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    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.

    A All follow Correct Answer Incorrect Answer
    B Only III and IV follow Correct Answer Incorrect Answer
    C Only I and II follow Correct Answer Incorrect Answer
    D Only I, II and IV follow Correct Answer Incorrect Answer

    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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