Question

Statements: Some planets are earth
Only a few earth is sun
Only sun is galaxy
No sun is milkyway Conclusions: I) Some earth is not milkyway
II) Some galaxy is planet is a possibility

• A. Only conclusion I is followed
• B. Both conclusions I and II followed
• C. Neither conclusion I and II is followed
• D. Only conclusion II follows

Hint:

For “only” statements, reverse the relation carefully — “Only Sun is Galaxy” means Galaxy $\subseteq$ Sun.

Answer 1

The Correct Option is B

Step 1: Understanding the statements
1. Some planets are earth — intersection between Planets and Earth exists.
2. Only a few Earth is Sun — part of Earth belongs to Sun, rest not.
3. Only Sun is Galaxy — Galaxy set is a subset of Sun (Sun is the only one that can be Galaxy).
4. No Sun is Milkyway — Sun and Milkyway are disjoint sets.
Step 2: Checking Conclusion I — Some Earth is not Milkyway
- Since part of Earth belongs to Sun, and no Sun is Milkyway, that part of Earth is definitely not Milkyway.
- This satisfies “Some Earth is not Milkyway.”
- Therefore, Conclusion I follows.
Step 3: Checking Conclusion II — Some Galaxy is Planet is a possibility
- Galaxy is entirely within Sun (from statement 3).
- There is no restriction that prevents Galaxy from overlapping with Planets.
- Therefore, it is possible for some Galaxy to be Planet.
- Hence, Conclusion II follows.
Step 4: Final verdict Both conclusions follow from the given statements. \[ \boxed{\text{Answer: (B) Both conclusions I and II followed}} \]