How it Works › Forums › Introductory Problems (AMC 8 Problems 10-20) › Unique Properties of Integers Introductory Problems Set 2 › Reply To: Unique Properties of Integers Introductory Problems Set 2

Great work Archit and Nimalan! Archit your solutions are very clear and accurate, you have been awarded 25 points!

Nimalan, I just had a few comments:

Problem 1. You are on the right track, but the numbers have to both leave a remainder of 1 when divided by 4 and 2 when divided by 7 at the same time, not individually.

Problem 2: Try to actually find any of the numbers, you will start to see the answer.

Problem 3: Great work, you know that -48 is the equivalent form of S in mod 10, but think about what -48 is in mod 10, when you divide by 10 your remainder is -8 not 8.

Problem 4: I think you were thinking about even/odd not prime/composite