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      Question

      In a small town, 50% of the people like fishing, 70%

      like hiking, and 30% like both. If the remaining 21 people don't like either activity, how many people are in the town?
      A 215 Correct Answer Incorrect Answer
      B 175 Correct Answer Incorrect Answer
      C 165 Correct Answer Incorrect Answer
      D 210 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the total number of residents be 100x Residents who enjoy both swimming and running = 0.3 × 100x = 30x Residents who enjoy only swimming = 50x - 30x = 20x Residents who enjoy only running = 70x - 30x = 40x Residents who enjoy at least one activity =20x + 40x +30x = 90x ATQ,

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