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Q: What is the remainder when 1725 + 2125 is divided by 19?
A. 0 B. 2
C. 14 D. 15

Answer and Explanation

Answer:0

Explanation:
 17 = -2 mod 19
1725 = -225 mod 19
21 = 2 mod 19
2125 = 225 mod 19
Using the concept, “If a = b mod c and p = q mod c, then a + p = b + q
mod c”. 1725 + 2125 = -225 + 225 mod 19
= 0 mod 19 , i.e 0 is the remainder.   

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