Xavier Aptitude Test 2014 Paper

Directions for (Qs. 33-35): Read the following case-let and answer the question 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 students 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 schoolwinning each of the competitions. Based on in-depth calculations,she realized that her school is quite likely to win district levelcompetition but has low chances of winning the internationalcompetition. She listed down the following probabilities of winsfor different competitions. Prize was highest for internationalcompetition and lowest for district level competition (in that order).

Competition	Probability of win
District	0.95
State	0.6
National	0.1
International	0.05

All the students are studying in the school for last twelveyears. She wanted to select the best team for all fourcompetitions (Ms. Banerjee had no other information to selectstudents).