s91arvindh wrote: ↑Sun May 04, 2014 7:41 pm
In a class of 25 students, every student takes either Spanish, Latin or French or two of the three but not all three. 9 take Spanish, 7 take Latin and 5 take exactly two languages.Number of students who take French ?
[spoiler]
Answer 14[/spoiler]
Note: The above question is from a handout which is intended for understanding the concepts
I'm not a big fan of memorizing formulas, so here's a way to solve the question using diagrams.
We're going to start from the center and work our way out.
Each student studies either Spanish, Latin, or French, or two of the three, but no students study all three languages.
First we can place 0 in the intersection of all three circles.
5 study exactly two language
Since we aren't told that the distribution of those five students who study exactly two languages, we can distribute them anyway we want.
Here's one option:
9 study Spanish, 7 study Latin
We'll add 5 and 4 in order to meet the conditions above
There are 25 students in the class
So far, we've accounted for 14 of the 25 students.
So the remaining 11 students must study only French
So the TOTAL number of students studying French = 2 + 0 + 1 + 11 =
14
Answer: C
Cheers,
Brent
Last edited by
Brent@GMATPrepNow on Mon Aug 24, 2020 5:33 pm, edited 1 time in total.
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