Step 1 : Understanding the Question
This question identifies the cell type in an angiosperm that contains three sets of chromosomes (3n).
Step 2 : Key Formulas and approach
The approach is based on "Double Fertilization":
1. $\text{Egg}(n) + \text{Sperm}(n) = 2n$.
2. $\text{Polar nuclei}(n+n) + \text{Sperm}(n) = 3n$.
Step 3 : Detailed Explanation
Synergids (A): These are (A) haploid (n).
Central Cell (B): Before fusion, it is (B) dikaryotic ($n+n$).
Zygote (C): The product of syngamy, which is (C) diploid ($2n$).
PEC (D): Triple fusion produces a triploid nucleus in the (D) Primary Endosperm Cell.
Step 4 : Final Answer
The PEC is triploid. Thus, option (D) is correct.