Question

If w ₁ is the weight with cargo of a ship of length l ₁ and w ₂ are w ₃ the corresponding weights of ships having lengths I ₂ and l ₃ respectively, then Statement 1: The weight of an empty ship varies as the square of the length of the ship. Statement 2: The weight of the ship’s cargo varies as the cube of the length of the ship. Statement 3: The weight of the ship with cargo varies as the sixth power of the length of the ship.

A Statement 1 and Statement 2 taken together are sufficient.
B Statement 1 and Statement 3 taken together are sufficient.
C All the three statements together need to be true for sufficiency.
D Statement 2 and Statement 3 taken together are sufficient.
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