Set--24--Q.3--Red & Blue chips

[prachich1987]

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.
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� 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

[naremnaresh]

possible combinations are if we consider first statement.
x y
9 1
8 2
7 3
6 4
5 5

if we take 9, 1 then 5 * 9 + 1 * 3 = 48 average is 48/ 8 = 6 which is integer
for other combinations it is not a integer
for 5,5 also we get integer value but to satisfy the x>y condition only 9,1 combinations works.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE
is sufficient.