Two Exams

  1. Five students each answered five questions on an exam consisting of two multiple-choice questions (A, B or C) and three True-False questions. They answered the questions as follows:

    Student Q1 Q2 Q3 Q4 Q5
    a A A T T T
    b B B T F T
    c A B T T F
    d B C T T F
    e C A F T T

    No two students got the same number of correct answers. Who got the most correct answers?

  2. On a second exam, ten students answered five multiple-choice questions (A, B, C, D or E) and five True-False questions.  No two students got the same number of correct answers.  Determine who got the most correct answers.  They answered the questions as follows:

    Student Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10
    a C C B D D T F F F F
    b A C D E A F T F F F
    c A B E C B T F T T T
    d C D A E B T F F F F
    e C C E D A F T F F F
    f C E A C E F F T T T
    g A B A C E T F F T T
    h B B D C A T F F F F
    i E E C C B T T T T T
    j A B C C D F F F T T

Source: Reader Jimmy Chng Gim Hong.


Solution
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