Selecting Teams for Three Sports
XAT 2017 · DM · Hard · Decision Making
Passage / data set
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:
| Points Scored | Number of Students |
|---|---|
| 0 - 9 | 1 |
| 10 - 19 | 8 |
| 20 - 29 | 5 |
| 30 - 39 | 15 |
| 40 - 49 | 20 |
| 50 - 59 | 20 |
| 60 - 69 | 13 |
| 70 - 79 | 7 |
| 80 - 89 | 9 |
| 90 - 99 | 2 |
The coach has to select a team of eleven in each sport.
Question 1 of 3
Which of the following options is the best way to select the "Snakes & Ladder" team?
- A.
The coach must select all students between 80 and 99.
- B.
The coach must select both the students between 90 and 99.
- C.
The coach must select at least 6 students between 40 and 59.
- D.
The coach must not select students between 0 and 9.
- E.
The coach can ignore the data in the table and randomly pick any 11 players.
Question 2 of 3
Which of the following options is the best way of selecting the Shooting team?
- A.
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.
Question 3 of 3
Which of the following options is the correct statement for picking up the cricket team?
- A.
The coach should never select the player in the range of 0-9 points.
- B.
The coach should never select players from the range of 50-59.
- C.
The coach should never select players from the range of 70-79.
- D.
The coach should definitely select players only from the range of 80-99.
- E.
None of the above.
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