$600$ residents were surveyed about whether they liked $3$ different candidates running for certain offices in their

$600$ residents were surveyed about whether they liked $3$ different candidates running for certain offices in their town. $35\%$ of those surveyed liked candidate $A,$ $40\%$ liked candidate $B,$ and $50\%$ liked candidate $C.$ If all residents liked at least one of three candidates and $18\%$ liked exactly $2$ of the three candidates, then how many of the residents liked all three of the candidates?

A. 150
B. 108
C. 42
D. 21
E. 7

Answer: D

Source: Veritas Prep

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