Let $a_i = i + \frac{1}{i}$ for $i = 1, 2, \ldots, 20$. Let $p = \frac{1}{20} \sum_{i=1}^{20} a_i$ and $q = \frac{1}{20} \sum_{i=1}^{20} \frac{1}{a_i}$. Then,

  • A
    $q \in \left(0, \frac{22-p}{21}\right)$
  • B
    $q \in \left[\frac{22-p}{21}, \frac{2(22-p)}{21}\right)$
  • C
    $q \in \left[\frac{2(22-p)}{21}, \frac{22-p}{7}\right)$
  • D
    $q \in \left[\frac{22-p}{7}, \frac{4(22-p)}{21}\right)$

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