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T20 Match Bowling Analysis

XAT 2017 · Quantitative Ability & Data Interpretation · Hard · Data Interpretation

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Passage / data set

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.

Question 1 of 2

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?

  1. A.

    S1 only.

  2. B.

    S2 only.

  3. C.

    Either S1 or S2.

  4. D.

    S1 and S2 in combination.

  5. E.

    The minimum number of overs can be determined without using S1 or S2.

Answer

E

Explanation

The non-specialist bowlers shared 8 overs. Maximum overs a non-specialist can bowl is 3. If any non-specialist bowls 1 over, the other two must bowl 3 and 4 overs, which is invalid as non-specialists cannot bowl 4 overs. Thus, overs must be split as 2, 3, 3. The minimum overs by any non-specialist is 2, independent of S1 and S2.

Question 2 of 2

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?

  1. A.

    S1 only.

  2. B.

    S2 only.

  3. C.

    Either S1 or S2.

  4. D.

    S1 and S2 in combination.

  5. E.

    The economy rate can be calculated without using S1 or S2.

Answer

D

Explanation

Combining S1 and S2 uniquely fixes the economy rates and overs assigned to specialists vs non-specialists, yielding a unique integer solution for the worst bowler's economy rate.

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