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The ratio of the number of women to the number of men to the [#permalink]
14 Nov 2008, 09:08
The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room? (1) The total number of women and children in the room is 12. (2) There are fewer than 4 men in the room.
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.
B alone is sufficient, because if there are fewer then 4 men in the room, there must be 2 men in the room (as 3 or 1 does not allow for a number of children that is an integer, and there's no such thing as a half-person).