Knewton Brutal Math Challenge - Friday Edition!

by , Sep 10, 2010

Knewton's Brutal Challenge is back, so flex those Data Sufficiency muscles. Leave your answer and explanation in the comments for this week's brutal bragging rights.

A certain company has 500 employees split among three divisions, such that there are at least 100 employees in each division. An $8,000,000 benefits budget is to be distributed among the three divisions, and a division will be considered underfunded if it receives no more than $10,000 per employee, and overfunded if it receives at least $40,000 per employee. How many divisions of the company are overfunded?

  1. If the amounts assigned to each division are rearranged such that each division receives an amount that had been assigned to another division, there is no possible rearrangement in which any division is underfunded.
  2. If the amounts assigned to each division are rearranged such that each division receives an amount that had been assigned to another division, there is no possible rearrangement in which any division is overfunded.

(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.