6th Class Mathematics Fractions Question Bank Arithmetic

  • question_answer
    The product of two numbers is 936. If their ratio is 13 : 18 then the smallest number is

    A) 39                   

    B)          36

    C) 54                   

    D)          26

    Correct Answer: D

    Solution :

    Let \[\frac{13}{19}\,=\frac{x}{y}\]   (fraction form) \[\Rightarrow \]            \[13y=18y\] \[\Rightarrow \]            \[y=\frac{18}{13}x\]. Product = 936 \[\frac{18}{13}{{x}^{2}}=936\] \[{{x}^{2}}=\frac{{{\bcancel{938}}^{52}}\times 13}{{{\bcancel{18}}_{1}}}\] \[{{x}^{2}}=52\times 13\] \[x=\sqrt{13\times 13\times 2\times 2}\] \[x=26\]          


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