A.I. Explanation:

Option 1: "Hitler arrogance and exasperation regarding trivial things were inherited from his family tree."

Explanation: This option incorrectly attributes Hitler's traits to inheritance from his family tree without directly linking it to the impact of his father's behavior as described in the text. The text emphasizes the influence of his father's domineering personality on Hitler's rebelliousness rather than suggesting that his arrogance was inherited.

Option 2: "Hitler would have been displaying his rebelliousness through his paintings, had he not taken up fighting for Germany in the war."

Explanation: This option misinterprets the text by suggesting that Hitler's rebelliousness would have been expressed through painting. The text indicates that his ambition to be an artist was consistently overruled by his father, and it does not imply that he would have channeled his rebelliousness into art instead of military service.

Option 3: "Hitler’s depressing childhood, because of his father’s haughty attitude towards him, germinated the seeds of rebelliousness."

Explanation: This option accurately summarizes the author's opinion by highlighting the impact of Hitler's father's domineering personality on his childhood and subsequent rebelliousness. The text explicitly states that Hitler's father's wrath had an immense impact on his way of life and thought, leading to the development of his rebellious nature.

Option 4: "Hitler’s arrogance and exasperation over trivial matters were inherited from his family background."

Explanation: This option is incorrect as it suggests that Hitler's traits were inherited from his family background without acknowledging the specific influence of his father's behavior. The text focuses on the direct impact of his father's domineering personality rather than a general inheritance of traits.