Step 1: Understanding the Question:
The question asks for the parent varieties of the hybrid mango 'Amrapali'.
Step 2: Key Formula or Approach:
This is a factual question from the field of horticulture, specifically fruit breeding. The approach is to recall the specific cross that resulted in the 'Amrapali' variety.
Step 3: Detailed Explanation:
'Amrapali' is a popular mango hybrid developed at the Indian Agricultural Research Institute (IARI), New Delhi, in 1971. It was created to develop a dwarf, regular-bearing, and high-quality variety suitable for high-density planting.
The cross was made using:
Dasheri (as the female parent) $\times$ Neelum (as the male parent).
This combination resulted in the desired traits, making 'Amrapali' a significant achievement in mango breeding.
Step 4: Final Answer:
The correct parentage for 'Amrapali' mango is Dasheri $\times$ Neelum. Therefore, option (B) is the correct answer.