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SSC Sample Paper SSC CGL - Sample Paper-1

  • question_answer
    Of the three numbers, the ratio of the first and the second is 8 : 9 and that of the second and third is 3 : 4. If the produce of the first and third numbers is 2400, then the second number is

    A)  45                   

    B)  40

    C)  30                               

    D)  55

    Correct Answer: A

    Solution :

    Let the numbers be a, b and c. Now,     \[a:b=8:9\]             \[b:c=3:4\] \[\therefore \]      \[a:b:c\]             \[=8\times 3:9\times 3:9\times 4\]             \[=24:27:36=8:9:12\]             \[\frac{a}{8}=\frac{b}{9}=\frac{c}{12}=k\] \[\Rightarrow \]   \[a=8k,\] \[b=9k,\] \[c=12k\] According to the question, \[8k\times 12k=2400\] \[\Rightarrow \]   \[{{k}^{2}}=\frac{2400}{8\times 12}=25\] \[\Rightarrow \]   \[k=5\] \[\therefore \] Second number \[=9k=9\times 5=45\]          


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