What is the meaning of the Hindi idiom 'नाम कमाना'?

The question asks to select the option that best expresses the meaning of the given idiom (मुहावरा).

The idiom is: नाम कमाना (naam kamaana)

Meaning of नाम कमाना:
This idiom means to gain fame, reputation, or recognition. It implies achieving success or distinction that makes one well-known and respected.

Let's evaluate the given options:

1. बहुत अमीर हो जाना (bahut ameer ho jaana): This means "to become very rich." While fame can sometimes lead to wealth, the primary meaning of "नाम कमाना" is about reputation, not wealth itself.
2. वंश चलाना (vansh chalaana): This means "to continue the lineage" or "to carry on the family name/generation." This is unrelated to gaining personal fame.
3. यश प्राप्त करना (yash praapt karna): This means "to achieve fame," "to gain glory," or "to earn renown." "यश" (yash) directly translates to fame, glory, or reputation. This option perfectly matches the meaning of "नाम कमाना."
4. बहुत कुख्यात होना (bahut kukhyat hona): This means "to become very infamous" or "to be notorious." "कुख्यात" (kukhyat) refers to negative fame or notoriety. "नाम कमाना" generally refers to positive fame or a good reputation.

Therefore, the most appropriate meaning for "नाम कमाना" is "यश प्राप्त करना".

The final answer is $\text{यश प्राप्त करना}$