COS1501- Theoretical Computer Science Update (2024) Questions with Complete Answers Guaranteed Pass 100%

COS1501- Theoretical Computer Science Update (2024) Questions with Complete Answers Guaranteed Pass 100% {x| x ∈ Z, 0 ≤ x < 8} ⋂ {x| x ∈ R, 4 ≤ x < 16} is the set: a.{x| x ∈ R, 4 ≤ x < 8} b.{x| x ∈ Z, 0 ≤ x ≤ 8} c.{x| x ∈ Z, 0 ≤ x ≤16} d.{4, 5, 6, 7} - Answer d.{4, 5, 6, 7} A proper subset of a set always has less elements than the set itself. True or False - Answer True An element of a set cannot be a set itself. True or False - Answer False based on set A = {1, 4, {4}, {{1}, 5}} Which one of the following is NOT a partition on A? 1. {{1, {4}}, {4}, {{{1}, 5}}} 2. {{1, 4, {{1}, 5}}, {4}} 3. {{{4}, {{1}, 5}}, {1, 4}} 4. {{1}, {4}, {{{1}, 5}, {4}}} - Answer 2. {{1, 4, {{1}, 5}}, {4}} based on set A = {1, 4, {4}, {{1}, 5}} Which one of the following relations is NOT a valid relation on A? 1. {(1, 4), ({4}, 1)} 2. {({1}, 5), ({4}, 4)} 3. {({4}, {{1}, 5}), (1, 1), ({4}, 1)} 4. {({4}, {4})} - Answer 2. {({1}, 5), ({4}, 4)} based on set A = {1, 4, {4}, {{1}, 5}} Which one of the following statements provides a proper subset of A? 1. {{1, 4 ,{4}}} 2. {1, {4}} 3. {1, 4, {4}, {{1}, 5}} 4. {{1}, 5} - Answer 2. {1, {4}} based on set A = {1, 4, {4}, {{1}, 5}}