Question

Mr Phani Ram, the team selector, has made the following observations to improve the performance of the team:
(i) Performance of first five players has improved, whereas performance of last six players has gone down.
(ii) Had there been no extra runs, runs in the second match would have decreased by maximum percentage.
(iii) If the team had played its full 50 overs. it would have scored maximum in the first match.
How many of these observations are true?

• A. Only I and II but not iii
• B. Only ii and iii but not i
• C. Only I and iii but not ii
• D. All three

Answer 1

The correct option is D

All three

Evaluating the observations one by one:
Observation I - Understand that you don't have to use your " Cricket" knowledge to answer this question. Taking the data on its face value, it can be clearly seen that Performance of 1st five players has improved whereas performance of last six players has gone down. Hence observation I is correct. Observation ii - This is a close call. So let us go through the actual calculation.
Percentage decrease in case of
Match 1 = $\frac{22}{227}\times 100=9.69\%$
Percentage decrease in case of
Match 2 = $\frac{18}{165}\times 100=10.9\%$
Percentage decrease in case of
Match 3 = $\frac{17}{167}\times 100=10.17\%$
So, maximum percentage decrease occurs in case of Match 2. Hence Observation (ii) is correct.
Observation iii - Since the average runs per over is maximum in Match 1, hence runs scored in 50 Overs would have been maximum in match 1. So Observation iii is true.
Hence option (d) is the answer.