Civil Service Exam Reviewer · Logical Reasoning · hard

A survey of 127 examinees surveyed found that 53 studied with a review book, 66 used online videos, and 63 joined a study group. Also, 39 do the first two, 25 do the first and third, 37 do the second and third, and 21 do all three. How many do EXACTLY TWO of the three?

  1. 101
  2. 59
  3. 80
  4. 38

Answer

D. 38

Solution

Exactly two = (39 − 21) + (25 − 21) + (37 − 21) = 38. (Adding the pair counts directly also counts the 21 who do all three, three times.)

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