A question is given followed by 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?

Correct Option: The Question can be answered even without using any of the Statements.

Step-by-Step Explanation:

Let's analyze the question to see if any additional statements are necessary to answer it.

Question Analysis:

The question asks: "What is the smallest 1-digit number having exactly 4 distinct factors?"

Let's test the 1-digit positive integers (1 through 9) by listing their factors:

• 1: Factors are {1} (Total = 1 factor)
• 2: Factors are {1, 2} (Total = 2 factors)
• 3: Factors are {1, 3} (Total = 2 factors)
• 4: Factors are {1, 2, 4} (Total = 3 factors)
• 5: Factors are {1, 5} (Total = 2 factors)
• 6: Factors are {1, 2, 3, 6} (Total = 4 distinct factors)
• 7: Factors are {1, 7} (Total = 2 factors)
• 8: Factors are {1, 2, 4, 8} (Total = 4 distinct factors)
• 9: Factors are {1, 3, 9} (Total = 3 factors)

From the above list, the numbers having exactly 4 distinct factors are 6 and 8. Among these, the smallest 1-digit number is 6.

Conclusion:

Since the question asks for a specific, definite mathematical property of 1-digit numbers, we can find the exact answer (which is 6) solely from the information given in the question itself. Neither Statement I nor Statement II is required to answer the question.

Therefore, the question can be answered even without using any of the Statements.