Directions: In the question below are given three statements followed...
The least possible Venn Diagram of the statements is as follows:-
Conclusions:
I. Some Computers are not Laptops ? False (If all Laptops are Computers then some Computers are not Laptops are possible but not definite).
II. Some Mobiles are not Laptops ? False (If all Laptops are Mobiles then some Mobiles are not Laptops are possible but not definite).
Hence, Neither I nor II follows.
TIPS TO REMEMBER:
1. Some X are Y means some part of the X circle is within the Y circle.
2. No X is Y means circle X and Y are not intersecting at all.
3. All X is Y means the whole circle X lies within the Y circle.
4. If there is no exact conclusion for the given statements then the possibility case arises.
5. If Only X is Y means all Y is X.
6. Only a few:- Some + Some not.
Directions: In the question below are given three statements followed...
Understanding the Statements
- Statement 1: All Laptops are Computers.
- Statement 2: All Computers are Mobiles.
- Statement 3: No Mobile is a Battery.
Analyzing the Conclusions
- Conclusion I: Some Computers are not Laptops.
- Conclusion II: Some Mobiles are not Laptops.
Logical Analysis of Conclusions
- For Conclusion I:
- Since all Laptops are Computers, it implies that there could be Computers that are not Laptops. However, the statement does not confirm or deny the existence of Computers that are not Laptops. Therefore, this conclusion does not logically follow from the statements.
- For Conclusion II:
- All Computers are Mobiles, but it does not imply that all Mobiles are Laptops. In fact, since no Mobile is a Battery, it suggests that Mobiles can exist outside of Laptops. Thus, this conclusion cannot be definitively established from the given statements.
Final Evaluation
- Conclusion I does not necessarily follow because we cannot definitively state that some Computers are not Laptops based on the provided statements.
- Conclusion II also does not logically follow because the relationship between Mobiles and Laptops is not established.
Correct Answer
- Therefore, the correct answer is option D: Neither I nor II follows.