**Explanation:**

A general lien is the right of a creditor to retain possession of a debtor's property until the debt owed is paid in full. This right allows the creditor to sell the property to recover the amount owed. However, there are certain limitations to the exercise of a general lien, and not all parties have the right to exercise it.

The options provided in the question are a factor, a banker, and an auctioneer. Let's analyze each option to determine which one cannot exercise the right of general lien.

**a) Factor:**
A factor is an agent who buys and sells goods on behalf of another party. Factors typically have the right to exercise a general lien on the goods they hold until their commission or advances are paid. Therefore, a factor can exercise the right of general lien.

**b) Banker:**
A banker refers to a person or institution that is engaged in the business of banking, which includes accepting deposits, lending money, and providing financial services. In general, a banker does not have the right to exercise a general lien on the property of its customers. However, there are certain situations where a banker may have a right of lien, such as when the property is pledged as security for a loan. Therefore, it is possible for a banker to exercise the right of general lien, but it is not a general right that all bankers possess.

**c) Auctioneer:**
An auctioneer is a person who conducts auctions, where goods or property are sold to the highest bidder. Auctioneers do not typically have the right to exercise a general lien on the goods they handle. Their role is to facilitate the sale of goods, and they do not have a vested interest in the property. Therefore, an auctioneer cannot exercise the right of general lien.

**d) All of these:**
Based on the analysis above, the correct answer to the question is option 'C', which states that an auctioneer cannot exercise the right of general lien. The other options, a factor and a banker, can have the right of general lien in certain circumstances.