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Explanation:

You can consider the six hexagonal places as 1-6 in clockwise order as shown below.

The washerwoman is followed by the hairdresser in clockwise direction. Hence, let the washerwoman and hairdresser be at places 1 and 2 respectively.

The hairdresser and Cinderella are adjacent to each other. Hence, Cinderella is either the washerwoman or on place 3, as shown below:

The plumber is between the tailor and Cinderella in clockwise direction. Hence, their clockwise order is: tailor-plumber-Cinderella.

Observe that this is not possible in the second figure, as the sequence there is: washerwoman-hairdresser-Cinderella.Hence, the second case is eliminated and Cinderella = washerwoman

Hence, to satisfy the tailor-plumber-Cinderella sequence, the tailor and plumber have to be at places 5 and 6 respectively.

Also, Ferida = plumber. Thus, the arrangement becomes:

Ana is not adjacent to the hairdresser or Cinderella. Hence, Ana cannot be on seats 3 and 6. Hence, Ana is at 4 or 5.

Since the tailor is adjacent to Ana, Ana cannot be the tailor. Hence, Ana is on seat 4.

From the above figure, seat 3 and Ana should be cook and carpenter (in no specific order). 

However, it is known that in anti-clockwise order, the sequence is cook-carpenter-Belle.

This is only possible if Ana = cook and Belle = hairdresser.

Now, Elsa can be the tailor or carpenter, as Elsa is adjacent the cook. Since the tailor is not adjacent to Elsa, Elsa is not the tailor. Hence, Elsa = carpenter and Diana = tailor.

Thus, the final arrangement is:

From the above figure, the carpenter is two places away from Diana. The other person who is two places away from Diana is Cinderella (the washerwoman).

Hence, option (b).

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