MAAJ wrote:Is x + y > 2 sqrt(xy)?

1) (x+y)² > (2sqrt(xy))²
2) x is not equal to y

(1) (x+y)² > [2√(xy)]²
If x = -4, y = 0, then x + y = -4 and 2√(xy) = 0; here x + y < 2 sqrt(xy)
If x = 9, y = 4, then x + y = 13 and 2√(xy) = 12; here x + y > 2 sqrt(xy)
It can be seen that we don't get a definite answer.
So, (1) is NOT SUFFICIENT.

(2) Again, the examples taken in statement (1) implies that (2) is NOT SUFFICIENT.

Combining (1) and (2), also we take the same examples. Hence, combining also is NOT SUFFICIENT.

The correct answer is E.