In this question, three statements are given, followed by three conclusions…
2024
In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All fans are brown.
Some brown are chairs.
Some chairs are plastic.
Conclusions:
I. Some brown are fans.
II. Some chairs are brown.
III. No chair is plastic.
Answer: C. Only conclusions I and II follow. — Logical Analysis Statements: All fans are brown. (All F are B) Some brown are chairs. (Some B are C) Some chairs are plastic. (Some C are P) Evaluating…
- A.
Only conclusions II and III follow.
- B.
None of the conclusions follows.
- C.
Only conclusions I and II follow.
- D.
Only conclusion III follows.
Attempted by 104 students.
Show answer & explanation
Correct answer: C
Logical Analysis
Statements:
All fans are brown. (All F are B)
Some brown are chairs. (Some B are C)
Some chairs are plastic. (Some C are P)
Evaluating Conclusions:
Conclusion I: Some brown are fans.
If "All fans are brown," it logically follows that at least "Some brown are fans." This is a valid conversion of the universal affirmative. Conclusion I follows.
Conclusion II: Some chairs are brown.
The statement "Some brown are chairs" can be converted directly to "Some chairs are brown" without losing truth value. Conclusion II follows.
Conclusion III: No chair is plastic.
The statement "Some chairs are plastic" directly contradicts the assertion that "No chair is plastic." Therefore, this conclusion cannot follow.