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in a certain game played with red chips and blue chips, each

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in a certain game played with red chips and blue chips, each [#permalink]

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08 Oct 2006, 09:22
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in a certain game played with red chips and blue chips, each red chip has a point value of X and each blue chip has a point value of Y, where X>Y and X and Y are positive integers. If a player has 5 red chips and 3 blue chips, what is the average (arithmetic mean ) point value of the 8 chips that the player has?

(1) The average point value of one red chip and one blue chip is 5.
(2) The average point value of the 8 chips that the player has is an integer.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE
is sufficient.
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
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08 Oct 2006, 09:31
I think this is C

From 1, r+b/2 = 5 i.e. r+b = 10

Hence possibilities are [9,1][8,2][7,3][6,4] (since x>y)

INSUFF

From 2, 5r+3b/8 is an integer.

INSUFF

Combined 9,1 is the only one that satisfies the requirements. Hence SUFF
08 Oct 2006, 09:31
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