 are full-time, and 100 have work

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
Of the 150 employees at company X, 80 are full-time, and 100 have work  [#permalink]

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27 Dec 2015, 09:54
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:33) correct 19% (01:57) wrong based on 73 sessions

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Of the 150 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?

A. 20
B. 30
C. 50
D. 80
E. 100

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Of the 150 employees at company X, 80 are full-time, and 100 have work  [#permalink]

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29 Dec 2015, 11:46
150 employees
80 are full-time
100 have worked at company X for at least a year
20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year.

How many full-time employees of company X have worked at the company for at least a year?

150-80=70 employees not full time
70-20= 50 employees not full time who worked over a year

100 employees have worked at company X for at least a year-50 employees not full time who worked over a year = 50 full-time employees of company X have worked at the company for at least a year

C. 50
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Joined: 11 Dec 2014
Posts: 1
Of the 150 employees at company X, 80 are full-time, and 100 have work  [#permalink]

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Updated on: 30 Dec 2015, 11:22
3
Solution in the screenshot attached..

Ans. C
Attachments

scrshot.JPG [ 20.05 KiB | Viewed 1613 times ]

Originally posted by koushikpanjee on 30 Dec 2015, 08:58.
Last edited by koushikpanjee on 30 Dec 2015, 11:22, edited 1 time in total.
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Of the 150 employees at company X, 80 are full-time, and 100 have work  [#permalink]

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30 Dec 2015, 11:08
Bunuel wrote:
Of the 150 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?

A. 20
B. 30
C. 50
D. 80
E. 100

Let,
Full time employee who have NOT worked for at least one year = a
Full time employee who have worked for at least one year = b
NON Full time employee who have worked for at least one year = c
NON Full time employee who have NOT worked for at least one year = d

a+b+c+d = 150

a+b = 80
i.e. c+d = 70

b+c = 100
i.e. a+d = 50

d = 20
i.e. c = 70-20 = 50
i.e. b = 100-50 = 50
i.e. a = 80-50 = 30

b = 50

Answer: Option C
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Re: Of the 150 employees at company X, 80 are full-time, and 100 have work  [#permalink]

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06 Feb 2019, 18:40
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Re: Of the 150 employees at company X, 80 are full-time, and 100 have work   [#permalink] 06 Feb 2019, 18:40
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# Of the 150 employees at company X, 80 are full-time, and 100 have work

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