Question

Read the given statements and conclusions carefully, assuming the information given is true. Decide which of the conclusions 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.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Neither conclusion I nor II follows
• D. Both conclusions I and II follow

Answer 1

The Correct Option is D

To ascertain which conclusions are logically derived from the provided assertions, we shall first synthesize and examine these assertions through deductive reasoning:
Assertions:
1. No keyboard is a mouse.
2. All mouses are computers.
3. All computers are laptops.

Analysis of Assertions:

• From Assertion 2: "All mouses are computers," it is established that every mouse is a computer.
• From Assertion 3: "All computers are laptops," it logically follows that every computer is a laptop.
• Synthesizing these, we deduce: "All mouses are laptops," because mouses constitute a subset of computers, which in turn are a subset of laptops.

Inferences:

• I. All mouses are laptops. This inference is a direct consequence of the combined deductions from Assertions 2 and 3.
• II. All computers can never be keyboards. Given that "No keyboard is a mouse" and "All mouses are computers," it follows that a computer cannot be a keyboard, as computers encompass mouses, which keyboards exclude.

Determination:
Both inferences I and II are logically supported by the given assertions, as they align with the derived deductions. Consequently, the applicable selection is “Both inferences I and II are supported.”