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We will be solving interesting sets as a part of this series LRDI of the Day. I will be posting a video solution by the end of the day. You can keep a track of all the sets by clicking here: LRDI of the Day

#LRDIoftheDay #1

The six members of the Justice League were ranked by a group of friends – Leonard, Sheldon, Raj and Howard. From every friend, each character received a distinct integral rating ranging from 1 to 6, depending on how much the character was liked by that friend, i.e. the character he liked most, was given a rating of 6 and the character he liked least was given a rating of 1 and so on. The six characters were named Batman, Superman, Wonder Woman, Aquaman, Cyborg and Flash. The judges were named Leonard, Sheldon, Raj and Howard.

Further information is given below:

I. Batman received a different rating from each friend. This holds true for the other five characters as well.

II. For each of Batman, Wonder Woman and Cyborg the ratings received from the four friends were in A.P.

III. The sums of four ratings received by Batman, Wonder Woman and Cyborg were also in A.P., with a common difference of 4, not necessarily in that order.

IV. The sums of four ratings received by Superman, Aquaman and Flash were also in A.P., with a common difference of 1, not necessarily in that order.

V. The ratings received by Batman from Sheldon, Wonder Woman from Howard and Cyborg from Raj were the same.

VI. Wonder Woman received a higher rating from Raj as compared to what she received from Sheldon.

The attached table provides partial information about the ratings received by the six characters from the four friends.

1. What was the maximum possible sum of the four ratings received by any of the six characters?

(a) 14 (b) 16 (c) 17 (d) 18

2. What was the sum of the four ratings received by Flash?

(a) 12 (b) 18 (c) 14 (d) None of these

3. What was the rating received by Wonder Woman from Howard?

(a) 2 (b) 3 (c) 4 (d) None of these

4. What was the rating received by Superman from Sheldon?

(a) 1 (b) 3 (c) 6 (d) Cannot be determined

The solution to the set:

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