Bunuel wrote:
In a class, 20 students speak Spanish, 15 speak French, and 15 speak Chinese. How many students are in the class?
(1) Exactly 30 percent of the students in the class speak French.
(2) All of the students speak English and none speaks more than two languages.
IMO, Answer should be
'A'From prompt we know - In a class,
Students speaking Spanish = 20
Students speaking French = 15
Students speaking Chinese = 15
We need to find total number of students in the class = ?
Statement 1 - Exactly 30 percent of the students in the class speak French.So here we have, students who speak French = 30% of the total class strength.
So if we know the number of students who speak french we can find the answer to our question of what is the total number of students in the class.
As from the prompt we know that
Students speaking French = 15.
Hence we can find the total number of students in the class.
Hence Statement 1 is SufficientStatement 2 - All of the students speak English and none speaks more than two languages.So here we have that all class students speak English and no one in the class speaks more than two languages.
So all students mentioned above able to speak French, Spanish and Chinese will also be speaking English.
And as students do not know more than 2 languages, can we say Class Strength = 'French' + 'Spanish' + 'Chinese' = 20 + 15 + 15 = 50 ???
NO, WE CANNOT SAY THIS.We did not consider students who can speak ONLY ENGLISH as it is given in statement all speak English and none speaks more than two languages.
But we can have some students who only speak English which satisfies the above statement.
That number can likely be zero or can likely be any other value. We cannot say for sure.
Hence Statement 2 is Insufficient _________________
Regards,
AD
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