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?
- A. The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
- B. The Question can be answered by using either Statement alone.
- C. The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
- 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.