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Multiple Choice Test (Posted on 2003-06-07)

Select the correct answer to each question.

1. The correct answer to Question 2 is
A. B
B. C
C. D
D. A

2. The correct answer to Question 4 is
A. D
B. C
C. A
D. B

3. The first question for which C is the correct answer is
A. 4
B. 2
C. 3
D. 1

4. The number of questions for which B is the correct answer is
A. 1
B. 2
C. 3
D. 4

5. The number of even-numbered questions for which either B or C is the correct answer is
A. 1
B. 3
C. 0
D. 2

6. The last question for which A is the correct answer is
A. 6
B. 7
C. 5
D. 8

7. The number of instances where D is the correct answer for two consecutive questions is
A. 2
B. 0
C. 1
D. 3

8. The only letter which is the correct answer to exactly three questions is
A. C
B. D
C. B
D. A

Submitted by Bryan

Rating: 4.4091 (22 votes)

Solution: (Hide)

Question 1 refers to Question 2, which refers to Question 4, so start with Question 4 and assume an answer (I started with A).
If 4A then 2C then 1B then 3B which violates 4A, so A is not the correct answer for Question 4.
If 4C then 2B then 1A then 3A, also
if 4C then 8C then 5B then 7B then 6A which violates 8C.
If 4D then 2A then 1D then 3C. 6 requires at least one of the last four answers to be A, so 4D violated.
By elimination, the answer to 4 must be B.
If 4B then 2D then 1C then 3D.
At this point, the answer to Question 7 cannot be B (0) or D (3).
If 7A then both 5D and 6D, which violates 8.
The answer to Question 7 must be C.
If 5A then 6D then 8A which violates 8A!
If 5B then 6 is violated.
5C already violated.
The answer to Question 5 must be D. If 5D then 6A then 8B.
The answer key to the multiple choice test must be:
1. C
2. D
3. D
4. B
5. D
6. A
7. C
8. B

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Are you shure?	Link	2007-05-26 02:24:56
brain teaza	simone	2005-06-15 18:28:10
deja vu	mike	2003-12-10 18:27:32
re: Solution	Lawrence	2003-08-24 17:07:34
Solution	Lawrence	2003-08-24 17:04:46
^-^	angela	2003-07-16 03:44:37
easier solution	Jackie	2003-06-09 05:46:53
re: DJ's Solution	Bryan	2003-06-08 09:13:59
HARD!	Tim Axoy	2003-06-08 02:43:35
re: Solution	DJ	2003-06-08 00:51:27
Solution	DJ	2003-06-08 00:47:42
re: Hint	Charlie	2003-06-07 09:23:15
Hint	Bryan	2003-06-07 08:16:24
re: Solution	DJ	2003-06-07 07:52:25
Solution	DJ	2003-06-07 07:50:40
What a good problem!	Gamer	2003-06-07 07:15:52
re: Brute force method.--solution	Charlie	2003-06-07 06:14:34
Brute force method.	Charlie	2003-06-07 06:12:31
Woah!	Pickels	2003-06-07 04:52:06

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