Question: There are three bottles of water — A, B, C, whose capacities are 5 L, 3 L, and 2 L respectively. For transferring water from one bottle to another and to drain out the bottles, there exists a piping system. The flow through these pipes is computer-controlled. The computer that controls the flow through these pipes can be fed with three types of instructions, as explained below.
Explanation of the instruction
Fill (X, Y)
Fill bottle labelled X from the water in bottle labelled Y, where the remaining capacity of X is less than or equal to the amount of water in Y.
Empty (X, Y)
Empty out the water in bottle labelled X into bottle labelled Y, where the amount of water in X is less than or equal to remaining capacity of Y.
Drain out all the water contained in bottle labelled X.
Initially, A is full with water, and B and C are empty.
After executing a sequence of three instructions, bottle A contains one litre of water. The first and the third of these instructions are shown below.
First instruction: FILL (C, A)
Third instruction: FILL (C, A)
Then which of the following statements about the instructions is true?
|The second instruction is FILL (B, A).|
|The second instruction is EMPTY (C, B).|
|The second instruction transfers water from B to C.|
|The second instruction involves using the water in bottle A.|
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