The number of points, having both coordinates as integers, that lie in the interior of the triangle with vertices \((0, 0), (0, 31),\) and \((31, 0)\) is

Question and options

The number of points, having both coordinates as integers, that lie in the interior of the triangle with vertices

(0, 0), (0, 31),

and

(31, 0)

Correct answer: A - 435

Interior lattice points satisfy x,y >= 1 and x+y <= 30: count = 29+28+...+1 = 435.