Forest ServicesQ58. 58. 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?
Detailed Solution
The question asks for the smallest 1-digit number having exactly 4 distinct factors. Let's list 1-digit numbers and their factors: * 1: (1) - 1 factor * 2: (1, 2) - 2 factors * 3: (1, 3) - 2 factors * 4: (1, 2, 4) - 3 factors * 5: (1, 5) - 2 factors * 6: (1, 2, 3, 6) - 4 factors * 7: (1, 7) - 2 factors * 8: (1, 2, 4, 8) - 4 factors * 9: (1, 3, 9) - 3 factors From this list, the 1-digit numbers with exactly 4 distinct factors are 6 and 8.
The smallest among these is 6. We were able to determine this answer directly from the question itself, without needing any additional information from Statement I or Statement II. Therefore, the question can be answered even without using any of the statements.
This is a data sufficiency question where the core question is solvable independently.
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