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Variable Inequalities
Nina and Teri are playing a dice game. Each girl rolls a pair of 12-sided dice,
numbered with the integers from -6 through 5, and receives a score that is
equal to the negative of the sum of the two die. (E.g., If Nina rolls a 3 and a
1, her sum is 4, and her score is -4.) If the player who gets the highest score
wins, who won the game?
(1) The value of the first die Nina rolls is greater than the sum of both
Teri's rolls.
(2) The value of the second die Nina rolls is greater than the sum of both
Teri's rolls.
(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.
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