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

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:D 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>

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:D 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.

Re: If You\'re Bored : Puzzle
 

Doh!!!

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 -&gt; C -&gt; E vioaltion
B -&gt; D -&gt; None of the above Oh wait...
</font>

I'm an idiot.

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.

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]

Very elegant puzzle along same lines