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Directions: The question given below is followed by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question. Mark your answer as per these codes: (a) Either (A) or (B) are sufficient. (B) Only (C) is sufficient. (c) Any two of the three statements are sufficient. (d) (A) and either (B) or (C) are sufficient. (e) All are necessary to answer the given question.

What is the length of the train if the length of the platform is 320 m more than the length of the train? (A) The time taken by the train to cross the platform is 8 sec. (B) The time taken by the train to cross the pole is 2 sec. (C) The speed of the train is 80 m/sec.

Let the length of the train be x meters, making the platform length x + 320 meters. Using the formula distance equals speed multiplied by time, statements A and B give the equations 2x + 320 = 8v and x = 2v, which can be solved together to find x. Alternatively, statements B and C provide the length directly as 80 multiplied by 2, which equals 160 meters. Finally, statements A and C give the total distance as 80 multiplied by 8, which equals 640 meters, so 2x + 320 equals 640, yielding x equals 160 meters; therefore, any two of the three statements are sufficient.

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