Step 1: Understanding the Concept
White blood cells are of two kinds: granulocytes and agranulocytes.
Step 2: Statement I
Granulocytes (neutrophils, eosinophils and basophils) are end cells with lobed nuclei. They do not divide after release from the bone marrow. Statement I is correct.
Step 3: Statement II
Agranulocytes, mainly lymphocytes, can divide by mitosis, for example when they multiply in lymphoid organs after meeting an antigen. Statement II is correct.
Final Answer:
Both statements are correct.
\[ \boxed{\text{(A) }\text{Both statement I and statement II are correct.}} \]