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In an innings of a T20 cricket match (a team can bowl for 20 overs) 6 bowlers bowled from the fielding side, with a bowler allowed maximum of 4 overs. Only the three specialist bowlers bowled their full quota of 4 overs each, and the remaining 8 overs were shared among three non-specialist bowlers. The economy rates of four bowlers were 6, 6, 7 and 9 respectively. (Economy rate is the total number of runs conceded by a bowler divided by the number of overs bowled by that bowler). This however, does not include the data of the best bowler (lowest economy rate) and the worst bowler (highest economy rate). The number of overs bowled and the economy rate of any bowler are in integers.
Read the two statements below:
S1: The worst bowler did not bowl the minimum number of overs.
S2: The best bowler is a specialist bowler.
Which of the above statements or their combinations can help arrive at the minimum number of overs bowled by a non-specialist bowler?
Since only the specialist bowlers complete their quota of 4 overs, the maximum over a non-specialist bowler can bowl is three.
Total number of overs bowled by non-specialist bowlers = 8
If one of the three bowlers bowls 1 over, the other two will bowl 3 and 4 overs. Since the maximum over a non-specialist bowler can bowl is three, this is an invalid case.
If one of the non-specialist bowlers bowls 2 overs, the other two will bowl 3 overs each.
Thus, the minimum a non-specialist bowler can bowl is two overs.
Since the above calculation did not need either of S1 and S1,
The correct answer is E.
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