Problems Based On Concept 1
254) If x^2-y^2=a where x,y are positive integers and a is an odd integer. If (x,y) has only one solution then a is
c) prime square
d) a ,b,c
255) If m^2+24m+21 has 3 factors for a natural number m, find the sum of all such m’s
256) Find the number of pairs of positive numbers (x,y) such that x^3-y^3=100 and (x-y) and xy are integers.
a) 0 b) 1 c) 2 d) 4 e) none of these