UPSC PYQPrelims 2025

Civil Services Examination · Question 68

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: What is the smallest 1-digit number having exactly 4 distinct factors? Statement I: 2 is one of the factors. Statement II: 3 is one of the factors. Which one of the following is correct in respect of the above Question and the Statements?

  1. The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone.
  2. The Question can be answered by using either Statement alone.
  3. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
  4. The Question can be answered even without using any of the Statements.
Show answer & explanation

Answer: (D) The Question can be answered even without using any of the Statements.

Explanation

6 (factors 1, 2, 3, 6) is the smallest such number, found without the statements. (Answer as per the official UPSC answer key.)