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The Barg's Self-Referential Logic Puzzle - Medium
The following questions refer only to themselves and each other. No outside knowledge is required, but that does not make it easy. Good luck!
[A] denotes the total quantity of questions whose answer is A. Likewise for [B], [C], and [D].
All truth values are exclusive, ie, in no question is there more than one correct answer.
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Last updated: March 9, 2024
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| First submitted | November 7, 2023 |
| Times taken | 108 |
| Average score | 53.3% | Report this quiz | Report |
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1. Which question is the first to have A as the correct answer?
2, 3, and 4 are all ruled out by not having A as their answer.
(A) 1
(B) 2
(C) 3
(D) 4
2. Which question is the first to have B as the correct answer?
13 and 15 imply that [D] = 6, and without 2 the maximum value of [D] would be 5.
(A) 1
(B) 2
(C) 3
(D) 4
3. Which question is the last to have C as the correct answer?
See 15.
(A) 12
(B) 13
(C) 14
(D) 15
4. Which question is the last to have D as the correct answer?
15 rules out C and D. See 13.
(A) 12
(B) 13
(C) 14
(D) 15
5. Which is the first pair of questions to share the same answer?
See 10.
(A) 4 and 5
(B) 3 and 4
(C) 2 and 3
(D) 1 and 2
6. What is the answer to question 12?
(A) D
(B) B
(C) C
(D) A
7. [D] = ?
13 and 15 imply that [D] = 6, and without 7 the maximum value of [D] would be 5.
(A) [A]
(B) [B]
(C) [C]
(D) None of the above
8. How many unique letters exist in the answers to perfect square questions?
D is impossible, C is ruled out by 15, and A is ruled out by 1 and 4 not having the same answer.
(A) 1
(B) 2
(C) 3
(D) 4
9. [B] = ?
A is ruled out by 7, C is ruled out by 15, and D is ruled out by 2.
(A) 6
(B) 4
(C) 2
(D) 0
10. How many unique letters exist in the answers to the first three questions?
A is impossible. 11 tells us that this answer must be the same answer as 5. 5B and 10B contradict each other, as do 5D and 10D.
(A) 0
(B) 1
(C) 2
(D) 3
11. Which of the following sets all share the same answer?
This is the first step. A is wrong because it would imply 2 and 3 would also be A, which would mean 5 cannot be A. 6 and 12 being nonequivalent rule out B and C.
(A) Prime numbers
(B) Even numbers
(C) Multiples of 3
(D) Multiples of 5
12. What is the answer to question 6?
15 implies that 6 and 12 must be A and D, but the order is fixed only after 9 implies 14B.
(A) D
(B) C
(C) B
(D) A
13. [D] - [C] = ?
By 15, [C] = 3. The maximum value of [D] after evaluating questions 11, 5, 10, 15, and 3 is 6: at most one of 1 and 2, 3, exactly one of 6 and 12, 7, 11, 13. Thus [D] - [C] is at most 3.
(A) 6
(B) 5
(C) 4
(D) 3
14. What is the answer to question 12?
C is ruled out by 15, and D is ruled out by 4C (indirectly by 15). B is implied by 9 (there are no other places for the fourth B to go).
(A) D
(B) A
(C) B
(D) C
15. [C] = ?
11 tells us that 5, 10, and 15 must share an answer. See 10 for why this answer is C. Thus, C is ruled out of every question that is not 5, 10, or 15.
(A) 1
(B) 2
(C) 3
(D) 4
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1 Comments
mightythor
+3
Level 67
Nov 9, 2023
Nice job. Took me an hour+, I think. 20 min. b4 bed with a spreadsheet to get the first few, and then another session to finish. Long enough that it's not easy, but not so long as to want to give up.
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