Target Exam

CUET

Subject

General Aptitude Test

Chapter

Logical and Analytical Reasoning

Topic

Syllogism

Question:

Read the given statements and conclusions carefully assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts. Decide which of the given conclusion(s) logically follows from the statements.

Statements:
No keyboard is a mouse.
All mouses are computers.
All computers are laptops.

Conclusions:
I. All mouses are laptops.
II. All computers can never be keyboards.

Options:

Only conclusion I follows

Only conclusion II follows

Neither conclusion I nor II follows

Both conclusions I and II follow

Correct Answer:

Both conclusions I and II follow

Explanation:

The correct answer is Option (4) → Both conclusions I and II follow

Conclusions:
I. All mouses are laptops. (Follows)

Since all mouses are computers (Statement 2), and all computers are laptops (Statement 3), it follows logically that all mouses are laptops. This conclusion is true.


II. All computers can never be keyboards. ( Follows)

 

  • From Statement 2, we know that all mouses are computers.
  • From Statement 1, no keyboard is a mouse, so there is no overlap between keyboards and mouses.
  • Since all computers include mouses (Statement 3), and no mouses can be keyboards, it logically follows that all computers can never be keyboards.
    This conclusion is also true.