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Find the statement that must be true according to the given information. Ten new television shows appeared during the month of September. Five of the shows were sitcoms, three were hour-long dramas,…

Question and options

Find the statement that must be true according to the given information.
Ten new television shows appeared during the month of September. Five of the shows were sitcoms, three were hour-long dramas, and two were news-magazine shows. By January, only seven of these new shows were still on the air. Five of the shows that remained were sitcoms.
  1. Only one of the news-magazine shows remained on the air
  2. Only one of the hour-long dramas remained on the air
  3. At least one of the shows that were cancelled was an hour-long drama
  4. Television viewers prefer sitcoms over hour-long dramas

Answer and explanation

Correct answer: C - At least one of the shows that were cancelled was an hour-long drama
7 shows remained and 5 were sitcoms, so only 2 non-sitcoms remained out of 5 (3 dramas + 2 news), and 3 non-sitcoms were cancelled. With only 2 news shows, at least one cancelled show must be a drama. 'Only one news-magazine show remained' and 'only one drama remained' are possible but not certain; the viewer-preference claim is not supported.

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