Knewton Brutal Challenge - Week 11 (Back to Math!)

by , Jun 9, 2010

Math is back; the shirt is forever. Work is to be shown.

A certain floor of an office building has 1,200 square feet of floor area allocated to 2 equally sized conference rooms and 6 rectangular offices. If no office can be larger than a conference room, does each conference room have a floor area of less than 200 square feet?

1) Each conference room must have a smaller area than the combined areas of any three offices and a larger area than the combined areas of any two offices.

2) The four walls of each office have a combined length of less than 46 feet.

(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.