XAT 2017 Question 64
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XAT
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.