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Option 1: Rajdhani train number 2433 starts from Chennai Central and covers a certain distance, but it is not the longest distance among the given options.
Option 2: Rajdhani train number 2431 starts from Trivandrum Central and covers the longest distance among the given options. This means it travels the farthest distance compared to the other Rajdhani trains mentioned.
Option 3: Rajdhani train number 2435 starts from Dibrugarh Town. Although it covers a particular distance, it is not the longest distance among the given options.
Option 4: Rajdhani train number 2429 starts from Bangalore City Junction, but it does not cover the longest distance among the given options.
Therefore, the correct answer is Option 2, which states that Rajdhani train number 2431 starting from Trivandrum Central covers the longest distance among the given Rajdhani trains.