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 :
Only I follows
Only II follows
Both I & III follows
Both II & III follows
Only I follows
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).