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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-26

  • question_answer
    The number of sides in two regular polygons are as 5 : 4 and difference between their angles is \[6{}^\circ .\]The number of sides in the polygons are                                                                                                  [SSC (CGL) 2014]

    A) 12 and 15                     

    B) 12 and 13

    C) 20 and 16                     

    D) 15 and 12

    Correct Answer: D

    Solution :

    Let the number of sides of two regular polygons be \[5x\]and \[4x,\]respectively.
    \[\therefore \]Angle of polygons of sides \[5x=(2\times 5x-4)\]
    \[=(10x-4)\]
    and angle of polygons of sides \[4x=(2\times 4x-4)\]
    \[=(8x-4)\]
    Given that difference of their angles is 6.
    Then, according to the question,
    \[(10x-4)-(8x-4)=6\]
    \[\Rightarrow \]   \[2x=6\]\[\Rightarrow \]\[x=3\]
    \[\therefore \]Sides of 1st polygon \[=5x=5\times 3=15\]
    Sides of 2nd polygon \[=4x=4\times 3=12\]


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