If the runs scored by E in last 3 matches of the tournament are not considered, his average runs scored in the tournament will decrease by 9. If the runs scored by E in the 26th and 27th match are below 128 and no two scores among these 3 scores are equal, what are the minimum possible runs scored by E in the 28th match

  • 137
  • 135
  • 141
  • 133
  • 139
  • Explanation:

    Total runs scored by E in 28 matches

    = 28×55 = 1540

    If last three matches are not considered then total runs scored by E in 25 matches

    = 25 ×(55-9) = 25×46=1150

    ∴ Total runs scored in last 3 matches

    =1540-1150=390

    Minimum possible runs scored by E in 28th match can be possible if E scoreds maximum runs in 26th and 27th matches

    Runs scored by E in 26th and 27th matches

    = 126 and 127

    ∴ Minimum possible runs scored by E in the 28th match = 390-(126+127)

    =390-253=137

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