Railways Sample Paper RRB (Assistant Loco Pilot & Technician) Sample Test Paper-10

  • question_answer
    The ratio of three numbers is \[7:8:9\] and the sum of their squares is 3424. Find the sum of the number.

    A)  94                               

    B)  86

    C)  96                   

    D)       92

    Correct Answer: C

    Solution :

     Let the Numbers be \[7x,\,\,8x,\] and \[9x\]then,     \[49{{x}^{2}}+64{{x}^{2}}+81{{x}^{2}}=3424\]               \[\Rightarrow \] \[214{{x}^{2}}=3424\]     \[\Rightarrow \] \[{{x}^{2}}=16\] \[\Rightarrow \]\[x=4\]     \[\therefore \]Sum of numbers \[=(7x+8x+9x)\]              \[=24x\]                           \[=(24\times 4)=96.\]


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