Civil Service Exam Reviewer · Logical Reasoning · hard
A survey of 130 examinees surveyed found that 67 studied with a review book, 81 used online videos, and 68 joined a study group. Also, 43 do the first two, 34 do the first and third, 47 do the second and third, and 23 do all three. How many do EXACTLY TWO of the three?
- 124
- 78
- 55
- 101
Answer
C. 55
Solution
Exactly two = (43 − 23) + (34 − 23) + (47 − 23) = 55. (Adding the pair counts directly also counts the 23 who do all three, three times.)
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