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Probability of getting positive integral...

Probability of getting positive integral roots of the equation `x^(2)-n=0` for the integer `n, 1 le n le 40` is

A

`(1)/(5)`

B

`(1)/(10)`

C

`(3)/(20)`

D

`(1)/(20)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `x^(2)-n=0 rArr x = pm sqrt(n)`
`rArr " " x = sqrt(n) " " [ because "we need only positive integral roots"]`
Now, for integral roots, n can take value 1, 4, 9, 16, 25 and 36
`therefore` Required probability `=(6)/(40)=(3)/(20)`
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