Imagine a question and stream-of-consciousness explanation for which this is the answer: (B)

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Question: How many positive integers less than 70 have a reminder 01 when divided by 3?
Options:
(A) 13
(B) 24
(C) 35
(D) 16
(E) 17
Stream-of-consciousness: 1 also gives the remainder of 1 when divided by 3. So, there are total of 24 numbers.