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04-BS-16: Undated paper

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  1. Question 1
  2. Question 2
  3. Question 3
  4. Question 4
  5. Question 5
  6. Question 6
  7. Question 7
  8. Question 8
  9. Question 9
  10. Question 10
  11. Question 11
  12. Question 12

Start with Question 1 →

National Examination, 04-BS-16 Discrete Mathematics, undated sitting (May 2019). Closed book; approved Casio or Sharp calculator only. The exam instructs "answer 10 of the 12 questions"; every question is answered below as a complete study resource.

Source note: This paper is the May 2019 sitting (every page footer reads "04-BS-16/May 2019"). Two printed statements are defective as set and are flagged where they occur: Question 7(a) prints the last term of $\{1,5,9,\dots\}$ as $4n-1$ (the pattern and the stated sum require $4n-3$), and Question 8(b) prints "$n>2$" although $4^n>n^4$ fails at $n=3,4$. Question 12(c)'s parameters also make a connected graph impossible; this is noted at that part.

Reference texts: Rosen, Discrete Mathematics and Its Applications, 7th ed. (Pearson) — used throughout for logic, set theory, functions, combinatorics, probability, induction, asymptotic (Big-O) notation, and graph theory.