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The Exam (Posted on 2023-08-31) Difficulty: 3 of 5
Five students Adele, Betty,Carol, Doris, and Ellen- answered five questions on an exam consisting of two multiple-choice (a,b,c) questions and three true-or-false questions.

(1) They answered the questions as follows:

       I     II.    III.    IV.     V
Adele. a      a      t       t      t
Betty. b      b      t       f      t
Carol. a      b      t       t      f
Doris. b      c      t       t      f
Ellen. c      a      f       t      t
(2) No two students got the same number of correct answers.
Who got the most correct answers?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution | Comment 2 of 7 |
answers=['aattt';'bbtft';'abttf';'bcttf';'caftt'];
students='ABCDE';
for a1='a':'c'
  for a2='a':'c'
    for a3='ft'
      for a4='ft'
        for a5='ft'
          a=[a1 a2 a3 a4 a5];
          for p=1:5
            score(p)=sum(answers(p,:)==a);            
          end
          if length(unique(score))==5
            disp(a)
            disp(score)
          end
        end
      end
    end
  end
end

finds

>> theExam
bctff
     1     3     2     4     0
>> 

meaning the correct answers were b, c, true, false, false, and that D had the most correct answers, 4. B had the second most, 3; C, the thifd most, 2; A had 1 correct and E had none right.

  Posted by Charlie on 2023-08-31 09:07:10
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