Solution:
Option C is correct as 'The' is used with a word having a specific nature. Hence 'The Times of India' implies a particular newspaper.

Solution:
No article is required.

Solution:
Here, a specific sea 'Bay of Bengal' is being talked about. 'The' article will be used.

Solution:
The first blank shall take the article 'a' because vegetarian starts with the consonant 'v' and is a singular countable noun while the second blank will not take any article as meat is an uncountable noun.

Solution:
Before most proper nouns, like names of people, continents, countries, cities, etc, the use of an article is omitted. As 'Sicily' is the name of a city, (which is an island), no article precedes this word. However, before certain proper names, especially names of places, the definite article 'the' is used. The word 'Andamans' is one such proper name which denotes the name of a place (a group of islands). Other examples are: 'the Himalayas', the Sahara', 'the West Indies', etc.

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Solution:
'A' is used before unspecific, singular nouns that begin with a consonant sound. The sentence refers to an unspecific flat. 'The' is used before specific or unique places/things. Here, 'city centre' is the name of a place which is unique (only one).