Question

Given below a question followed by 2 statements. Choose the statement/statements required to answer the question by selecting the right option.
Question: Is X an even number?
Statements:
I. X is the smallest prime number
II. X is less than 5

• A. The question can't be answered even by using both the statements
• B. Statement II alone is sufficient but statement I alone is insufficient
• C. Both statements I and II together are sufficient
• D. Statement I alone is sufficient but statement II alone is insufficient

Answer 1

The Correct Option is D

Analysis of Statements on the Number X 

Step 1: Analyze Statement I

From Statement I: “X is the smallest prime number.” The smallest prime number is 2, which is an even number. So, Statement I alone is sufficient to answer the question.

Step 2: Analyze Statement II

From Statement II: “X is less than 5.” This does not provide enough information to determine if X is even because X could be 1, 2, 3, or 4, and only one of these (2) is even.

Conclusion:

Hence, Statement II alone is insufficient.

Final Answer:

The correct answer is (d) Statement I alone is sufficient but statement II alone is insufficient.