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SSC Sample Paper Mock Test-4 SSC CGL Tear-II Paper-1

  • question_answer
    Find the length of the longest rod that can be placed in a hall of 10 m length, 6 m breadth and 4 m height.

    A)  \[2\sqrt{38}\,\,m\]         

    B)  \[4\sqrt{38}\,\,cm\]

    C)  \[2\sqrt{19}\,\,m\]                     

    D)  \[19\,\,m\]

    Correct Answer: A

    Solution :

    The length of the longest rod = The diagonal of the hall \[=\sqrt{{{10}^{2}}+{{6}^{2}}+{{4}^{2}}}=\sqrt{100+36+16}=\sqrt{152}\] \[=\sqrt{2\times 2\times 38}=2\sqrt{38}\,\,\text{m}\]       


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