Amity007
In a translation agency of 100 employees, each employee speaks at least one of the three languages: German, French and Spanish. If 50 employees speak German and none of the employees who speak French also speaks Spanish, then how many employees speak exactly two of the three languages?
(1) 40 of the employees speak only German.
(2) 60 employees speak French or Spanish.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Great question by
Amity007Let's first understand what does question says without looking our 2 statements
We have Total = 100 employs, and there is no speaker who can't speak any one language so, Neither = 0.
German speakers = 50
ok most important line : "none of the employees who speak French also speaks Spanish" : it means that we don't have any speaker who speaks all three language and also we don't have any speaker who speak French and Spanish.
so, only remaining group which can speak two languages are German, French & German, Spanish.
Now let's move on to
statement 1 : 40 of the employees speak only German great so total people speaking German is 50 and we minus it with only German speaker : 50 - 40 = 10
10 is our answer (As we know that we don't have any speaker who speaks all three language and also we don't have any speaker who speak French and Spanish.)
Statement 1 is enoughStatement 2 : 60 employees speak French or Spanish.Great! this statement conveys the same thing that there are 40 of the employees speak only German
so, as we proven statement 1 is enough, we can therefore conclude that
statement 2 is also enough.Ans - D