Data sufficiency - smallest number with 4 factors
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?
Options
The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
The Question can be answered by using either Statement alone.
The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
The Question can be answered even without using any of the Statements.
Explanation
List all 1-digit numbers and count their distinct factors: 1: {1} (1 factor) 2, 3, 5, 7: Prime numbers (2 factors) 4: {1, 2, 4} (3 factors) 9: {1, 3, 9} (3 factors) 6: {1, 2, 3, 6} (4 factors) 8: {1, 2, 4, 8} (4 factors) The only 1-digit numbers with exactly four distinct factors are 6 and 8. The prompt specifically asks for the "smallest" one, which is indisputably 6. Because this is a static mathematical fact derived directly from the question prompt, neither Statement I nor Statement II is required to find the answer.
Answer: (d).
Question details
Year
2025
Paper
CSAT
Question
Q78
Section
Data Interpretation & Sufficiency
Sub-topic
Data Sufficiency
Type
Data sufficiency
Difficulty
Medium
Source hint
Data sufficiency
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