Correct Answer: Warmly

Solution : The third option is the correct answer.

When someone is received with open arms, it means he is greeted enthusiastically and with kindness. In the context of the sentence, it implies that wherever the Prime Minister goes, people welcome him warmly and with a positive attitude.

The meanings of the other options are as follows:

• Honourably refers to a manner that is characterised by honesty, fairness, and integrity.
• Promptly refers to a timely or immediate manner.
• Harmoniously refers to a way that is characterised by harmony or agreement.

Therefore, the correct answer is warmly.