Option 1 states that the Battle of Plassey was won by the British more by their diplomatic skill than by their strength of arms. This statement is correct. The Battle of Plassey took place in 1757 between the British East India Company and the Nawab of Bengal. The British were able to secure victory by forming alliances and using their diplomatic influence to gain support from local Indian rulers. The British also used bribery and deceit to weaken the Nawab`s forces. Thus, their diplomatic strategy played a significant role in their victory.

Option 2 states that the Battle of Buxar was culminated with the Treaty of Allahabad and settlement with the Nawab of Awadh. This statement is also correct. The Battle of Buxar took place in 1764 between the British East India Company and the combined forces of the Nawab of Bengal, the Nawab of Awadh, and the Mughal Emperor. The British emerged victorious, and as a result of the Treaty of Allahabad in 1765, they gained significant territorial and administrative control over Bengal, Bihar, and Odisha. The Nawab of Awadh was also forced to submit to British authority and negotiate a settlement.

Therefore, both statements 1 and 2 are correct. The