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Of the 200 students at University XYZ majoring in one or more of the

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Of the 200 students at University XYZ majoring in one or more of the  [#permalink]

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New post 25 May 2016, 04:35
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Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 130 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from

A. 30 to 70
B. 70 to 100
C. 110 to 130
D. 130 to 150
E. 150 to 170

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Of the 200 students at University XYZ majoring in one or more of the  [#permalink]

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New post 25 May 2016, 09:20
if there are 130 students majoring in electrical then there must be 70 person not majoring electrical at all, since both of the student not majoring electrical and mechanical is at least 30, so the number of the student who are not majoring electrical but majoring mechanical will be at least 40.

if there are 150 students majoring in mechanical there must be 50 students who are not majoring mechanical at all, since the number of the student who are not majoring electrical but majoring mechanical will be at least 40, hence the number of students both majoring mechanical and electrical will be at least 110


so there must be at least 110 students who major in both
see the answers option the only possible answer is C !
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Re: Of the 200 students at University XYZ majoring in one or more of the  [#permalink]

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New post 25 May 2016, 09:49
Bunuel wrote:
Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 130 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from

A. 30 to 70
B. 70 to 100
C. 110 to 130
D. 130 to 150
E. 150 to 170



Hi,

lower point = Sum in each - total possible = 150+130- (200-30) = 280-170 =110...
higher point = entire 130 majoring in electrical major in mehanical too , so = 130..
range = 110 to 130
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Re: Of the 200 students at University XYZ majoring in one or more of the  [#permalink]

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New post 12 May 2018, 03:12
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