Of the z students at a certain college, x are studying French and y are studying German. If w are studying both French and German, which of the following expresses the number of students at the college not studying either French or German ?
(A) z + w тАУ x тАУ y
(B) z тАУ w тАУ x тАУ y
(C) z тАУ w тАУ x + y
(D) w + x + y тАУ z
(E) w тАУ x тАУ y тАУ z
I think X - Studying French represents only and both and Y- respectively for German as well.
If we assume that x implies students studying only french and y implies only german, then the answer is B
Let q = number of student taking neither F or G.
(x + y) - w = number of students taking at least one language = z - q
=> q = z + w - x - y.
Answer is A.
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993