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Question

Logical Reasoning Question on Syllogism

All gadgets are machines. Some gadgets are tools. All machines are useful.
Examine the following statements:
I. Some tools are useful.
II. All that is useful are machines.
III. All tools are gadgets.
Select the correct option :

A

Only I follows

B

Only II follows

C

Both I & III follows

D

Both II & III follows

Answer

Only I follows

Explanation

Solution

I. Some tools are useful: This follows because all gadgets are machines, and some gadgets are tools. Since all machines are useful, some tools are useful.
II. All that is useful are machines: This does not follow because being useful does not necessarily mean it’s a machine.
III. All tools are gadgets: This does not follow as the relationship between tools and gadgets is only partial (some gadgets are tools).
Thus, the correct answer is Option (A).