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Explanation:

Here, the link of batch 2 with batch 1 and batch 3 needs to be found to solve each question. 

Denote the letters of the input by numbers 1-8 from left to right and map then for passcode of each step, as shown:

Observe that a certain movement pattern is followed by between Input and Batch 1 and a completely different pattern is followed between Batch 3 and Batch 4. 

Since there does not seem to be a correlation between the position of any number from Input up to Batch 4, there is a possibility that Input-B1 and B2-B3 follows one common pattern (say X) and B1-B2 and B3-B4 follows another common pattern (say Y). To test this, apply the B3-B4 pattern on B1 to get B2. Now, check whether applying Input-B1 on B2 gives the same outcome as B3. It does, as shown below: 

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Now, the batch timings are: Batch 1 (9:30 to 10:30); Batch 2 (10:30 to 11:30); Batch 3 (11:30 to 12:30) and Batch 4 (12:30 to 1:30). 

The period from 1:30 to 2:30 is a break, and the next batch starts again at 2:30. 

The batch just before the rest hour was batch 4. Its pass code corresponds to 75862413. Hence, the input corresponds to 12345678. 

The corresponding words are: any have wool you bah sheep bah black. 

Hence, option (b).

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