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# In a group of 70, every member speaks English or French. How many

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Manager
Joined: 07 Jun 2017
Posts: 174
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
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In a group of 70, every member speaks English or French. How many  [#permalink]

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26 Oct 2017, 21:35
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Difficulty:

65% (hard)

Question Stats:

41% (01:11) correct 59% (01:14) wrong based on 92 sessions

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In a group of 70, every member speaks English or French. How many members speak only French?

(1) 50 members speak English.
(2) 10 members speak both English and French.

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Naveen
email: nkmungila@gmail.com
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Manager
Joined: 05 Dec 2016
Posts: 243
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: In a group of 70, every member speaks English or French. How many  [#permalink]

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26 Oct 2017, 22:44
Total=English+French+Both
70=English+French+Both
(1) 50 persons speak english, including both, so we have got the value for 2 out of 3 variables from the equation above, substituting:
70=50(English+Both)+French
French=70-50=20
Sufficient
(2) 10 person both speak english and french, that gives us value for 1 out of 3 variables from tha equation above, hence Insufficient.

Intern
Joined: 15 Mar 2017
Posts: 41
Location: India
GMAT 1: 720 Q50 V37
GPA: 4
Re: In a group of 70, every member speaks English or French. How many  [#permalink]

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19 Dec 2017, 02:16
Alexey1989x wrote:
Total=English+French+Both
70=English+French+Both
(1) 50 persons speak english, including both, so we have got the value for 2 out of 3 variables from the equation above, substituting:
70=50(English+Both)+French
French=70-50=20
Sufficient
(2) 10 person both speak english and french, that gives us value for 1 out of 3 variables from tha equation above, hence Insufficient.

Hi Alexey1989x,

Total number of people would be = English + French - both ( using the set formula for 2 elements )

Statement 1 gives the value of English + both = 50
Number of variables = 3; Equations = 2 Cannot be solved

Similarly for statement 2
Number of variables = 3; Equations = 2 Cannot be solved

Using both the statements we have 3 equations and 3 statements. Can be solved easily.

French = 40, English = 40 and both = 10
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Manager
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Posts: 243
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: In a group of 70, every member speaks English or French. How many  [#permalink]

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19 Dec 2017, 02:23
SaGa wrote:
Alexey1989x wrote:
Total=English+French+Both
70=English+French+Both
(1) 50 persons speak english, including both, so we have got the value for 2 out of 3 variables from the equation above, substituting:
70=50(English+Both)+French
French=70-50=20
Sufficient
(2) 10 person both speak english and french, that gives us value for 1 out of 3 variables from tha equation above, hence Insufficient.

Hi Alexey1989x,

Total number of people would be = English + French - both ( using the set formula for 2 elements )

Statement 1 gives the value of English + both = 50
Number of variables = 3; Equations = 2 Cannot be solved

Similarly for statement 2
Number of variables = 3; Equations = 2 Cannot be solved

Using both the statements we have 3 equations and 3 statements. Can be solved easily.

French = 40, English = 40 and both = 10

"Statement 1 gives the value of English + both = 50
Number of variables = 3; Equations = 2 Cannot be solved "

Total=English + both + French
70=50+French
French=20 (iaw to the stimulkus we need ONLY French)

A is sufficient
Retired Moderator
Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82
Re: In a group of 70, every member speaks English or French. How many  [#permalink]

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19 Dec 2017, 11:04
SaGa wrote:
Alexey1989x wrote:
Total=English+French+Both
70=English+French+Both
(1) 50 persons speak english, including both, so we have got the value for 2 out of 3 variables from the equation above, substituting:
70=50(English+Both)+French
French=70-50=20
Sufficient
(2) 10 person both speak english and french, that gives us value for 1 out of 3 variables from tha equation above, hence Insufficient.

Hi Alexey1989x,

Total number of people would be = English + French - both ( using the set formula for 2 elements )

Statement 1 gives the value of English + both = 50
Number of variables = 3; Equations = 2 Cannot be solved

Similarly for statement 2
Number of variables = 3; Equations = 2 Cannot be solved

Using both the statements we have 3 equations and 3 statements. Can be solved easily.

French = 40, English = 40 and both = 10

Hi SaGa

Total = Only English+Only French+Both. As (Both+Only English)=English

so Total = English+Only French

70=50+Only French => French=70-50=20. Sufficient
Intern
Joined: 15 Mar 2017
Posts: 41
Location: India
GMAT 1: 720 Q50 V37
GPA: 4
Re: In a group of 70, every member speaks English or French. How many  [#permalink]

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20 Dec 2017, 05:09
Thank you Alexey1989x and niks18. I got confused with only English and English ( only English + both )
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Re: In a group of 70, every member speaks English or French. How many &nbs [#permalink] 20 Dec 2017, 05:09
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