The question asks:

Is 10^(-x) < 0.01 ?

We can rewrite the question so we have powers of 10 on both sides:

Is 10^(-x) < 1/100 ?
Is 10^(-x) < 10^(-2)

and for the answer to be yes, the power on the left side needs to be smaller than the power on the right side, so our question becomes

Is -x < -2 ?
Is x > 2?

So Statement 2 is not sufficient, but only on a silly technicality that you would never see on the real GMAT - Statement 2 leaves open the possibility that x is exactly equal to 2.

The typesetting in Statement 1 is a bit bizarre but I think it means to say:

10^(-x) + (6/25) < 1/4

which we can rewrite:

10^(-x) < 1/4 - 6/25
10^(-x) < 25/100 - 24/100
10^(-x) < 1/100

which is precisely what we wanted to prove. So Statement 1 is sufficient and the answer is A.