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UPSC PYQPrelims 2025

Civil Services Examination · Question 79

Let x be a real number between 0 and 1. Which of the following statements is/are correct? I. x² > x³. II. x > √x. Select the correct answer using the code given below:

  1. I only
  2. II only
  3. Both I and II
  4. Neither I nor II
Show answer & explanation

Answer: (A) I only

Explanation

For 0 < x < 1, higher powers are smaller, so x² > x³, and √x > x, so II is false. (Answer as per the official UPSC answer key.)