Four persons A, B, C and D are playing a game of blindly picking the balls from a bag. This bag contains five balls, each of a different colour among Red, Green, Blue, Yellow and White, and these five balls fetch 1, 2, 3, 4 and 5 points respectively. The game is being played in four rounds. In each round, each person randomly takes out one ball from the bag and places it back into the bag. Based on the colour of the ball, they have been given points as mentioned above. Further it is known that,
(i) each ball was picked by at least one person and each ball was picked a different number of times. (ii) none of A, B and C picked the same ball in any two rounds and the maximum points scored by any of A, B and C in all the four rounds put together are 12. (iii) among the four rounds, the maximum points were scored in round III and A picked the white ball in round III. (iv) in each of rounds I, III and IV no two players picked the same ball. (v) the points scored by A and that by B in all the four rounds put together are equal. (vi) the green ball was picked more number of times than the white ball. The sum of the points scored by A in round I and that scored by D in round IV is 5. (vii) one of the five balls contributed a score of 20 to the total points scored in all the four rounds put together. |
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