Question

Read the statements carefully. Statement I: All researchers are analysts.
Statement II: Some analysts are economists.
Statement III: No economist is a lawyer. Which of the following conclusions definitely follows?

• A. No researcher is a lawyer.
• B. Some researchers are economists.
• C. Some analysts are not lawyers.
• D. All analysts are economists.

Hint:

In logical reasoning, focus only on what is definitely true. Avoid conclusions based on assumptions or possibilities not explicitly supported by the statements.

Answer 1

The Correct Option is C

Concept: Logical reasoning questions in CUET often test the ability to draw conclusions strictly from the information provided. Candidates must avoid making assumptions beyond the statements.

Step 1: Represent the statements logically. Statement I: \[ \text{Researchers} \subseteq \text{Analysts} \] Statement II: \[ \text{Some Analysts are Economists} \] Statement III: \[ \text{Economists} \cap \text{Lawyers} = \varnothing \]

Step 2: Evaluate Conclusion (A). We only know that all researchers are analysts. We do not know whether researchers are economists. Therefore nothing definite can be concluded about researchers and lawyers. Hence option (A) does not follow.

Step 3: Evaluate Conclusion (B). The statement says: \[ \text{Some Analysts are Economists} \] but does not say that these analysts are researchers. Hence option (B) does not necessarily follow.

Step 4: Evaluate Conclusion (C). Some analysts are economists. No economist is a lawyer. Therefore those analysts who are economists cannot be lawyers. Hence: \[ \text{Some Analysts are not Lawyers} \] must be true. Therefore option (C) follows.

Step 5: Evaluate Conclusion (D). The statement only says: \[ \text{Some Analysts are Economists} \] It does not imply: \[ \text{All Analysts are Economists} \] Hence option (D) is incorrect.

Step 6: Final conclusion. The only conclusion that definitely follows is: \[ \boxed{\text{Some Analysts are not Lawyers}} \] Therefore, \[ \boxed{\text{Option (C)}} \]