4 when subtracted from a positive number gives a value equal to 21 times the reciprocal of the number. The number is:

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Solution

The correct option is C
7

Let the number be x.Then, $x - 4 = \frac{21}{x} \Leftrightarrow x^{2} - 4 x - 21 = 0 \Leftrightarrow (x - 7) (x + 3) = 0 \Leftrightarrow x = 7.$

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