Selection & Distribution — XAT Previous-Year Questions
4 previous-year questions on Selection & Distribution from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.
Selection & Distribution · XAT PYQs
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).
âââââââ
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 three members should form the team for the International competition?
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).
âââââââ
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?
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).
âââââââ
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).
Ms. Banerjee has to select the team for national competition after she has selected the team for international competition. A student selected for international competition cannot be a part of national competition. Which is the best team for the national competition?
Answer the following question based on the information given below.
The following pie chart shows the percentage distribution of runs scored by a batsman in a test innings.
âââââââ
Lionel and Ronaldo had a discussion on the ages of Jose’s sons. Ronaldo made following statements about Jose’s sons:
- Jose has three sons.
- The sum of the ages of Jose’s sons is 13.
- The product of the ages of the sons is the same as the age of Lionel.
- Jose’s eldest son, Zizou weighs 32 kilos.
- The sum of the ages of the younger sons of Jose is 4.
- Jose has fathered a twin.
- Jose is not the father of a triplet.
- The LCM of the ages of Jose’s sons is more than the sum of their ages.
Which of the following combination gives information sufficient to determine the ages of Jose’s sons?