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Set Theory based Questions and Solutions

Directions for Questions 1 to 4 Refer to the data below and answer the questions that follow. In the CBSE Board Exams last year, 53% passed in Biology, 61% passed in English, 60% in Social Studies, 24% in Biology & English, 35% in English & Social Studies, 27% in Biology and Social Studies and 5% in none. 1 Percentage of passes in all subjects is A) Nil C) 12 B) 7 D) 10 2 If the number of students in the class is 200, how many passed in only one subject? A) 48 C) 46 B) more than 50 D) less than 40 3 If the number of students in the class is 300, what will be the % change in the number of passes in only two subjects , if the original number of students is 200? A) more than 50% C) less than 50% B) 50. D) None of these 4 What is the ratio of percentage of passes in Biology and Social Studies but not English in relation to the percentage of passes in Social Studies and English but not Biology? A) 5:7 C) 7:5 B) 4:5 D) None of these Directions for Questions 36 and 37:
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