Iggy's Logic Quiz 2

Answer: Firal Street

If the clubhouse is on Kayton Street, then the first statement is truthful, and the second statement has to be false. Since the clubhouse is only on one street, the last two statements must be true, which would result in three true statements. Therefore, the clubhouse is not on Kayton Street.

If the clubhouse is on Vilo Street, then the last statement must be false, the third statement must be true, and the first two statements must be false. We have a similar problem as the problem before, so the clubhouse is not on Vilo Street either.

If the clubhouse is on Firal street, then the second statement is true, the third statement is false, the last statement is true, and the first statement is false. There are two true statements and two false statements, so Firal is the only street that the clubhouse can be on.

Answer: Box B or Box C

The gold cannot be in box D, because whether the box is lying or truthful, it will contradict itself.
If the gold is in box A, then box B is truthful, and box A is lying. If box A is lying, then box D is truthful. If all that is true, then box C does not have a non-contradictory answer. The gold is not in box A or D.
If the gold is in box B, then box B must be lying, box A must be lying, and box D must be true. Box C does not contradict anything whether or not it is truthful. The gold can be in box B, and since we know the gold is not in box A, the only other choice is box C.

Answer: $1.50

This question can be modeled with (m+1)*2=n, where n is the number of dollars you earned one day after m. To check if $1.50 is correct, substitute it for m. (1.5+1)*2=n, n=5. $5 must be what you earned on June 26. Make the same equation, but this time substitute m with 5, and n with 12. (5+1)*2=12 is true, so $1.50 is the answer.

Answer: C & D

Statement A cannot be truthful, because that would result in statement B being truthful also, which would result in two true statements. Statement A must be lying, so statement B must be lying also. If statement B is lying, then statement C is telling the truth. So far, there is one true statement, C. Statement D can be true or false, but if it is false, then there is only one true statement, which results in statement A being true, which contradicts everything. Statement D has to be true, so the two true statements are statements C & D.

Answer: A

We know statement D is false because if it is true, then all four statements have to be true, which is impossible if statements B & C claim that there are false statements. Statement D is false.
Statement B cannot be true, because if it is, then statements A & C have to be true also, since statement D is false. This is contradictory, so statement B is false too.
Statement C is false too, because if it is true, then statement A would have to be true too, which is also contradictive.
Statements B, C, & D are false, so if there are three false statements, then statement A is true. Nothing is contradictive here.

Answer: none

Statement one cannot be true, because then the addition of the true statements would either be 1, 3, 4, or 6. Statement one is false.
Statement two cannot be true either, because if it was, then the addition of the false statements would have to be 3, but since statement one is already false, statement two would have to be false in order for the addition of the false statements to be 3. Statement two is false.
Statement three must be false also, because if it true, then the addition of the false statements would be 3, and that would make statement 2 be true, which would contradict itself. Statement 3 is false as well, so there are no true statements.

Answer: No

Man 3 would say, "I am the liar," man 2 would say "man 1 is the liar," but man 1 would say either, "man 2 is the liar," or "man 3 is the liar." You cannot be sure to get distinct answers from all three of them.

Answer: B

When statement B is true, it results in statement A being false, which results in statement D being false also. This results in more than one false statement, so statement B is the false one.

Answer: this cannot be figured out

If statement 1 is true, then statement 2 has to be true in order for the sum to be 3. In order for statement 2 to be true, statement 1 has to be false. Statement 1 must be false in order for it to be true. This is not possible, so statement 1 is false. So far, the sum of the false statements is 1.

This is exactly what statement 2 said, so most people would think statement 2 is true, and statement 1 is false. If you further examine this, statement 2 can be false as well. If both statements are false, then the sum of the false statements is not 1, and the sum of the true statements is not 3. Everything still works out when statement 2 is false, therefore, this question cannot be figured out.

Answer: C

If l is lie, and t is truth, the possible patterns for the boxes are: ltlt, and tltl. The gold is in box C because if it wasn't, then box C would be lying. When ever a box is lying, any boxes touching that box would have to be telling the truth. If box B and D were telling the truth, that would be impossible.

Therefore, box C is truthful, boxes B & D are lying, and box A is truthful as well.