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Railways Quantitative Aptitude Average Sample Paper Average & Problems on Ages Sample Test Paper-7

  • question_answer
    Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Tanya's age to that of her grandfather?

    A)  1 : 2                

    B)  1 : 5     

    C)  3 : 8                

    D)  11 : 53

    Correct Answer: D

    Solution :

    [d] 16 years ago, let T = x years and G = 8x years After 8 years from now, T = (x + 16 + 8) years and G = (8x + 16 + 8) years. \[\therefore \] \[8x+24=3(x+24)\Leftrightarrow 5x=48.\] 8 years ago, \[\frac{T}{G}=\frac{x+8}{8x+8}=\frac{\frac{48}{5}+8}{8\times \frac{48}{5}+8}=\frac{88}{424}=\frac{11}{53}\]


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