Each question contains several statements followed by two conclusions numbered I and II. You must assume the statements are true even if they contradict everyday knowledge. Read all the conclusions and decide which of them logically follows from the statements.
Statements:
Some Laptops are Desks.
Some Tablets are Desks.
All Laptops are Devices.
Conclusions:
I: Some Laptops are Tablets.
II: No Laptop is Tablet.
Correct Answer :
If either conclusion I or II follows.
Solution :
Correct Option: If either conclusion I or II follows.
Step-by-step Explanation:
Let us analyze the given statements and check the validity of the conclusions using basic principles of syllogism and logic.
Given Statements:
1. Some Laptops are Desks.
2. Some Tablets are Desks.
3. All Laptops are Devices.
Analysis of Conclusions:
Conclusion I: Some Laptops are Tablets.
From statements 1 and 2, both Laptops and Tablets share a partial relation with Desks. However, there is no direct or definite logical connection given between Laptops and Tablets. Therefore, Conclusion I does not definitely follow as a universal truth.
Conclusion II: No Laptop is Tablet.
Similarly, since there is no definitive relation or negative constraint given between Laptops and Tablets, Conclusion II also does not definitely follow as a standalone truth.
Checking for Either/Or Complementary Pair:
Notice the conditions for an "either-or" pair between two conclusions:
1. Both conclusions must have the same subject and predicate (here, "Laptops" and "Tablets").
2. Both individual conclusions do not definitely follow on their own.
3. One conclusion is a particular positive statement ("Some Laptops are Tablets") and the other is a universal negative statement ("No Laptop is Tablet"), forming a complementary pair.
Since either Laptops and Tablets will share at least one common element or they will share no common elements at all, exactly one of the two statements must be true in any possible scenario.
Hence, either conclusion I or conclusion II follows.
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