A witness in a trial testified that he searched 13 cars, of which 11 were conver

Question

A witness in a trial testified that he searched 13 cars, of which 11 were convertibles 12 had out-of-state plates, and 5 were convertibles with out-of-state plates. Explain why the witness was not telling the truth. The actual number of convertibles would have to be 6, which does not agree with the witness' testimony that 11 cars were convertibles. The actual number of cars he searched was 23, which does not agree with the witness' testimony that he searched 13 cars The actual number of cars he searched was 18, which does not agree with the witness' testimony that he searched 13 cars The actual number of convertibles with out-of-state plates would have to be 11, which does not agree with the witness' testimony that 5 convertibles had out-of-state plates.

Explanation / Answer

The witness had searched 13 cars. Of these, 12 had out of state plates. This leaves, only 1 car which did not have out of state plates. Further, of these 12 cars with out of state plates, 5 were convertibles. This means that the total number of converibles cannot exceed 5 +1 = 6. This implies that the witness is not telling the truth.

The 1st option is closest to the truth. We say closest, because, the number of convertibles can also be 5

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