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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.

Solution

Correct Option: 4

The correct option is:

Both conclusions I and II follow


Syallogism Venn Diagram Breakdown:

  • Statement Analysis:
  1. "No keyboard is a mouse" means the "Keyboard" circle and "Mouse" circle cannot overlap at all.
  2. "All mouses are computers" puts the entire "Mouse" circle inside the "Computer" circle.
  3. "All computers are laptops" puts the entire "Computer" circle inside the "Laptop" circle.

Evaluating Conclusions:

  • Conclusion I: All mouses are laptops.
  • Status: True
  • Reason: Since all mouses are inside computers, and all computers are inside laptops, the "Mouse" circle is completely nested inside the "Laptop" circle.
  • Conclusion II: All computers can never be keyboards.
  • Status: True
  • Reason: Because "All mouses are computers," a part of the computer circle is permanently occupied by mouses. Since no mouse can ever touch a keyboard, that specific portion of computers can never merge into keyboards. Therefore, it is impossible for all computers to be keyboards.

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