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Venn Diagrams · Question 47 of 65

Question 47

EasyOriginal question

In a residential colony, 45 people own a bicycle, 30 own a scooter and 12 own both. How many people own exactly one of the two?

Options for question 47

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Bicycle only =45−12=33= 45 - 12 = 33; scooter only =30−12=18= 30 - 12 = 18.

  2. Exactly one =33+18=51= 33 + 18 = 51.

Worth noting

39 takes the 12 away twice (63−12−12)(63 - 12 - 12); the owners of both are removed only once from the 63 who own at least one. 33 counts bicycle-only owners alone, and 12 is the number who own both.

Concept
Exactly one of two sets
Typical time
40 s
Your time
—
The rule this testsCounting with overlapping sets
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