Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-25

  • 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 product of the first and third numbers is 2400, then the second number is

    A)  45                   

    B)  40

    C)  30       

    D)  35

    Correct Answer: A

    Solution :

    Let the numbers be a, b and c, Now, a : b = 8 : 9, b : c = 3 : 4 = 24 : 27 : 36 = 8 : 9 : 12 \[\therefore \]      \[\,\frac{a}{8}=\frac{b}{9}=\frac{c}{12}=k\] \[\Rightarrow \]   \[a=8k,\text{ }b=9k,\text{ }c=12k\] 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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