Explanation:

• The Constitution provides for inter-government delegation of executive functions in order to mitigate rigidity and avoid a situation of deadlock.

• Accordingly, the President may, with the consent of the state government, entrust to that government any of the executive functions of the Centre. Hence, statement 1 is not correct. • Conversely, the Governor of a state may, with the consent of the Central government, entrust to that government any of the executive functions of the state. Hence, statement 2 is correct. 

• This mutual delegation of administrative functions may be conditional or unconditional.

• The Constitution also makes a provision for the entrustment of the executive functions of the Centre to a state without the consent of that state. But, in this case, the delegation is by the Parliament and not by the President. Thus, a law made by the Parliament on a subject of the Union List can confer powers and impose duties on a state, or authorise the conferring of powers and imposition of duties by the Centre upon a state (irrespective of the consent of the state concerned). Notably, the same thing cannot be done by the state legislature