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1. How many positive integers less than 100 have a remainder of 2 when divided by 13?
- A. 6
- B. 6
- C. 6
- D. 6
Answer: Option C
Explanation:
The first positive integer that has a remainder of 2 when divided by 13 is 2. The greatest positive integer less than 100 that has a remainder of 2 when divided by 13 is 93.
So, the total number of numbers that have a remainder of 2 when divided by 13 is (93 - 2)/13 + 1 = 7 + 1 = 8.
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