XAT 2017 — Decision Making Question 15
Analyse the following caselet and answer the question that follows:
A University coach was asked to select teams in three sports: Shooting, Cricket (batsmen only) and “Snakes & Ladder”. The honest and keen observer head boy of the school informed the coach that he had observed 100 students playing the three games – shooting, cricket and “Snakes & Ladder”. In shooting, all students were given 100 chances to hit a target. In cricket, a batsman faced a maximum of 100 balls, provided he DID NOT GET OUT. In “Snakes & Ladder”, every student could play 100 matches, one each with the other students and one against a computer. In shooting, a player got one point for hitting the target and zero point for missing the target. In cricket, a batsman got one point for hitting the ball and zero point for missing it. In “Snakes & Ladder”, a person got one point for winning the game and zero for losing. To the coach’s utter surprise, the distribution of points across all three games was the same. It was as follows:
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The coach has to select a team of eleven in each sport.
Which of the following options is the best way of selecting the Shooting team?
Answer & solution
The coach should select all students in 80-99 ranges.
- B
The coach should select both the students in 90-99 range; others can be from any of the other ranges.
- C
The coach should select at least 6 students between 40 and 49.
- D
The coach should not select students between 40 and 89.
- E
The coach can pick randomly any 11 players from any of the ranges.
In hundred shooting trials, it is highly unlikely that any student would get a high score unless he/she is really good at shooting. The trials give us enough information to choose those who have scored the highest. Therefore, option A is correct.
It is likely that any student who would get a high score when he/she is good at shooting. Thus, the trial give us the information to choose those who have scored the highest.
Hence, option (a).