Twenty_questions.docx

TWENTY QUESTIONS A logic puzzle by Don Woods Instructions: - Answer all 20 questions (each with a letter from A to E). - Wherever a question refers to an answer or answers, it means YOUR answers, not some hypothetical "best" or "right" answers. - Your score is the number of questions whose answers are correct. - Your goal is to achieve as high a score as possible. 1. The (A) (B) (C) (D) (E)

first question whose answer is A is: 1 2 3 4 5

2. The (A) (B) (C) (D) (E)

next question with the same answer as this one is: 4 6 8 10 12

3. The are (A) (B) (C) (D) (E)

only two consecutive questions with identical answers questions: 15 and 16 16 and 17 17 and 18 18 and 19 19 and 20

4. The answer to this question is the same as the answers to questions: (A) 10 and 13 (B) 14 and 16 (C) 7 and 20 (D) 1 and 15 (E) 8 and 12 5. The (A) (B) (C) (D) (E)

answer to question 14 is: B E C A D

6. The (A) (B) (C) (D)

answer to this question is: A B C D

(E) none of the above 7. The (A) (B) (C) (D) (E)

answer that appears most often (possibly tied) is: A B C D E

8. Ignoring those that occur equally often, the answer that appears least often is: (A) A (B) B (C) C (D) D (E) E 9. The sum of all question numbers whose answers are correct and the same as this one is in the range: (A) 59 to 62, inclusive (B) 52 to 55, inclusive (C) 44 to 49, inclusive (D) 61 to 67, inclusive (E) 44 to 53, inclusive 10. The (A) (B) (C) (D) (E)

answer to question 17 is: D B A E wrong

11. The (A) (B) (C) (D) (E)

number of questions whose answer is D is: 2 3 4 5 6

12. The one (A) (B) (C) (D) (E)

number of OTHER questions with the same answer as this is the same as the number of questions with answer: B C D E none of the above

13. The (A) (B) (C) (D)

number of questions whose answer is E is: 5 4 3 2

(E) 1 14. There is no answer that appears exactly: (A) two times (B) three times (C) four times (D) five times (E) none of the above 15. The (A) (B) (C) (D) (E)

first even-numbered question whose answer is C is: 8 6 4 2 none of the above

16. The answer to question 8 is the same as the answer to question: (A) 3 (B) 2 (C) 13 (D) 18 (E) 20 17. The (A) (B) (C) (D) (E)

answer to question 10 is: C D B A correct

18. The are (A) (B) (C) (D) (E)

number of prime-numbered questions whose answers vowels is: prime square odd even zero

19. The (A) (B) (C) (D) (E)

last question whose answer is B is: 14 15 16 17 18

20. The (A) (B) (C) (D) (E)

maximum score that can be achieved on this test is: 18 19 20 indeterminate achievable only by getting this question wrong