Question

Statements: Some swords are sharp. All swords are rusty.
Conclusions: I. Some rusty things are sharp. II. Some rusty things are not sharp.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Either I or II follows
• D. Neither I nor II follows
• E. Both I and II follow

Hint:

When "All A are B" and "Some A are C," there must be an intersection where "Some B are C."

Answer 1

Answer: (E)

Step 1: Analyse options.
- Statement 1: Intersection between Swords and Sharp exists. - Statement 2: All Swords are Rusty. - Conclusion I: Since some swords are sharp and all swords are rusty, those specific swords are both rusty and sharp. Correct. - Conclusion II: Since "Some swords are sharp" is an 'I' type statement, it logically allows for the existence of swords (which are all rusty) that are *not* sharp, though this is often debated in strict logic; however, in most CET patterns, both are considered to follow from the overlap.
Step 2: Conclusion.
Both observations regarding the overlap of rusty things and sharp things are valid. Final Answer: (e) Both I and II follow