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Consider this argument: 'Whenever the shop runs a weekend offer, its takings for the week rise. The shop's takings rose last week. So the shop must have run a weekend offer.' Which of the following contains the same error in reasoning?

Competition practiceLogical / Critical
  • AWhenever the power fails the standby generator starts. The power has not failed, so the standby generator has not started.
  • BWhenever it rains heavily the pond overflows. The pond has overflowed, so it must have rained heavily.
  • CEvery driver on this route holds a valid licence. Salim drives on this route, so Salim holds a valid licence.
  • DThe library is open on every day except Monday. Today is Monday, so the library is closed.

Step-by-Step Solution

The original argues backwards from an outcome to one thing that would have produced it, ignoring that other things might have produced it too - takings can rise for many reasons. The pond argument repeats that mistake exactly, since an overflow could equally follow an upstream release. The first option is also faulty, but its error is the different one of denying the condition; the last two are valid.
Answer: B) Whenever it rains heavily the pond overflows. The pond has overflowed, so it must have rained heavily.

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