Which of the following is not involved in secondary growth?

I) Apical meristem

II) Intercalary meristem

III) Fascicular cambium

IV) Cork cambium

Only lateral meristems known as cork cambium, vascular cambium (intrafascicular and interfascicular cambium) are involved in secondary growth. 

Apical meristem is found at the tips of stems and roots, the apical meristem is responsible for primary growth, increasing the length of the plant. 
Intercalary meristem is located at the base of leaves or internodes in certain plants. It aids in regrowth and repair of damaged tissues.