A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Mental Ability & Logical Reasoning ·Previously asked in UPSC Civil Services Examination 2025

View the full solved paper: GS Paper II

Question

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. A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
  2. B. The Question can be answered by using either Statement alone.
  3. C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
  4. D. The Question can be answered even without using any of the Statements. (Correct answer)

Correct Answer

Option D — The Question can be answered even without using any of the Statements.

Detailed Solution & Explanation

The correct answer is The Question can be answered even without using any of the Statements..

Key Points

  • The smallest 1-digit number with exactly 4 factors: 1-digit numbers are 1-9. Factors of 6: 1,2,3,6 → 4 factors.
  • Factors of 8: 1,2,4,8 → 4 factors.
  • Smallest is 6. This can be determined WITHOUT any statement.
  • Answer: The question can be answered even without using any of the Statements.