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14 Aug 2024, 01:31
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C
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Difficulty:
15%
(low)
Question Stats:
83% (01:43) correct
17%
(01:36)
wrong
based on 101
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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.
(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.
14 Aug 2024, 19:45
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\(\text{Total Travellers = French + German - Both + Neither}\)
\(430=220+x-\)\(\text{ Both + Neither}\)
Statement 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.
\(\text{Both = 2*Neither}\)
\(430=220+x-\)\(\text{ 2N + N}\)
\(430=220+x-N\)
NOT SUFFICIENT
Statement 2: 25 travellers are not fluent in either German or French language.
\(430=220+x-\)\(\text{ Both + 25}\)
NOT SUFFICIENT
Combined:
\(\text{Both = 2*Neither & N=25}\)
\(430=220+x-25\)
\(x=430-220+25\)
SUFFICIENT
Answer is C
\(430=220+x-\)\(\text{ Both + Neither}\)
Statement 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.
\(\text{Both = 2*Neither}\)
\(430=220+x-\)\(\text{ 2N + N}\)
\(430=220+x-N\)
NOT SUFFICIENT
Statement 2: 25 travellers are not fluent in either German or French language.
\(430=220+x-\)\(\text{ Both + 25}\)
NOT SUFFICIENT
Combined:
\(\text{Both = 2*Neither & N=25}\)
\(430=220+x-25\)
\(x=430-220+25\)
SUFFICIENT
Answer is C
