How many more men than women are in the room?
(1) There is a total of 20 women and men in the room.
(2) The number of men in the room equals the square of the number of women in the room.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not suffcient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not suffcient.
C. BOTH statements TOGETHER are suffcient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT suffcient.
Subscribe to:
Post Comments (Atom)
1 comment:
Statement (1) is clearly not sufficient - we just get to know the total number 20 = M(en)+W(omen)
Statement (2) provides a tight dependency betweeen M and W. Together with M+W, provided by statement (1) we get a "two equations for two unknowns" system, which can be solved if the equations are (linearly) independent - which, by the way, is the case. So we decide for option (C).
(if curious, you could go for the actual solution - not needed in a DS question - by trial and error: try W=3 -> M=9 ->M+W=12 < 20 -> increment W -> try W=4 -> M=16 -> M+W=20 OK, solution found!
Post a Comment