Question Details

For the question below, analyze the given set of statements and determine which of the subsequent conclusions logically follow, assuming all statements are true regardless of their alignment with real-world facts.

Statements:
All Laptops are Electronics
No Apples are Laptops
All Apples are Fruits

Conclusions:
I. Some Fruits are not Electronics
II. Some Laptops are Fruits

Options

A

Only II follows

B

Either I or II follows

C

None follows

D

Only I follows

E

Both I and II follow

Show Answer

Correct Answer :

Option C

None follows

Solution :

Correct Answer: The correct option is None follows.


Step-by-step Explanation and Logical Analysis:


Let us analyze the given statements step-by-step using standard syllogism rules and set representations.


Given Statements:

1. All Laptops are Electronics (Universal Affirmative - A type)
2. No Apples are Laptops (Universal Negative - E type)
3. All Apples are Fruits (Universal Affirmative - A type)


Analysis of Conclusion I: "Some Fruits are not Electronics"

From statement (3), we know that all Apples are inside the set of Fruits. From statement (2), no Apples are Laptops, and from statement (1), all Laptops are Electronics. However, the set of Fruits can extend outside or inside Electronics without any restriction defined by the premises.


Consider a possible Venn diagram scenario where all Fruits (including all Apples) are placed inside Electronics while still keeping Apples completely separate from Laptops. In this possible case, All Fruits are Electronics would be true, which makes Some Fruits are not Electronics false.


Since a conclusion in logical deduction must be definitely true in all possible cases, Conclusion I does not logically follow.


Analysis of Conclusion II: "Some Laptops are Fruits"

From statement (2), no Apples are Laptops. From statement (3), all Apples are Fruits. This tells us that Laptops cannot overlap with Apples, but it leaves open the relationship between Laptops and the remaining portion of Fruits.


It is possible for Laptops to have zero overlap with Fruits (i.e. Laptops and Fruits are completely disjoint). Since a state where no Laptops are Fruits is entirely possible, Conclusion II is not definitely true.


Therefore, Conclusion II does not logically follow.


Conclusion:

Neither Conclusion I nor Conclusion II logically follows from the given premises. Hence, the correct choice is None follows.

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