In a survey, 27 students study Mathematics, 34 study Science, and 12 study both. How many study only Mathematics?
Answer and explanation
Correct answer: 15
The 27 students studying Mathematics include the 12 students who study both Mathematics and Science. To count only Mathematics students, remove the overlap from the Mathematics total: n(Mathematics only) = n(Mathematics) − n(Both) = 27 − 12 = 15. The Science total is not needed for this calculation, although it helps describe the complete Venn diagram.
Frequently asked questions
What is the correct answer to this question?
15
Why is this the correct answer?
The 27 students studying Mathematics include the 12 students who study both Mathematics and Science. To count only Mathematics students, remove the overlap from the Mathematics total: n(Mathematics only) = n(Mathematics) − n(Both) = 27 − 12 = 15. The Science total is not needed for this calculation, although it helps describe the complete Venn diagram.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
