Highest Scorer

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(CAT 2004)

Coach John sat with the score cards of Indian players from the 3 games in a one-day cricket tournament where the same set of players played for India and all the major batsmen got out. John summarized the batting performance through three diagrams, one for each game. In each diagram, the three outer triangles communicate the number of runs scored by the three top scores from India, where K, R, S, V, and Y represent Kaif, Rahul, Saurav, Virender, and Yuvraj respectively. The middle triangle in each diagram denotes the percentage of the total score that was scored by the top three Indian scorers in that game. No two players score the same number of runs in the same game. John also calculated two batting indices for each player based on his scores in the tournaments; the R-index of a batsman is the difference between his highest and lowest scores in the 3 games while the M-index is the middle number, if his scores are arranged in a non-increasing order.




1. For how many Indian players is it possible to calculate the exact M-index?
a. 0
b. 1
c. 2
d. More than 2

2. Among the players mentioned, who can have the lowest R-index from the tournament?
a. Only Kaif, Rahul or Yuvraj
b. Only Kaif or Rahul
c. Only Kaif or Yuvraj
d. Only Kaif

3. How many players among those listed definitely scored less than Yuvraj in the tournament?
a. 0
b. 1
c. 2
d. More than 2

4. Which of the players had the best M-index from the tournament?
a. Rahul
b. Saurav
c. Virender

d. Yuvraj


For answers click here.

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