Problem Solving (PS) | Re: How many integers from 0 to 1000 inclusive, have a remainder of 3 when

\(x = 16q + 3\)

\(0 \leq 16q + 3 \leq 1000\)

\(-3 \leq 16q \leq 997\)

\(-0.something \leq q \leq 62.something\)

q can take 63 integer values from 0 to 62 inclusive, thus x can also take 63 values.

Answer: C.

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