Correct option is B
Badhita is a type of Hetvabhasa (fallacy) in which the reason given to support a conclusion is contradicted by another, stronger reason.
In the given example, the reason given for the conclusion that "fire is cold" is that it is a substance. However, this reason is contradicted by the fact that fire is not a substance at all. Fire is a process of combustion, which involves the rapid oxidation of a material in the presence of oxygen. This process produces heat and light, but it does not produce any new substances.
Therefore, the given statement is a Badhita Hetvabhasa.
Information Booster:
Viruddha: Viruddha is a type of Hetvabhasa in which the reason given to support a conclusion is self-contradictory. For example, the statement "all squares are round" is a Viruddha Hetvabhasa because it is self-contradictory to say that something is both square and round.
Asiddha: Asiddha is a type of Hetvabhasa in which the reason given to support a conclusion has not been proven to be true. For example, the statement "all men are mortal because they are human" is an Asiddha Hetvabhasa because the premise that all men are mortal has not been proven to be true.
Savyabhichara: Savyabhichara is a type of Hetvabhasa in which the reason given to support a conclusion is not always true. For example, the statement "all swans are white because all swans I have ever seen are white" is a Savyabhichara Hetvabhasa because it is not always true that all swans are white.