Question

In the following question below are given some statements followed by some conclusions. 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 conclusion logically follows the given statements? Statements:
1. No mirrors are glass
2. No reflective are mirrors
Conclusions:
I. All glass are reflective
II. All reflective are glass

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Neither conclusion I nor II follows
• D. Both conclusions follow

Hint:

In syllogisms, only accept conclusions directly supported by the statements.
Be cautious about assuming inclusion from exclusion statements.

Answer 1

The Correct Option is C

Step 1: Analyze the statements
- Statement 1 says no mirrors are glass, meaning mirrors and glass are completely separate sets.
- Statement 2 says no reflective objects are mirrors, meaning reflective objects and mirrors do not overlap.
Step 2: Check conclusions
- Conclusion I: "All glass are reflective"
This does not necessarily follow because the statements do not state anything about all glass being reflective.
- Conclusion II: "All reflective are glass"
This also does not follow because the statements do not provide information about the entire set of reflective objects.
Step 3: Logical reasoning
The statements only specify exclusions (no mirrors are glass, no reflective are mirrors) but do not affirm inclusions needed for either conclusion.
Hence, neither conclusion I nor II logically follows.