XAT 2017 — QA & DI Question 17
Answer the next 2 questions based on the following information:
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?
Answer & solution
- A
S1 only
- B
S2 only
- C
Either S1 or S2
- D
S1 and S2 in combination
The minimum number of overs can be determined without using S1 or S2
There are 3 specialist bowlers and 3 non- specialists bowlers.
The three specialist bowlers bowled 4 overs each and 3 non-specialist bowlers would have bowled 8 overs.
8 overs can be bowled by 3 non-specialist bowlers when they bowl 3, 3 and overs.
This is the only possibility since maximum overs a non-specialist can bowl is 3 overs.
So, the least number of overs bowled by a non-specialist bowler would be 2 only.
So, none of the S1 and S2 required to answer the question.
Hence, option (e).