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


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Re: In the Biotechnology class of 2000, there were X graduates. 32 of the [#permalink]
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]
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
Set.png [ 7.75 KiB | Viewed 2260 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]
Expert Reply
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

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