Question

    In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

    Statements: All pearls are diamonds.

    All diamonds are gold

    All gold are silvers.

    Conclusions: I. All pearls are silvers.

    II. No diamond is a gold.

    III. Some silvers are diamonds.

    A Only I follow Correct Answer Incorrect Answer
    B Only II and III follow Correct Answer Incorrect Answer
    C Only I and III follow Correct Answer Incorrect Answer
    D All I, II and III follow Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    All pearls are diamonds (A) + All diamonds are gold (A) ⇒ All pearls are gold (A) + All gold are silvers(A) ⇒ All pearls are silvers(A).. Hence conclusion I follows. All diamonds are gold (A) ⇒ I.I ⇒ Some diamonds are gold (I). Hence conclusion II does not follow. All diamonds are gold (A) + All gold are silvers(A) ⇒ All diamonds are silver(A) ⇒ Conversion ⇒ Some silvers are diamonds. Hence conclusion III follows. Alternate Method:

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