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Of the 430 travellers on an plane, 220 travellers are fluent in

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Joined: 07 Dec 2016
Posts: 45

Kudos [?]: 56 [0], given: 27

Of the 430 travellers on an plane, 220 travellers are fluent in [#permalink]

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New post 15 Apr 2017, 08:58
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  25% (medium)

Question Stats:

83% (02:08) correct 17% (01:10) wrong based on 60 sessions

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Of the 430 travellers on an plane, 220 travellers are fluent in French language. How many of the travellers are fluent in German language?

(1) The number of travellers who are fluent in both French and German languages is twice the number of travellers who are fluent in neither French nor German language.
(2) 25 travellers are not fluent in either German or French language.
[Reveal] Spoiler: OA

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Last edited by amathews on 17 Apr 2017, 05:59, edited 1 time in total.

Kudos [?]: 56 [0], given: 27

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Joined: 04 Dec 2015
Posts: 362

Kudos [?]: 208 [2] , given: 46

GMAT 1: 790 Q51 V49
GRE 1: 340 Q170 V170
Re: Of the 430 travellers on an plane, 220 travellers are fluent in [#permalink]

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New post 15 Apr 2017, 15:57
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Expert's post
amathews wrote:
Of the 430 travellers on an plane, 220 travellers are fluent in French language. How many of the travellers are fluent in German language?

(1) The number of travellers who are fluent in both French and German languages is twice the number of travellers who are fluent in neither French nor German language.
(2) 25 travellers are not fluent in either German or French language.


An overlapping sets DS problem! These aren't my favorite, just because they take a lot of writing/organization. My initial scratch work is attached. Once you realize that neither statement is sufficient alone, combine them and fill out the chart to find that 185+2(25) = 235 travelers are fluent in German.
Attachments

430 travelers.png
430 travelers.png [ 33.76 KiB | Viewed 351 times ]


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Kudos [?]: 208 [2] , given: 46

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Joined: 17 Aug 2012
Posts: 149

Kudos [?]: 16 [1] , given: 138

Location: India
Concentration: General Management, Strategy
Schools: Copenhagen, ESMT"19
GPA: 3.75
WE: Consulting (Energy and Utilities)
Re: Of the 430 travellers on an plane, 220 travellers are fluent in [#permalink]

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New post 25 Apr 2017, 23:28
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Toal no. of People = fluent in French + fluent in german - fluent in both french & german + fluent neither in german or french
using statement 1 and 2 above can be solved

Kudos [?]: 16 [1] , given: 138

Re: Of the 430 travellers on an plane, 220 travellers are fluent in   [#permalink] 25 Apr 2017, 23:28
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Of the 430 travellers on an plane, 220 travellers are fluent in

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