A word has been given in each question and has been used in the sentences given below. Identify the statements where the word has been used in a contextually and grammatically correct manner.

Mitigate
(i) Wearing protective gear can help mitigate the risk of injury during construction work.
(ii) The government introduced new subsidies to mitigate the financial burden on low-income households.
(iii) Droughts are a persistent challenge in the Rajasthan plains that are mitigated by farmers and traders.

The correct option is Both (i) & (ii).

Meaning of 'Mitigate':
The verb mitigate means to make something less severe, harmful, or painful, or to alleviate a negative condition (such as a risk, burden, or hardship).

Evaluating the given sentences:
(i) Wearing protective gear can help mitigate the risk of injury during construction work.
Correct: The word is used correctly here as wearing protective gear reduces or lessens the risk of suffering an injury.

(ii) The government introduced new subsidies to mitigate the financial burden on low-income households.
Correct: The word is used correctly here to mean easing or lessening financial hardship/burden.

(iii) Droughts are a persistent challenge in the Rajasthan plains that are mitigated by farmers and traders.
Incorrect: Farmers and traders cannot lessen or prevent droughts (the natural event itself), though they can attempt to mitigate the impact or effects of a drought. Directly stating that "droughts are mitigated by farmers" is contextually incorrect.

Therefore, statements (i) and (ii) use the word 'mitigate' in a contextually and grammatically correct manner.