Correct Answer - Option 2 : Only assumption 1 is implicit.
The logic here is as follows:
Assumption 1: Because of the offer of a picnic, the child may eat his/her vegetables → True (As from the statement, we know that the father is trying to make his son eat vegetables by giving him the offer of going to a picnic. So, Assumption 1 will be true).
Assumption 2: All children hate vegetables → False (The statement mentions regarding only \a single child, and there is no mention of 'all children hate vegetables'. So, Assumption 2 is false).
Therefore, only Assumption 1 is implicit.
Hence, the correct answer is "Only assumption 1 is implicit."