I'm afraid that's not right, either. Imagine that I changed the tense of my example and generalized: Moldy cake makes people sick. I could even make it 100% certain: Moldy cake always makes people sick. That still wouldn't tell us that we can't get sick any other way. To get an "only" causal relationship, we need to be told that directly:
Only X causes Y.
Y happens only as a result of X.
However, since the GMAT deals mostly with realistic situations rather than formal logic, I doubt you will ever see this on the test. It's very hard (one might say impossible) to find realistic examples in which we KNOW that only one thing could possibly cause a certain effect.