# Probability of getting positive integral roots of the equation x^2 - n = 0 for the integer n, 1 ≤ n ≤ 40 is 1) ⅕ 2) 1/10 3) 3/20 4) 1/20

Solution: Option (3) 3/20

Given equation is x2-n = 0

Therefore, x = √n, (as we need only positive integral roots)

For integral roots, n can take the values, such as 1, 4, 9, 16, 25 and 36

Therefore, the total number of favourable outcomes = 6

Thus, the required probability = 6/40 = 3/20.