Xavier Aptitude Test 2017 Paper

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Study the data given in the caselet below and answer the questions 63-64 that follow:
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 o f runs conceded by a bowler divided by the number o f 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 : 64 of 97

Marks: +1, -0

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?

S1 only.
S2 only.
Either S1 or S2.
S1 and S2 in combination.
The economy rate can be calculated without using S1 or S2.

Validate

Solution:

(d) Economy rates are 6 ,6 ,7,9 which exclude worst bowler and best bowler. As per

S _1

, Economy rates of specialist bowlers are lower than that of nonspecialist bowlers so let’s take economy rates of specialist bowlers as 5, 6 and 6 .
Hence their cumulative runs would be (5 x4) + (6x4) + (6 x 4) = 68
As per

S_2

, cumulative runs for non specialist bowlers = 69. And their economy rates are 7,9. Let’s take economy rate of worst bowler be x
So (7 x 3) +(9 x2) + (x x 3)= 69⇒x=10
If we take economy rate of best bowler as 4 or less, then economy rate of worst bowler is obtained as less than 9. This violates the given condition.
Hence the case solved above is absolutely correct.
So we can find the economy rate of worst bowler using both the statements.
Hence answer is option D.

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