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SSC Quantitative Aptitude Mensuration Question Bank Mensuration-I (II)

  • question_answer
    If a regular polygon has each of its angles 3 equal to \[\frac{3}{5}\]times of 5 two right angles, then the number of sides is

    A) 3

    B) 5

    C) 6

    D) 8

    Correct Answer: B

    Solution :

    [b] Given, \[\frac{(2n-4)}{n}\times 90{}^\circ =\frac{3}{5}\times 180{}^\circ \] \[\Rightarrow \]   \[\frac{(2n-4)}{n}=\frac{3}{5}\times 2\] \[\Rightarrow \]   \[\frac{n-2}{n}=\frac{3}{5}\] \[\Rightarrow \]   \[5n-10=3n\] \[\Rightarrow \]   \[2n=10\] \[\Rightarrow \]   \[n=5\] Thus, the polygon has 5 sides.


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