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the

Step 1: 'Environment' here refers to a specific, well-known thing — the natural world around us. Step 2: When a noun refers to something unique or well-known and particular, we use 'the'. Step 3: There is only one environment we are talking about — Earth's environment — making it particular. Step 4: 'A' and 'an' are indefinite articles used for non-specific things, which does not apply here. Step 5: This is similar to saying 'the sun', 'the moon', 'the sky' — things that are unique and specific.

Gold is a precious metal.

Step 1: 'Gold' is a material noun (also called uncountable or mass noun). Step 2: The rule states that we do not normally use 'the', 'a', or 'an' with material nouns when speaking about them in general. Step 3: 'Gold is a precious metal' makes a general statement about gold as a substance — no article is needed. Step 4: 'The gold' would be used only when referring to a specific gold, e.g., 'The gold we bought today is pure.' Step 5: 'A gold' and 'An gold' are completely wrong because 'gold' is an uncountable noun and cannot take 'a/an'.

The

Step 1: 'Ganga' is the name of a river. Step 2: The rule clearly states that 'the' is used before the names of rivers. Step 3: Examples from the textbook include 'the Ganga', 'the Mahanadi', 'the Amazon'. Step 4: We use 'the' because we are referring to a specific, well-known river. Step 5: 'A' and 'An' are wrong because they are indefinite articles used for non-specific things, and a river's proper name is always specific.

She is the best student in class.

Step 1: 'Best' is a superlative adjective (the highest degree of 'good'). Step 2: The rule states that 'the' is always used before superlative adjectives. Step 3: Other examples are: the tallest, the most intelligent, the sweetest, the fastest. Step 4: 'A' and 'an' are wrong because they are indefinite articles and cannot be used with superlatives. Step 5: Omitting the article ('She is best student') is also wrong — a superlative must always be preceded by 'the'.