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    Consider the given statements and decide which of the given assumptions is implicit in the statements.Statements:(1) Some Pens are Inks.(2) Some Inks
    Question

    Consider the given statements and decide which of the given assumptions is implicit in the statements.
    Statements:
    (1) Some Pens are Inks.
    (2) Some Inks are Pencils.
    (3) All Pencils are Pens.

    A.

    Some Inks are only Pencils

    B.

    Some Pens are Pencils

    C.

    All Pencils are Inks

    D.

    All Pens are Pencils

    Correct option is B

    Statements:
    (1) Some Pens are Inks.
    (2) Some Inks are Pencils.
    (3) All Pencils are Pens.
    According to the given statements, Venn diagram will be:
    Checking the Assumptions:
    (a) Some Inks are only Pencils 
    (False)
    Since some Inks are Pencils, but there's no information about exclusivity (only).
    (b) Some Pens are Pencils  (True)
    Since Pencils are a subset of Pens, it is implicitly true that some Pens are Pencils.
    (c) All Pencils are Inks  (False)
    Some Inks are Pencils is given, but not all Pencils are Inks.
    (d) All Pens are Pencils  (False)
    All Pencils are Pens is true, but this does not mean the reverse (i.e., All Pens are Pencils).
    Thus, the correct option (b) Some Pens are Pencils.

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