A witness in a trial testified that he searched 21 cars of w

A witness in a trial testified that he searched 21 cars, of which 15 were convertibles, 16 had out-of-state plates, and 5 were convertibles with out-of-state plates. Explain why the witness was not telling the truth.

A. The actual number of cars he searched was 31, which does not agree with the witness\' testimony that he searched 21 cars.

B. The actual number of convertibles would have to be 10, which does not agree with the witness\' testimony that 15 cars were convertibles.

C. The actual number of convertibles with out-of-state plates would have to be 15, which does not agree with the witness\' testimony that 5 convertibles had out-of-state plates.

D. The actual number of cars he searched was 26, which does not agree with the witness\' testimony that he searched 21 cars.

Solution

The witness was not telling the truth because;

total would be 15+16-5 = 26 total cars so A is wrong.

If the convertibles would have to be 10 instead of 15 then it would be = 10+16-5 = 21.

So option B could be correct.

It is said that the actual number of convertibles with out-of-state plates would have to be 15

So the result would be = 15+16-15

                                 = 16 which is not correct as he searched for 21 cars

So option C is wrong.

given the actual number of cars he searched was 26

which is true as

= 15+16-5

= 26

so option D could be correct.