Five friends are playing a game consisting of several rounds. In each round, every friend is assigned a unique score ranging from 1 to 5, ensuring no two friends receive the same score in that round. It is also known that each friend obtained a different score in each round. The provided table presents partial details about the scores earned by each friend in different rounds, along with their total scores across all rounds. Using this information, answer the following questions.
Solution
We know each friend obtained a different score in each round and each friend has a unique score in each round.
The scores are from 1 to 5.
Sum of 1 to 5 = 1+2+3+4+5 = 15
That means if we look at the total score of round 1 to round 4, the score not obtained in any round by any friend will be 15-total score.
For Abhay = 15-12 = 3 (Abhay didn't received a score of 3 in any round).
Similarly, for Bharat, Chandan, Deepak and Ganesh, the scores not obtained in any round are 4,5,2 and 1, respectively.
Now filling the table-
For Ganesh, total = 14
We know round 1+ round 2 = 9, so round 3+round 4 = 5 and scores will be 2 and 3.
Since Bharat has scored 2 in round 3, Ganesh will score 3 in round 3, thus he scores 2 in round 4.
Chandan has either received a score of 4 in round 1 or round 3. But, in round 1, Ganesh has scored 4, so Chandan scored 4 in round 3 and scored 1 in round 1.
There are 2 cases possible.
Deepak did not receive a score of 2 in any round.
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