Let p denote the greatest 4-digit number which when divided by 2, 3, 4, 5 and 6 leaves remainders 1, 2, 3, 4, and 5, respectively. The sum of the four digits of p is:

What is the remainder when (120)188 is divided by 7?

What is the unit digit of the product of all even numbers between 1 and 11?

When a number is divided by 136, it leaves a remainder of 36. If the same number is divided by 17, what will be the remainder?