**Rule: Material nouns used in a general sense do not take an article.** 'Silver' is a material noun being discussed as a substance in general. Therefore, no article is required. If the sentence referred to specific silver (e.g., 'The silver in this necklace is pure'), 'the' would be used. Options (a), (b), and (c) are incorrect.

**Rule: No article is used in phrases denoting the mode of transport like 'by sea', 'by air', 'by road', 'by train'.** These are fixed expressions where the noun represents a general concept of travel, not a specific sea or road. Therefore, no article is the correct choice. Options (a), (b), and (c) are all incorrect.

**Rule: 'In a hurry' is a fixed idiomatic expression.** The noun 'hurry' in this phrase is always preceded by the indefinite article 'a'. 'Hurry' begins with a consonant sound. Option (b) is wrong by sound. Option (c) and (d) are incorrect for this fixed phrase.

**Rule: 'A little' means 'some', which fits the meaning of this proverb.** This is a famous saying. 'A little knowledge' means 'some amount of knowledge'. The proverb warns that having a small amount of knowledge can be dangerous. 'Little knowledge' (without 'a') would mean 'almost no knowledge', which doesn't fit the proverb's meaning. 'The little' would refer to a specific small amount of knowledge. 'An' is incorrect by sound.

**Rule: 'The' is used to refer to a specific, unique place or position.** 'The summit' refers to the single, specific peak of the mountain they were climbing. The context implies a definite location. The first part of the sentence also uses 'the' with the ordinal 'first'. Option (a) or (b) would wrongly suggest there were multiple summits to choose from. Option (d) is incorrect.

**Rule: An abstract noun takes 'the' when it is specified by a modifying phrase (usually with 'of').** 'Beauty' is an abstract noun. Here, it's not beauty in general but the specific beauty 'of Kashmir'. This specification makes it definite, requiring 'the'. Option (a) and (b) are incorrect. Option (d) would be correct for a general statement like 'Beauty is subjective'.

**Rule: Article choice for abbreviations depends on their sound, and some abstract nouns are used with 'a' in certain phrases.** The abbreviation 'F.I.R.' is pronounced 'ef-eye-ar', starting with a vowel sound, so 'an' is used. The phrase 'creating a nuisance' is a fixed collocation where the abstract noun 'nuisance' is treated as a singular countable event. Therefore, 'a' is correct. Option (a) is incorrect for 'F.I.R.'. Option (c) would imply a specific, known nuisance. Option (d) is incorrect for both blanks.

**Rule: Use 'a'/'an' with singular countable nouns in expressions of time and age.** The phrase is 'at an early age'. 'Early' begins with a vowel sound, so 'an' is the correct indefinite article. It refers to a point in the general period of his youth. Option (a) is wrong by sound. Option (c) would be incorrect as it's not a specific age known to the listener. Option (d) is incorrect for this phrase.

**Rule: The choice of 'a' or 'an' depends on whether the 'h' is pronounced.** In modern English, especially American English, the 'h' in 'historical' is pronounced. Therefore, it starts with a consonant sound, and 'a' is the correct article. While 'an historical' was common in older British English (when the 'h' was sometimes dropped), 'a historical' is now standard. Option (b) is now largely considered incorrect. Option (c) would make it too specific. Option (d) is incorrect.

**Rule: When the name of a meal is preceded by an adjective, an indefinite article is used.** While we usually say 'have dinner' (no article), when an adjective like 'nice', 'delicious', or 'quick' is added, the meal becomes a singular countable event, requiring 'a' or 'an'. 'Very' starts with a consonant sound, so 'a' is correct. Option (b) is wrong by sound. Option (c) would be too specific unless the meal was previously discussed. Option (d) is incorrect due to the adjective.