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. In each of the questions below are given three statements followed by four conclusions numbered I, II and III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of given conclusions logically follows from the given statements disregarding commonly known facts.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. All switches are wires (A) + No wire is a board (E) ⇒ No switch is a board(O). Hence, conclusion IV will follow.
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