UPSC PYQPrelims 2025

Civil Services Examination · प्रश्न 64

Consider the following statements: I. There exists a natural number which when increased by 50% can have its number of factors unchanged. II. There exists a natural number which when increased by 150% can have its number of factors unchanged. Which of the statements given above is/are correct?

  1. I only
  2. II only
  3. Both I and II
  4. Neither I nor II
उत्तर देखें और व्याख्या

उत्तर: (C) Both I and II

व्याख्या

2 increased by 50% becomes 3, and 2 increased by 150% becomes 5; all are primes with 2 factors each. (Answer as per the official UPSC answer key.)