When you are talking about exponential decay (i.e. half-life problems) remember that the rate constant λ is related to the half life by the following equation:
λ = ln 2/(half-life)
You should know that ln 2 = 0.693. So all the problem is asking is what is 0.693/1.5, or better yet which of the answer choices multiplied by 1.5 will give you 0.693. The answer is obviously A.
Hope this helps.