JEE Main & Advanced Mathematics Sets Question Bank Mock Test - Sets

  • question_answer
    Let \[{{F}_{1}}\]be the set of parallelograms, \[{{F}_{2}}\] the set of rectangles, \[{{F}_{3}}\] be the set of rhombuses, \[{{F}_{4}}\] be the set of squares and \[{{F}_{5}}\] be the set of trapeziums in a plane. Then \[{{F}_{1}}\] may be equal to

    A) \[{{F}_{2}}\cap {{F}_{3}}\]     

    B) \[{{F}_{3}}\cap {{F}_{4}}\]

    C) \[{{F}_{2}}\cup {{F}_{5}}\]

    D) \[{{F}_{2}}\cup {{F}_{3}}\cup {{F}_{4}}\cup {{F}_{1}}\]

    Correct Answer: D

    Solution :

    [d] Every rectangle, rhombus, square in a plane is a parallelogram but every trapezium is not a parallelogram. \[\therefore \,{{F}_{1}}={{F}_{2}}\cup {{F}_{3}}\cup {{F}_{4}}\cup {{F}_{1}}\]


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