Q186 / 270 · NDA 2022 (Phase 2) · Mathematics

Paragraph: A university awarded medals in basket ball, football and volleyball. Only $x$ students $(x \lt 6)$ got medal in all the three sports and the medals went to a total of $15 x$ students. It awarded $5 x$ medals in basketball, $(4 x+15)$ medals in football and $(x+$ 25) medals in volleyball.
Question: How many received medals in exactly one of three sports?

  • Correct answer
    A
    $21 x-40$
  • B
    $21 x-35$
  • C
    $20 x-35$
  • D
    $20 x-25$

Solution

Exactly one of three sports $\begin{aligned} & =a+c+g=15 x-(40-6 x) \\ & =21 x-40 \end{aligned}$

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

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