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# A school wants all of the students to take at least one science lectur

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Senior Manager
Joined: 15 Feb 2018
Posts: 257
A school wants all of the students to take at least one science lectur  [#permalink]

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06 Jan 2019, 17:52
4
00:00

Difficulty:

45% (medium)

Question Stats:

65% (02:20) correct 35% (02:40) wrong based on 57 sessions

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A school wants all of the students to take at least one science lecture among Physics, Chemistry, and Biology. 30 students took Physics, 25 students took Chemistry, and 17 students took Biology. 2 students took three lectures. 7 students took Physics and Chemistry, 6 students took Chemistry and Biology, 8 students took Biology and Physics. How many students took only 1 science lecture?

A. 33
B. 36
C. 41
D. 51
E. 57
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Joined: 18 Jul 2018
Posts: 938
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A school wants all of the students to take at least one science lectur  [#permalink]

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07 Jan 2019, 22:29
1
Physics = 30
Chemistry = 25
Biology = 17
All three = 2
Only P and C = 7-2 = 5
Only B and C = 6-2 = 4
Only P and B = 8-2 = 6
Only Physics = 30-6-5-2 = 17
Only Chemistry = 25-5-4-2 = 14
Only Biology = 17-6-4-2 = 5
One subject = 17+14+5 = 36

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Re: A school wants all of the students to take at least one science lectur  [#permalink]

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12 Jan 2019, 15:54
philipssonicare wrote:
A school wants all of the students to take at least one science lecture among Physics, Chemistry, and Biology. 30 students took Physics, 25 students took Chemistry, and 17 students took Biology. 2 students took three lectures. 7 students took Physics and Chemistry, 6 students took Chemistry and Biology, 8 students took Biology and Physics. How many students took only 1 science lecture?

A. 33
B. 36
C. 41
D. 51
E. 57

Man, these are tough. I tried using the two forumulas in the GMATClub book and they did not help.

https://gmatclub.com/forum/overlapping- ... 05636.html
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Re: A school wants all of the students to take at least one science lectur   [#permalink] 12 Jan 2019, 15:54
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