Step 1: Understanding the Problem:
Human evolution is characterized by a sequential progression of hominid species over millions of years, leading from ape-like ancestors to modern humans.
Step 2: Approach and Formula:
Analyze the chronological timeline of human ancestors based on fossil records, placing them in order of appearance from oldest to most recent.
Step 3: Detailed Explanation:
- Dryopithecus (e): One of the earliest known ancestors, existing about 15 million years ago. They were more ape-like.
- Australopithecus (c): Appeared around 2 to 4 million years ago in East African grasslands.
- Homo habilis (a): The first human-like hominid, living about 2 million years ago.
- Homo erectus (b): Evolved around 1.5 million years ago; known for a larger brain and likely use of fire.
- Neanderthal man (d): Lived near East and Central Asia between 1,00,000 to 40,000 years back.
Therefore, the correct evolutionary sequence is Dryopithecus $\rightarrow$ Australopithecus $\rightarrow$ Homo habilis $\rightarrow$ Homo erectus $\rightarrow$ Neanderthal man. This matches the sequence e $\rightarrow$ c $\rightarrow$ a $\rightarrow$ b $\rightarrow$ d.
Step 4: Final Answer:
The correct option is (2).