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Venn Diagrams · Question 55 of 65

Question 55

MediumOriginal question

In a town, 65% of households have a piped gas connection, 48% have a solar water heater and 25% have both. What percentage of households have neither?

Options for question 55

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. At least one =65%+48%−25%=88%= 65\% + 48\% - 25\% = 88\%.

  2. Neither =100%−88%=12%= 100\% - 88\% = 12\%.

Worth noting

37% subtracts only the gas-only (40%) and solar-only (23%) households and forgets the 25% who have both. 88% is at least one.

Concept
Neither with percentages
Typical time
70 s
Your time
—
The rule this testsCounting with overlapping sets
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Ten questions from Venn Diagrams, at your own pace.

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