In the following question, some statements are given followed by some…
2021
In the following question, some statements are given followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. No X are Y. II. Some Z are Y. Conclusions: I. All Z are X. II. No Y is X.
- A.
Only conclusion I follows
- B.
Only conclusion II follows
- C.
Both conclusions I and II follow
- D.
Neither conclusion follows
Attempted by 82 students.
Show answer & explanation
Correct answer: B
Step 1: Analyze Statement I ("No X are Y"). This means the sets for X and Y are completely disjoint (their circles do not touch).
Step 2: Analyze Statement II ("Some Z are Y"). This means the circle for Z overlaps with the circle for Y.
Step 3: Check Conclusion I ("All Z are X"). Since some parts of Z are inside Y, and Y is completely isolated from X, it is impossible for all Z to be inside X. Thus, this is false.
Step 4: Check Conclusion II ("No Y is X"). If no X is Y (Statement I), then naturally no Y is X. This is definitively true.
Final Answer: Option B