CATNumber System > Medium595959494949565656464646✅ Correct Option: 4Related questions:CAT 2017 Slot 1The number of solutions (x,y,z)(x, y, z)(x,y,z) to the equation x−y−z=25x - y - z = 25x−y−z=25, where x,yx, yx,y, and zzz are positive integers such that x≤40,y≤12x \le 40, y \le 12x≤40,y≤12, and z≤12z \le 12z≤12 isCAT 2019 Slot 2How many pairs (m,n)(m, n)(m,n) of positive integers satisfy the equation m2+105=n2m^2 + 105 = n^2m2+105=n2?CAT 2020 Slot 3Let N,xN, xN,x and yyy be positive integers such that N=x+y,N = x + y,N=x+y, 2<x<102 < x < 102<x<10 and 14<y<2314 < y < 2314<y<23. If N>25N > 25N>25, then how many distinct values are possible for N?N?N?