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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 #42

A set that is a replica of another that appeared in CAT a decade and a half back

Five players Shikhar (S), Rohit (R), Virat (V), Manish (M) and Kedar (K) scored all the runs in a low-scoring 3-match series against the West Indies. We know the runs scored by the top 3 players in each match and the percentage of the total score that was contributed by these top 3 players in each match.

No two batsmen scored the same number of runs in a match and no player scored the same number of runs in any two matches. When it came to evaluating the performance of the players post the series, two indices were used: the RD-index which was the difference between the highest score of a player and the least score of a player in the series and the ST-index which was the median score of a player in the tournament.

1. What is the minimum number of runs scored by Manish in the series?

2. For how many players can we calculate the exact ST-index?

3. At least how many players scored less than 135 runs in all the three matches together?

4. What will be the best value of the RD-index (which means the least numerical value) for any player in the series?

The solution

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