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# In the Biotechnology class of 2000, there were X graduates. 32 of the

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Math Expert
Joined: 02 Sep 2009
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In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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21 Jun 2016, 05:14
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Difficulty:

5% (low)

Question Stats:

92% (01:38) correct 8% (03:24) wrong based on 106 sessions

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In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?

A. 69.
B. 71.
C. 73.
D. 75.
E. 76.

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Joined: 21 Jun 2016
Posts: 80
Location: India
Re: In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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21 Jun 2016, 05:34
Total = 32 +45 -13 +9 = 73 .... My first post on the forum... I hope I am correct

C is correct choice.

Bunuel wrote:
In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?

A. 69.
B. 71.
C. 73.
D. 75.
E. 76.
Director
Joined: 21 Mar 2016
Posts: 518
Re: In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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21 Jun 2016, 06:04
total number of graduates = 32+45 -13 +9
= 73 .
option C
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In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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21 Jun 2016, 09:02
Bunuel wrote:
In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?

A. 69.
B. 71.
C. 73.
D. 75.
E. 76.

C is the answer

Doing Job Not Doing Job Total
Continue degree 13 32 45
Not Continue degree 19 9
Total 32 41 73

Can anyone please advise me how to draw tables for overlapping sets questions. Thanks in advance.
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Intern
Joined: 21 Jun 2016
Posts: 5
Re: In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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24 Jun 2016, 00:11
According to my calculations - Correct answer is 73.
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Re: In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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24 Jun 2016, 04:49
Graduates got job = 32
Graduates continued to second degree = 45
Graduates got job and continued to second degree = 13
Graduates didn't get job and didn't continue to second degree = 9

Job No Job Total

Second Degree 13 32 45

No Second Degree 19 9 28

Total 32 41 X

Therefore X = 73 ..... Answer C ......

Please, consider giving kudos if you find my answer helpful in any way
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Joined: 04 Mar 2012
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Re: In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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27 Jun 2016, 04:56
Total = Grp 1 (+) Grp 2 (-) Both the Grps (+) Neither of the Grps
X = 32 (+) 45 (-) 13 (+) 9
X = 73

Correct Ans - C
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Re: In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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27 Jun 2016, 12:14
Bunuel wrote:
In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?

A. 69.
B. 71.
C. 73.
D. 75.
E. 76.

Attachment:

Set.png [ 7.75 KiB | Viewed 1111 times ]

Total no of Graduates = ( 32 + 47 - 15 ) + 9 => 73

Hence correct answer must be (C)

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Re: In the Biotechnology class of 2000, there were X graduates. 32 of the  [#permalink]

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26 Feb 2018, 11:18
Bunuel wrote:
In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?

A. 69.
B. 71.
C. 73.
D. 75.
E. 76.

X = found a job + got second degree - both + neither

X = 32 + 45 - 13 + 9

X = 73

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Re: In the Biotechnology class of 2000, there were X graduates. 32 of the   [#permalink] 26 Feb 2018, 11:18
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# In the Biotechnology class of 2000, there were X graduates. 32 of the

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