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

  • question_answer The sides of a triangle are in the ratio \[\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\]and its perimeter is 104 cm. The length of the longest side is

    A)  48 cm 

    B)  32 cm

    C)  26 cm 

    D)  52 cm.

    Correct Answer: A

    Solution :

    [a] Sides are in the ratio \[\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\] i.e. \[6:4:3\] Let the ratio be x \[\therefore \] sides are 6x, 4x and 3x Given that 6x + 4x + 3x + = 104 \[\Rightarrow 13x=104\] \[\Rightarrow x=8\] \[\therefore \] Longest side \[=6x=6\times 8=48\,\,cm\]

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