This was circulating about the math department last semester and I thought some of you might enjoy it. Good luck.(adsbygoogle = window.adsbygoogle || []).push({});

The solution to the following puzzle is unique; in some cases the knowledge that the solution is unique may actually give you a short-cut to finding the answer to a particular question, but it's possible to find the unique solution even without making use of the fact that the solution is unique.

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

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# A Logic Puzzle

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