Engineering Board Exam Reviewer · Venn Diagrams · medium
Of 60 students, 30 take Algebra, 28 take Geometry, and 25 take Trigonometry. Also, 12 take Algebra and Geometry, 10 take Geometry and Trigonometry, 8 take Algebra and Trigonometry, and 5 take all three. How many take exactly one of the three subjects?
- 58
- 43
- 38
- 45
Answer
C. 38
Solution
Only Algebra: 30-12-8+5=15. Only Geometry: 28-12-10+5=11. Only Trigonometry: 25-10-8+5=12. Total =15+11+12=38.
More Venn Diagrams questions
- Of 120 students, 70 speak English, 50 speak Filipino, and 20 speak neither. How many speak both languages?
- In a survey of 100 people, 50 like A, 40 like B, and 30 like C. Also, 20 like A and B, 15 like B and C, 10 like A and C, and 5 like all…
- Of 80 students, 45 play basketball, 38 play volleyball, and 15 play both. How many play neither sport?
- In a class of 50 students, 30 take Math, 25 take Physics, and 10 take both. How many take at least one of the two subjects?
- In a class of 40 students, 27 like Algebra and 25 like Geometry, and every student likes at least one of the two subjects. How many like…
- In a survey of 150 people, 90 read magazine A, 70 read magazine B, and 30 read both. How many read neither?
- Of 100 tourists, 60 visited Paris, 45 visited Rome, and 35 visited both. How many visited neither?
- In a group of 60 students, 25 take French, 30 take Spanish, and 10 take both. How many take neither?
- In a survey, 80% of people like coffee, 70% like tea, and 60% like both. What percentage like neither?
- In a survey of 150 students, every student studies Math or Physics (or both). If 100 study Math and 90 study Physics, how many study both…