Question Details

Directions: In the question below, some statements are given followed by two conclusions. Assume the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and decide which of the given conclusions logically follow(s) from the statements.

Statements:
85% laptops are computers.
All computers are devices.
Only a few devices are screens.

Conclusions:
I. Some devices are not screens
II. All laptops can be devices

Options

A

If only conclusion I follows.

B

If only conclusion II follows.

C

If either conclusion I or II follows.

D

If neither conclusion I nor II follows.

E

If both conclusions I and II follow.

Show Answer

Correct Answer :

Option E

If both conclusions I and II follow.

Solution :

Correct Answer: If both conclusions I and II follow.

Step-by-step Explanation:

1. Analysis of the Given Statements:
- Statement 1: "85% laptops are computers."
This statement indicates a particular affirmative relationship (Some laptops are computers), meaning at least 85% of the laptop set lies within the computer set.
- Statement 2: "All computers are devices."
This is a universal affirmative statement, meaning the entire set of computers is contained inside the set of devices.
- Statement 3: "Only a few devices are screens."
In syllogism logic, the phrase "Only a few A are B" carries a definite dual implication: it means both "Some A are B" AND "Some A are not B".

2. Evaluating Conclusion I: "Some devices are not screens"
- From Statement 3 ("Only a few devices are screens"), by definition, it directly follows that some devices are screens and some devices are not screens.
- Hence, Conclusion I logically follows.

3. Evaluating Conclusion II: "All laptops can be devices"
- Since 85% of laptops are computers and all computers are devices, at least 85% of laptops are definitely devices.
- There is no statement restricting the remaining 15% of laptops from being devices as well.
- Therefore, the possibility that all laptops are devices is completely valid.
- Hence, Conclusion II logically follows.

Conclusion:
Since both Conclusion I and Conclusion II logically follow from the statements, the correct option is If both conclusions I and II follow.

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