XAT 2014 — Decision Making Question 7
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).
A group of nine runners will finish the 400 meters race in a certain order. The runners are: Ashok, Benjamin, Chetan, Divya, Eshant, Girish, Himani, and Irravaty. They all finish at different times, and their finishing order is as follow:
- Faneesh finishes before Ashok
- Divya finishes before Benjamin and Eshant
- Irravaty finishes after Chetan
- Girish finishes after Ashok
Which is the best position Girish can finish?
Answer & solution
- A
First
- B
Second
Third
- D
Fourth
- E
Fifth
Denote the runners by the first letter of their name.
According to the given conditions, the runners based on their ranks are:
i) F > A, ii) D > B, D > E, iii) C > I, iv) A > G
Girish finishes after Ashok. But Ashok finishes after Faneesh. So, the BEST position Girish can finish is third.
Hence, option (c).