<u>Answer:</u> A is single displacement reaction, B is double displacement reaction and C is decomposition reaction.
<u>Explanation:</u>
Synthesis reaction is defined as the reaction where substances combine in their elemental state to form a single compound.

Decomposition reaction is defined as the reaction where a single substance breaks down into two or more simpler substances.

Single displacement reaction is defined as the reaction where more reactive element displaces a less reactive element from its chemical reaction.

Element C is more reactive than element A.
Double displacement reaction is defined as the reaction where exchange of ions takes place.

Combustion reaction is defined as the reaction where a hydrocarbon reacts with oxygen gas to produce carbon dioxide and water molecule.

For the given options:
<u>Option A:</u>

This is considered as a single displacement reaction because lead is more reactive than mercury.
<u>Option B:</u>

This is considered as a double displacement reaction.
<u>Option C:</u>

This is considered as a decomposition reaction.
Hence, A is single displacement reaction, B is double displacement reaction and C is decomposition reaction.