Q185 / 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 at least two of three sports?

  • A
    $30-6 x$
  • B
    $35-6 x$
  • C
    $40-5 x$
  • Correct answer
    D
    $40-6 x$

Solution

At least two of three sports $=b+e+f+d=40-7 x+x=40-6 x$

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

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