Each of the following questions presents a series of statements followed by two conclusions designated as I and II. You must accept the statements as true, even if they depart from established facts. Evaluate the conclusions and decide which one logically follows from the statements.
Statements:
All Tablet are Device.
All Device are Computer.
Some Laptop are Computer.
Conclusions:
I: All Tablet are Laptop
II: Some Tablet are not Laptop
Correct Answer :
If either conclusion I or II follows.
Solution :
Correct Answer: If either conclusion I or II follows.
Step-by-step Explanation:
Let us analyze the given statements and conclusions carefully using standard logical reasoning principles and Venn diagram logic.
Given Statements:
1. All Tablet are Device.
2. All Device are Computer.
3. Some Laptop are Computer.
Analyzing the Conclusions:
Conclusion I: All Tablet are Laptop
From the given statements, we know that all Tablets are contained within Devices, and all Devices are contained within Computers. We also know that some Laptops overlap with Computers. However, there is no direct or mandatory relation given between Tablets and Laptops. Therefore, Conclusion I ("All Tablet are Laptop") is not definite and does not strictly follow as a certainty.
Conclusion II: Some Tablet are not Laptop
Similarly, since no negative relationship between Tablet and Laptop is explicitly stated, Conclusion II ("Some Tablet are not Laptop") is also not definite and does not strictly follow as a certainty.
Complementary Pair (Either-Or Case):
Now, let us examine both conclusions together to check for an "Either-Or" condition:
1. Both conclusions share the exact same subjects and predicates (Tablet and Laptop).
2. Neither conclusion is individually definite (both are doubtful/possible states).
3. Conclusion I is a universal positive statement (A-type: "All A are B"), and Conclusion II is a particular negative statement (O-type: "Some A are not B").
In classical formal logic, an "All A are B" statement and a "Some A are not B" statement form a complementary pair. One of these two possibilities must logically be true: either every single Tablet is a Laptop, or there exists at least one Tablet that is not a Laptop. They cannot both be false at the same time, nor can they both be true at the same time.
Therefore, either conclusion I or conclusion II must follow.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.