St1: positive difference between range of X and Y = 12
I hope I understand this condition correctly.
if set x = {1,13} and set y = {1,25} then SD (x) < SD (y)
if set x = {1,25} and set y = {1,13} then SD (x) > SD (y)
Hence Insufficient

St2: each element of Y is sqaure of an element in X
means the range and therefore the SD of Y has to be greater than SD of X
if set x = {1,2} and set y = {1,4} then SD (x) < SD (y)
if set x = {3,6} and set y = {9,16} then SD (x) < SD (y)
This will be true for any values of elements in set X and Y
hence SUfficient

And B

positive difference between range of X and Y = 12
I hope I understand this condition correctly.
if set x = {1,13} and set y = {1,25} then SD (x) < SD (y) ???
here 12 - 24 = -12

Experts please suggest is there any relation B/w range and SD i mean
range is derectly proptional to SD??