Question: For how many Indian players is it possible to calculate the exact M-index?
Explanation:
Consider the game against Pakistan (G1 ).
Runs scored by Y, V and K = 40 + 130 + 28 = 198
Total runs scored = 198/0.9 = 220
∴ Runs scored by R (r 1 ) and S (s 1 ), r 1 , s 1 < 28 and r 1 + s 1 ≤ 22
Consider the game against South Africa (G2 ).
Runs scored by K, R and S = 51 + 49 + 75 = 175
Total runs scored = 175/0.7 = 250
∴ Runs scored by Y (y 2 ) and V (v 2 ), y 2 , v 2 < 49 and y 2 + v 2 ≤ 75
Consider the game against Australia (G3 ).
Runs scored by R, Y and S = 87 + 55 + 50 = 192
Total runs scored = 192/0.8 = 240
∴ Runs scored by V (v 3 ) and K (k 3 ), v 3 , k 3 < 50, v 3 + k 3 ≤ 48
R’s M-index = 49
S’s M-index = 50
V’s M-index ≤ 49
Y’s M-index is either 40 or between 41 and 49.
The M-index of only R and S can be exactly calculated.
Hence, option (c).