#1
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If You\'re Bored : Puzzle
I've been kind of meaning to do this for a while when I have the chance, and I'm not doing much today 'cause I have to wait around for my carpet cleaners to do their thing, so I might fiddle with it.
You may only choose one answer per question. There is a unique solution. 1. The first question whose answer is B is question (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 2. The only two consecutive questions with identical answers are questions (A) 6 and 7 (B) 7 and 8 (C) 8 and 9 (D) 9 and 10 (E) 10 and 11 3. The number of questions with the answer E is (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 4. The number of questions with the 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. The answer to question 20 is (A) E (B) E (C) E (D) E (E) E GoT |
#2
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Re: If You\'re Bored : Puzzle
Edit to put answer in white
<font color="white">Answer: Not Satisfiable Reason: [ QUOTE ] <font color="white"> 10. The answer to question 16 is (A) D (B) A (C) E (D) B (E) C 16. The answer to question 10 is (A) D (B) C (C) B (D) A (E) E [/ QUOTE ] 10: A 16: D is the only thing that works here And [ QUOTE ] <font color="white"> 6. The answer to question 17 is (A) C (B) D (C) E (D) none of the above (E) all of the above 17. The answer to question 6 is (A) C (B) D (C) E (D) none of the above (E) all of the above [/ QUOTE ] 6 and 17: D is the only thing that works here. So 16 and 17 are both D necessarily, but: [ QUOTE ] <font color="white"> 2. The only two consecutive questions with identical answers are questions (A) 6 and 7 (B) 7 and 8 (C) 8 and 9 (D) 9 and 10 (E) 10 and 11 [/ QUOTE ] Forbids 16 and 17 from being the same. Ergo there is no solution that satisfies the constraints. </font> |
#3
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Re: If You\'re Bored : Puzzle
[ QUOTE ]
<font color="white"> 6. The answer to question 17 is (A) C (B) D (C) E (D) none of the above (E) all of the above 17. The answer to question 6 is (A) C (B) D (C) E (D) none of the above (E) all of the above [/ QUOTE ] 6 and 17: D is the only thing that works here. So 16 and 17 are both D necessarily, No, if 6 is D then 17 is B. The answer to 6 is B and the answer to 17 is D. edit: I think I am wrong, F this puzzle. |
#4
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Re: If You\'re Bored : Puzzle
Doh!!!
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#5
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Re: If You\'re Bored : Puzzle
But then...
<font color="white"> Doesn't that mean there is no solution to the 6/17 pair? A -> C -> E vioaltion B -> D -> None of the above Oh wait... </font> I'm an idiot. |
#6
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Re: If You\'re Bored : Puzzle
In white:
<font color="white"> 1. D 2. A 3. D 4. B 5. E 6. D 7. D 8. E 9. D 10. A 11. B 12. A 13. D 14. B 15. A 16. D 17. B 18. A 19. B 20. E </font> Good puzzle. Edit: Pwnt. |
#7
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Re: If You\'re Bored : Puzzle
[ QUOTE ]
In white: <font color="white"> 1. D 2. A 3. D 4. B 5. E 6. D 7. D 8. E 9. D 10. A 11. B 12. A 13. D 14. B 15. A 16. D 17. B 18. A 19. B 20. E </font> Good puzzle. Edit: Pwnt. [/ QUOTE ] Bah beat me to it. But my answer matches yours [img]/images/graemlins/wink.gif[/img] |
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