A set contains the following $5$ numbers: $a^2, a^5, a, \dfrac{a}2, \dfrac{a}5.$ Is the range of the set equal to

A set contains the following $5$ numbers: $a^2, a^5, a, \dfrac{a}2, \dfrac{a}5.$ Is the range of the set equal to $a^2-a^5?$

(1) $a$ is negative.
(2) $a^5<a$

Answer: C

Source: Veritas Prep

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