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

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Bunuel
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Of the 150 employees at company X, 80 are full-time, and 100 have work [#permalink] New post   27 Dec 2015, 09:54
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A
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83% (01:33) correct 17% (01:56) wrong based on 150 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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C
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Of the 150 employees at company X, 80 are full-time, and 100 have work [#permalink] New post   Updated on: 30 Dec 2015, 11:22
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Solution in the screenshot attached..

Ans. C
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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] New post   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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Of the 150 employees at company X, 80 are full-time, and 100 have work [#permalink] New post   30 Dec 2015, 11:08
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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] New post   12 May 2020, 03:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Of the 150 employees at company X, 80 are full-time, and 100 have work [#permalink]
12 May 2020, 03:32
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