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  3. University Of South Africa (Unisa)
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  5. Theoretical Computer Science I (COS1501)

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COS1501 Exam Prep Past Paper Compilation
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  • April 18, 2024
  • 26
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

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COS1501


PAST PAPER
PRACTICE
QUESTIONS




2023/2024

, 2 COS1501
Practice fill-in exam



Suppose U = {a, b, c, d, {b, c}, {a, b, c}} is a universal set with the following subsets:

A = {a, b}, B = {b, c, {b, c}} and C = {b, {a, b, c}}.

Answer questions 1.1 to 1.8 using the given sets.

Question 1.1
Which one of the following sets represents A ∪ B ∪ C?

1. {b}
2. {a, b, c}
3. {a, b, c, {b, c}, {a, b, c}}
4. {a, {b, c}, {a, b, c}}

Question 1.2
Which one of the following sets represents A ∩ B ∩ C?

1. 0/
2. {b}
3. {a, b, c}
4. {b, c, {b, c}}

Question 1.3
Which one of the following sets represents A – C?

1. 0/
2. {b}
3. {a}
4. {a, {a, b, c}}




[TURN OVER]

, Question 1.4
Which one of the following sets represents U + B?

1. {b, c, {b, c}}
2. {a, {a, b, c}}
3. {a, d, {a, b, c}}
4. {a, b, c, d}

Question 1.5
Which one of the following sets represents C′?

1. {a, c, d, {b, c}}
2. {a, d, {b, c}}
3. {d, {b, c}}
4. {a, b, c, d}

Question 1.6
Which one of the following sets is a subset of Ƥ (C)?

1. {b}
2. {{a, b, c}}
3. {{{a, b, c}}}
4. {b, {a, b, c}}

Question 1.7
Let P = {(b, c), (b, a), (c, a), (a, a)} be a relation on U. Which one of the following statements
is true?

1. P is antisymmetric, but not transitive.
2. P is transitive, but not antisymmetric.
3. P is neither antisymmetric nor transitive.
4. P is antisymmetric and transitive.

Question 1.8

Let T = {(a, a), (b, b), (c, c), (a, c), (c, b)} be a relation on A ∪ B. Which one of the following
alternatives provides (an) ordered pair(s) that must be added to T to make it an equivalence
relation?

1. only (a, b)
2. only (a, b) & (c, a)
3. only (a, b), (c, a) & ( b, c)
4. Not one of the above alternatives provides all the ordered pairs that should be added.
[TURN OVER]

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