Question 550112
Here I use "mod" to shorten the solution. "Mod" or "modulo" is another way of expressing remainders.


The number is 3 mod 5 so the units digit must be either 3 or 8. We also know the number is 2 mod 4, so it must be even but not divisible by 4. Hence the units digit is 8. Also, it is 1 mod 3 so 28, 58, 88, 118, ... are the choices. 58 is the smallest positive integer that works, and 58 is congruent to 2 mod 7, so the remainder is 2.