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    Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varian
    Question

    Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
    Statements:
    I. All rectangles are trapezium.
    II. All trapeziums are parallelogram.
    III. No parallelogram is circle.
    Conclusions:
    I) No rectangle is circle.
    II) No trapezium is circle.
    III) All rectangles are parallelogram.

    A.

    ​​Only conclusion I and III

    B.

    All conclusion I, II and III

    C.

    Only conclusion II and III

    D.

    Only conclusion I and II

    Correct option is B

    Statements:
    I. All rectangles are trapezium.
    II. All trapeziums are parallelogram.
    III. No parallelogram is circle.
    From the given statements Venn diagram will be: 
    Conclusions:
    I) No rectangle is circle. (Follows, since rectangles are a subset of parallelograms, they cannot be circles either.)
    II) No trapezium is circle. (Follows, So trapeziums, being a kind of parallelogram, cannot be circles)​
    III) All rectangles are parallelogram. (Follows, Trapezium ⊆ Parallelogram So by transitive logic: Rectangle ⊆ Parallelogram )​
    All conclusion I, II and III 

    Thus, correct option is (b).

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