CAT · Quantitative Ability

Powers and roots

19 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 19 questions

  1. What is the value of ?
  2. What is the value of ?
  3. What is the value of ?
  4. What is the value of ?
  5. What is the value of ?
  6. What is the value of ?
  7. What is the value of ?
  8. What is the value of ?
  9. What is the value of ?
  10. What is the value of ?
  11. How many trailing zeros does the number have?
  12. What is the value of ?
  13. How many ordered pairs of positive integers with satisfy ?
  14. What is the value of ?
  15. What is the value of ?
  16. What is the value of ?
  17. Which of the following numbers is the greatest: 2^60, 3^48, 4^36, or 5^24?
  18. Evaluate: [1 / (sqrt(9) - sqrt(8))] - [1 / (sqrt(8) - sqrt(7))] + [1 / (sqrt(7) - sqrt(6))] - [1 / (sqrt(6) - sqrt(5))] + [1 / (sqrt(5) - sqrt(4))].
  19. If 2^(x - 1) + 2^(x + 1) = 320, find the value of x.

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