Civil Services Examination · Question 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?
Show answer & explanation
Answer: (C) Both I and II
Explanation
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.)