Direction for questions 9 to 12:

Coach Rahul 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. Rahul 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 scorers from India, where K, R, S, V and Y represent Krunal, Rohit, Sanjay, Virat and Yogesh respectively. The Middle triangle in each diagram denotes the percentage of 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. Rahul also calculated two batting indices for each player based on his scores in the tournament; 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.

Among the players mentioned, who can have the lowest R-index from the tournament?

Option 1 -

Only Krunal, Rahul or Yogesh

Option 2 -

Only Krunal or Rohit

Option 3 -

Only Krunal or Yogesh

Option 4 -

Only Krunal

0 3 Views | Posted 3 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    3 months ago
    Correct Option - 1


    Detailed Solution:

    (a)

    If y2 < 40, then y’s R-index = 87 – y2 > 47; i.e. 47 < Y’s R-index ≤ 87

    If y2 > 40, then Y’s R-index = 87 – 40 = 47

    47 ≤ Y’s R-index ≤ 87

    Similarly,

     23 ≤ K’s R-index ≤ 51

    33 ≤ S’s R-index ≤ 55

    53 ≤ S’s R-index ≤ 75

    82 ≤ V’s R-index ≤ 130

    Any one of Y, K or R could have the lowest R-index.

    Hence, option (a).

Similar Questions for you

V
Vishal Baghel

(c)                                                                                                                                                                 

V
Vishal Baghel

the highest average is Rs. 136   

V
Vishal Baghel

Using the data from above question, the lowest average is Rs. 100.

V
Vishal Baghel

We get the following table of earnings:

Persons

Win Total

Average

P

36 * 150 + 14 * 100 = 6800

136

Q

34 * 150 + 21 * 100 = 7200

131

R

23 * 150 + 36 * 100 = 6850

116

S

30 * 150 + 30 * 100 = 6000

100

Now we can see that the largest difference

= Maximum – Minimum = Rs. 7500 – Rs. 6800

= Rs. 700

V
Vishal Baghel

IITs = 60; IIMS = 40   

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