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Subjects
Class 10MathematicsSetsVenn DiagramsEasyLevel 15

In an examination of 100 students, 62 passed Mathematics, 49 passed Science, and 35 passed both subjects. How many students passed Science only?

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Answer and explanation

Correct answer: 14

Let S represent the students who passed Science and let M ∩ S represent those who passed both subjects. The students counted in Science only are obtained by removing the students who passed both from the total Science group: n(S only) = n(S) − n(M ∩ S) = 49 − 35 = 14. Therefore, option A is correct.

Tags

setsvenn-diagramscardinalityexam-word-problemVenn DiagramsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

14

Why is this the correct answer?

Let S represent the students who passed Science and let M ∩ S represent those who passed both subjects. The students counted in Science only are obtained by removing the students who passed both from the total Science group: n(S only) = n(S) − n(M ∩ S) = 49 − 35 = 14. Therefore, option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.

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