XAT 2014 — Decision Making Question 2
Read the following case – let and answer the questions that follow.
Ms. Banerjee, class teacher for 12th standard, wants to send teams (based on past performance) of three students each to district, state, national, and international competition in mathematics. Till now, every student of the class has appeared in 100 school level tests. The students had following distribution of marks in the tests, in terms of “average” and “number of times a student scored cent per cent marks”.
Ms. Banerjee has carefully studied chances of her school winning each of the competitions. Based on in-depth calculations, she realized that her school is quite likely to win district level competition but has low chances of winning the international competition. She listed down the following probabilities of wins for different competitions. Prize was highest for international competition and lowest for district level competition (in that order).
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All the students are studying in the school for last twelve years. She wanted to select the best team for all four competitions (Ms. Banerjee had no other information to select students).
Which of the following members should constitute the team for the district level competition?
Answer & solution
- A
4, 11, 14
- B
1, 4, 11
- C
4, 5, 6
4, 11, 13
- E
Any team can win the competition
The probability of winning in the district level competition is high (95%).
So Ms. Banerjee needs to select students who have high averages.
The number of times the students score cent percent is not important.
Students 4 & 11 have high an average of 70 and they score cent percent just once.
So option (1) is eliminated as it has student 14 who has scored cent percent 20 times.
Similarly, option (3) is also eliminated. In options (2) and (4), we select option (4) as the correct option because both students 1 & 13 have the same average but student 13 scores cent percent just twice.
Hence, option (d).