How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers?

Let pp, qq and rr be 2-digit numbers where p < q < r. If pp + qq + rr = tt0, where tt0 is a 3-digit number ending with zero, consider the following statements :

1. The number of possible values of p is 5.

2. The number of possible values of q is 6.

Which of the above statements is/are correct?

What is the sum of all 4-digit numbers less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digits is repeated?

What is the number of selections of 10 consecutive objects in clockwise direction out of 12 objects arranged in a circle?