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Find the remainder when 77 x 85 x 73 is divided by 9Select one:a. 1b. 2c. 4d. 7

Question

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Solution

To solve this problem, we can use the property of modular arithmetic which states that (abc) mod m = [(a mod m)(b mod m)(c mod m)] mod m.

Step 1: Find the remainder of each number when divided by 9. 77 mod 9 = 5 85 mod 9 = 4 73 mod 9 = 1

Step 2: Multiply these remainders together and then find the remainder when the result is divided by 9. (541) mod 9 = 20 mod 9 = 2

So, the remainder when 77 x 85 x 73 is divided by 9 is 2. Therefore, the answer is b. 2.

This problem has been solved

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