Question

    In each question three statements followed by three conclusions numbered I, II and III have been given. You have to take the 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 given statements disregarding commonly known facts. 

    Statements:  All letters are digits.      

                  No number is a digits.                     Some words are letters. Conclusions:       I. Some words are not numbers.                             II. All letters being numbers is a possibility.                            III. All digits being words is a possibility. 
    A Only I follows Correct Answer Incorrect Answer
    B Only II and III follow Correct Answer Incorrect Answer
    C All I, II and III follow Correct Answer Incorrect Answer
    D None follows Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Some words are letters (I) + All letters are digits (A) ⇒ Some words are digits (I) + No number is a digits (E) ⇒ conversion ⇒ No digits is a number (E) ⇒ Some words are not numbers(O*). Hence conclusion I follows.  All letters are digits (A) + [No number is a digits (E)] ⇒ conversion ⇒No digits is a number (E) ⇒ No letter is a number(E). Hence conclusion II does not follow.  All letters are digits(A) ⇒ Probable conclusion ⇒ All digits may be words(A). Hence, conclusion III follows. 

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