Set Theory

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #51

In any exam, 70% of the candidates passed in Mathematics, 68% passed in Physics and 60% passed in both subjects. If 44 candidates fail in both the subjects, determine the total number of candidates.
Ans: 200
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Question No: #52

Out of 1000 students in a college, 540 play football, 465 play cricket and 370 play volleyball. Of the total students, 325 play football and cricket, 260 play football and volleyball, 235 play cricket and volleyball and 125 play each game. How many students (i) do not play any game (ii) play only one game and (iii) play exactly two games?
Ans: (i) 320, (ii) 110, (iii) 445
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Question No: #53

There are several students in a group and everyone in the group can speak at least one of Bengali, Hindi and English. 65 students can speak Bengali, 54 can speak Hindi and 37 can speak English. 31 can speak both Bengali and Hindi, 17 can speak both Hindi and English and 18 can speak both Bengali and English. Determine the largest and smallest number of students in the group.
Ans: 107, 90
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