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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 economy rates of the specialist bowlers are lower than that of the non-specialist bowlers.
S2. The cumulative runs conceded by the three non-specialist bowlers were 1 more than those conceded by the three specialist bowlers.
Which of the above statements or their combinations can help arrive at the economy rate of the worst bowler?
As per Statement given paragraph the economy rates are 6,6,7,9 which exclude best bowler and worst bowler
And Economy rates of specialist bowlers are lower than that of nonspecialist bowlers.
Let’s take economy rates of specialist bowlers as 5, 6, 6.
Hence their cumulative runs would be (5 × 4) + (6 × 4) + (6 × 4) = 68
As per Statement 2, Total runs for non specialist bowlers =69. And their
economy rates are 7, 9. Let’s take economy rate of worst bowler be x
(7 × 3) + (9 × 2) + (x × 3) = 69
=> x =10
For the lowest values of the specialist bowler we take 4. Then value of the worst bowler will be less than 9 which is incorrect.
Hence only a single case is possible.
So we can find the economy rate of worst bowler using both the statements.
Hence answer is option D.
