Railways Mathematics Ratio Proportion and Partnership Sample Paper Ratio, Proportion & Partnership Sample Test Paper-6

  • question_answer If A : B : C = 2 : 3 : 4. Then \[\frac{A}{B}:\frac{B}{C}:\frac{C}{A}\] is equal to

    A)  4 : 9 : 16         

    B)  8 : 9 : 12

    C)  8 : 9 : 16         

    D)  8 : 9 : 24

    Correct Answer: D

    Solution :

    [d] Let A=2x, B=3x, C=4x \[\therefore \] \[\frac{A}{B}=\frac{2}{3},\frac{B}{C}=\frac{3}{4},\frac{C}{A}=\frac{4}{2}=\frac{2}{1}\] Now, \[\frac{A}{B}:\frac{B}{C}:\frac{C}{A}=\frac{2}{3}:\frac{3}{4}:\frac{2}{1}\] \[=\frac{2}{3}\times 12:\frac{3}{4}\times 12:\frac{2}{1}\times 12\] \[=8:9:24\]

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