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Question:

Which of the players had the best M-index from the tournament?

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 (r₁) and S (s₁), r₁, s₁ < 28 and r₁ + s₁ ≤ 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 (y₂) and V (v₂), y₂, v₂ < 49 and y₂ + v₂ ≤ 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 (v₃) and K (k₃), v₃, k₃ < 50, v₃ + k₃ ≤ 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.

∴ S had the best M-index.

Hence, option (b).