UPSC Prelims 2012·CSAT·Logical Reasoning·Deductive Logic

Ten new TV shows started in January-5 sitcoms, 3 drama and 2 news magazines. By April, only seven of the new shows were still on, five of them being sitcoms. Based on the above information, four conclusions, as given below, have been made. Which one of these logically follows from the information given above?

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  1. AOnly one news magazine show is still on
  2. BOnly one of the drama shows is still on
  3. CAt least one discontinued show was a dramaCorrect
  4. DViewers prefer sitcoms over drama

Explanation

To arrive at the correct answer, we must compare the shows started in January with those remaining in April. In January, there were 10 shows: 5 sitcoms, 3 dramas, and 2 news magazines. By April, only 7 shows remained. Crucially, the information states that 5 of these remaining shows were sitcoms. Since all 5 original sitcoms are still on the air, all 3 discontinued shows must come from the other two categories: drama and news magazines. There were 3 drama shows and 2 news magazines initially, making a total of 5 non-sitcom shows. Since 3 of these 5 shows were discontinued, it is mathematically impossible for both news magazines to be the only shows cancelled. Even if both news magazines were discontinued, at least one drama show must have been discontinued to reach the total of three cancelled shows. Option A and B are incorrect because we do not have the exact breakdown of which specific non-sitcom shows were cut. Option D is incorrect because the data describes survival rates, not viewer preferences. Therefore, conclusion C is the only one that logically must be true.
Logical Reasoning: Ten new TV shows started in January-5 sitcoms, 3 drama and 2 news magazines. By April, only seven of the new shows were

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