Question
Statements: Only wires are switches. No
wire is a board. Only nuts are boards. Conclusions: I. All switches are wires. II. All boards are nuts. III. All nuts are boards. IV. No switch is a board.Solution
Only wires are switches can be written in two ways = Some wires are switches (I) and All switches are wires (A). Hence, conclusion I will follows. Only nuts are boards ⇒ All boards are nuts. Hence, conclusion II will follows. Only nuts are boards = Some nuts are boards (I) and All boards are nuts (A). Hence, conclusion II will follow but conclusion III will not follow. Only wires are switches⇒ All switches are wires & no wire is a board. Hence, conclusion IV will follows. Aletrnate Method: Only wires are switches ⇒ All switches are wires (A). Hence, conclusion I will follows. Only nuts are boards ⇒ All boards are nuts. Hence, conclusion II will follows. All boards are nuts (A) ⇒ Hence, conclusion II will follow but conclusion III will not follow. Only wires are switches⇒ All switches are wires & no wire is a board. Hence, conclusion IV will follows.
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