Census data on literacy in Punjab considers a person literate if they:

Can read and write their name
Have completed primary education
Can read and write with understanding
Have a graduate degree

The correct answer is: c) Can read and write with understanding.

According to the Census of India, a person is considered literate if he or she can read and write with understanding in any language. This means that the person must be able to read and understand a simple text, such as a newspaper article or a government notice. They must also be able to write a simple sentence or paragraph.

Option (a) is incorrect because it only requires the person to be able to read and write their name. This is not a sufficient level of literacy, as it does not demonstrate that the person can understand what they are reading or writing.

Option (b) is incorrect because it only requires the person to have completed primary education. This is not a sufficient level of literacy, as there are many people who have completed primary education but are not able to read and write with understanding.

Option (d) is incorrect because it requires the person to have a graduate degree. This is a very high level of education, and it is not necessary for a person to be literate. There are many people who are not literate but who are still able to function in society.

In conclusion, the correct answer is: c) Can read and write with understanding.