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In a photography exhibition, some photographs were taken by

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In a photography exhibition, some photographs were taken by [#permalink]

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New post 29 Jul 2014, 06:51
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In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia?

A. 36
B. 48
C. 72
D. 96
E. 108
[Reveal] Spoiler: OA
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Re: In a photography exhibition, some photographs were taken by [#permalink]

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New post 29 Jul 2014, 08:22
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goodyear2013 wrote:
In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia?

A. 36
B. 48
C. 72
D. 96
E. 108


Check the matrix below:
Attachment:
Untitled.png
Untitled.png [ 4.56 KiB | Viewed 2416 times ]
Numbers in black are given and in red calculated based on them.

The number of photographs either framed by Jack or taken by Octavia = {Jack} + {Octavia} - {overlap} = 36 + 36 - 24 = 48 ({overlap} is green box).

Answer: B.
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Re: In a photography exhibition, some photographs were taken by [#permalink]

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New post 04 Oct 2015, 19:10
I have a question. Why can't we just add 12 + 12 i.e photos clicked only by Octavia and not framed by Jack + Photos framed only by Jack and not clicked by Olivia?
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Re: In a photography exhibition, some photographs were taken by [#permalink]

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New post 05 Oct 2015, 00:42
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mankakhanna wrote:
I have a question. Why can't we just add 12 + 12 i.e photos clicked only by Octavia and not framed by Jack + Photos framed only by Jack and not clicked by Olivia?


Either A or B includes "Both" too.
So you also need to include the 24 that were taken by Octavia AND framed by Jack.
You get 12 + 12 + 24 = 48

Either Or in logic/Math is a bit different from the way we understand it in day-to-day language.
In Math, "Either A or B" means that it is at least one of A and B. It could be both too.
Either the car is red in colour or it is a Ferrari means it could be a Red Ferrari too but it is definitely at least one of them.
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Re: In a photography exhibition, some photographs were taken by [#permalink]

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New post 03 Jan 2018, 08:13
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: In a photography exhibition, some photographs were taken by   [#permalink] 03 Jan 2018, 08:13
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