EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Venn Diagrams · Question 46 of 65

Question 46

EasyOriginal question

In a survey, 70% of the people like mangoes, 50% like litchis and 10% like neither fruit. What percentage like both?

Options for question 46

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. People who like at least one fruit =100%−10%=90%= 100\% - 10\% = 90\%.

  2. Both =70%+50%−90%=30%= 70\% + 50\% - 90\% = 30\%.

Worth noting

20% uses 100% as the union and ignores the 10% who like neither. 90% is the union itself.

Concept
Inclusion–exclusion with percentages
Typical time
40 s
Your time
—
The rule this testsCounting with overlapping sets
Practise this chapter →

Ten questions from Venn Diagrams, at your own pace.

Practise this chapter →

Ten questions from Venn Diagrams, at your own pace.

Practise this chapterAll 65 questions in Venn DiagramsRevise the notes for Venn Diagrams