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Railways R.R.C. (Patna) Solved Paper Held on 1st_Shift 23-11-2014

  • question_answer
    The angles of a pentagon are in the ratio of 1 : 2 : 3 : 5 : 9. The smallest angle is?

    A) \[72{}^\circ \]                          

    B) \[45{}^\circ \]

    C) \[54{}^\circ \]                          

    D) \[27{}^\circ \]

    Correct Answer: D

    Solution :

    Suppose the angles of a pentagon are x, 2x, 3x, 5x and 9x. Then, \[x+2x+3x+5x+9x=(5-5)\times 180{}^\circ \] \[20x=3\times 180{}^\circ \] \[x=27{}^\circ \] Hence, the smallest angle is\[27{}^\circ \]


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