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 Logic Test (Posted on 2004-12-19)
Answer each of the 8 questions with a letter from A to D. The word "answer" in the test refers to YOUR answer, not some hypothetical "best" answer.

Score 1 point for each question answered correctly, 0 otherwise.

Keep re-taking the test, trying to get the highest possible score. (Of course you must know what the highest possible score is in order to correctly score the last question!)

(1) The next question with the same answer as this one is:
(A) 2 (B) 3 (C) 4 (D) 5

(2) The first question with answer C is:
(A) 1 (B) 2 (C) 3 (D) 4

(3) The last question with answer A is:
(A) 5 (B) 6 (C) 7 (D) 8

(4) The number of questions with answer D is:
(A) 1 (B) 2 (C) 3 (D) 4

(5) The answer occuring the most is: (if tied, first alphabetically)
(A) A (B) B (C) C (D) D

(6) The first question with the same answer as the question following it is:
(A) 2 (B) 3 (C) 4 (D) 5

(7) The answer occuring the least is: (if tied, last alphabetically)
(A) A (B) B (C) C (D) D

(8) The highest possible score on this test is:
(A) 5 (B) 7 (C) 6 (D) 8

 See The Solution Submitted by Jim Rating: 3.6250 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 Puzzle Solution With Explanation Comment 13 of 13 |

Let us consider Q2 which can have only two correct answers, A or D. If its A then it forces the following answers Q: 1 2 3 4 5 6 7 8 ; A: C A C D D D and now none of the four answers for Q3 will be consistent with the others. If the answer for Q2 is D then Q: 1 2 3 4 5 6 7 8  A: D C D This leaves us with B as the only choice for Q1, Q: 1 2 3 4 5 6 7 8 A: B D B C A D But this cannot give a score of 8 since the answer for Q6 is wrong. Thus a score of 8 is not possible.

Now, let us suppose that there is a solution with 7 correct. Either
8B is the right option or all the options inclusive of  8 are
incorrect. Let's try the latter path. Since it implies 1-7 are
correct, all of the logic in the 8-correct analysis still holds,
up to the point where 3D implies 8A. We have: 1C 2A 3D 4C 7B 8A are correct while5B  and 6B . By 4C we need two more Ds, so 5D and 6D. This turns out to be a consistent solution with Q8 being the only wrong answer.

Consequently, 1C-2A-3D-4C-5D-6D-7B-8A is the combination with the unique highest possible score of 7, and this has been achieved by answering the last question wrong.

Edited on May 31, 2007, 12:35 pm
 Posted by K Sengupta on 2007-05-31 10:50:07

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