Probability · Question 25 · Medium

A number is chosen at random from 1 to 100. What is the probability that it is a perfect square or a perfect cube?

  1. 1/10
  2. 7/50
  3. 13/100
  4. 3/25
Answer and explanation

Answer: D. 3/25

Explanation: Squares: 10 (1 to 100); cubes: 4 (1, 8, 27, 64); both: 1 and 64. So 10 + 4 − 2 = 12 numbers. Probability = 12/100 = 3/25.

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