My favourite logic puzzle
For a good couple of years, I carried around a print out of this puzzle in my purse. It was my constant companion on flights and I spent who knows how many dozens of hours trying to work it out. May it bring you as many hours of pleasure and frustration as it brought me!
1. The first question whose answer is (B) is —
(A) 1 — (B) 2 — (C) 3 — (D) 4 — (E) 5
2. The only two consecutive questions with identical answers are —
(A) 6 & 7 — (B) 7 & 8 — (C) 8 & 9 — (D) 9 & 10 — (E) 10 & 11
3. The number of questions with answer (E) is —
(A) 0 — (B) 1 — (C) 2 — (D) 3 — (E) — 4
4. The number of questions with answer (A) is —
(A) 4 — (B) 5 — (C) 6 — (D) 7 — (E) 8
5. The answer to this question is the same as the answer to question —
(A) 1 — (B) 2 — (C) 3 — (D) 4 — (E) 5
6. The answer to question 17 is —
(A) C — (B) D — (C) E — (D) none of the above — (E) all of the above
7. Alphabetically, the answer to this question and the answer to the following question are —
(A) 4 apart — (B) 3 apart — (C) 2 apart — (D) 1 apart — (E) the same
8. The number of questions whose answers are vowels is —
(A) 4 — (B) 5 — (C) 6 — (D) 7 — (E) 8
9. The next question with the same answer as this one is question —
(A) 10 — (B) 11 — (C) 12 — (D) 13 — (E) 14
10. The answer to question 16 is —
(A) D — (B) A — (C) E — (D) B — (E) C
11. The number of questions preceding this one with the answer (B) is —
(A) 0 — (B) 1 — (C) 2 — (D) 3 — (E) 4
12. The number of questions whose answer is a consonant is —
(A) an even number — (B) an odd number — (C) a perfect square — (D) a prime — (E) divisible by 5
13. The only odd numbered problem with answer (A) is —
(A) 9 — (B) 11 — (C) 13 — (D) 15 — (E) 17
14. The number of questions with answer (D) is —
(A) 6 — (B) 7 — (C) 8 — (D) 9 — (E) 10
15. The answer to question 12 is —
(A) A — (B) B — (C) C — (D) D — (E) E
16. The answer to question 10 is —
(A) D — (B) C — (C) B — (D) A — (E) E
17. The answer to question 6 is —
(A) C — (B) D — (C) E — (D) none of the above — (E) all of the above
18. The number of questions with answer A equals the number of questions with answer —
(A) B — (B) C — (C) D — (D) E — (E) none of the above
19. The answer to this question is —
(A) A — (B) B — (C) C — (D) D — (E) E
20. Standardized test : intelligence :: barometer : —
(A) temperature (only) — (B) wind velocity (only) — (C) latitude (only) — (D) longitude (only) — (E) temperature, wind velocity, latitude and longitude
From: http://jd2718.wordpress.com/2007/02/23/content-free-test/ Visit there to see a discussion about the answers. There is a unique solution, and I have solved it.
If you stumble across any other puzzles like this, please let me know! This is my favourite kind of puzzle, and as you can imagine, they’re not easy to find.
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