Consequent, Consequence 1. Consequent to the decisions taken by the committee a new set of procedures was brought into force. 2. The past is of little consequence when one is willing to bravely face the challenges of the future. In which of the sentences given above has/have the words been used correctly?

Both sentences use the words correctly. (1) 'Consequent to' is a standard prepositional phrase meaning 'as a result of', correctly used to indicate that new procedures followed the committee's decisions. (2) 'Consequence' means importance or significance, and 'of little consequence' is an idiomatic phrase meaning 'of little importance', correctly used here. Hence, both sentences are correct.