Mathematica

Ramesh loves math. He takes 4 positive numbers labelled: a, b, c, d. He wishes to know how many sets of {a,b,c,d} values are there that follow the below 2 conditions:- 1). a+d is a number between 3 & 3000 (both inclusive) 2). ((a*d) – (b*c)) is greater than 0 Let’s call the sum of a & d as ‘X’ For each of the ‘T’ test cases, output a single number specifying the number of possible sets of {a,