Q27 / 54 · KVPY 2017 (5 Nov SA) · Mathematics

If $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}$ are four distinct numbers chosen from the set $\{1,2,3 \ldots, 9\}$, then the minimum value of $\frac{\mathrm{a}}{\mathrm{b}}+\frac{\mathrm{c}}{\mathrm{d}}$ is

  • A
    $\frac{3}{8}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{13}{36}$
  • Correct answer
    D
    $\frac{25}{72}$

Solution

$\frac{2}{9}+\frac{1}{8}=\frac{25}{72}$

Hence, the correct answer is option: 'D'.

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