Q1.--- Show that no triangular number can be of the form --- 3n-1.
Q2 -- if x is prime to p and p is a prime no. then show that Xp^r - p^r-1 is divisible by pr.
Q:1 explian why gauss law is valid for continuous charge distribiution while it is invalid for discrete charge system.
it is very simple
since , mod(x) and x-1 both ar continious thus the mod of sum of these cont. functions are naturally the cont. funtions.
i.e, mod(x-1 - mod(x)) will be cont. funtion.
I have scored 91% marks in science.