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Discrete Math 2nd sem (prelims) BSIT 205

Discrete Math 2nd sem (prelims) BSIT 205
36 questions • 2 y ago
  • Xai Alexandrei Delos Reyes
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    Question list

  • 1

    It is a declarative sentence that is either false or true (NOT both)

    Proposition

  • 2

    What is the FIRST BASE for Propositional Logic

    Law of Identity or "Logical Identity"

  • 3

    What is the SECOND BASE for Propositional Logic

    Law of Excluded Middle

  • 4

    What is the THIRD BASE for Propositional Logic

    Law of Non-Contradiction

  • 5

    Elephants are bigger than mice. Is this statement a proposition? If yes, what is the truth value

    Yes, True

  • 6

    It is a new proposition constructed by combining one (1) or more existing propositions

    Compound Proposition

  • 7

    The symbol for negation is...

    ¬

  • 8

    Given p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! What is s ^ p

    Welcome to the Philippines and Mindanao is an Island in the Philippines.

  • 9

    p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! What is ¬ r -> q

    If my seatmate will not get a perfect score in the logic exam, then find a number which divides your age.

  • 10

    p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! what is ¬ p v ¬ r

    Mindanao is not an island in the Philippines or My seatmate will not get a perfect score in the Logic Exam.

  • 11

    Order of Logical Precedence: 1.) Negation 2.) Disjunction 3.) Conjunction 4.) Implication 5.) Bi-conditional Is this precedence correct?

    No

  • 12

    p -> q becomes q - > p What Related Implications is this?

    Converse

  • 13

    p -> q becomes ¬ q - > ¬ p What Related Implications is this?

    Contrapositive

  • 14

    p -> q becomes ¬ p - > ¬ q What Related Implications is this?

    Inverse

  • 15

    It is any statement that is TRUE regardless of the truth values of the constituent parts

    Tautology

  • 16

    It is any statement that is FALSE regardless of the truth values of the constituent parts

    Contradiction

  • 17

    It is any statement that is NEITHER a tautology NOR a contradiction

    Contingency

  • 18

    These are two (2) different compound propositions that have EXACTLY the SAME/IDENTICAL truth value in every model

    Logically Equivalent

  • 19

    Which statement is FALSE about a Proposition

    Gives a command

  • 20

    p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! What is q ⊕ r

    Either My seatmate will get a perfect score in the Logic exam or Find a number which divides your age.

  • 21

    p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! What is p ↔ q

    Mindanao is an island in the Philippines if and only if You find a number which divides your age

  • 22

    It is not included in the parenthesis.

    Major Connective

  • 23

    Change the statement according to precedence ¬p ^ q

    (¬p) ^ q

  • 24

    Change the statement according to precedence p ^ q ^ r ^ s

    (p ^ q) ^ r) ^ s)

  • 25

    Change the statement according to precedence p ^ q -> q v p

    (p ^ q) -> (q v p)

  • 26

    Change the statement according to precedence p -> q -> r -> s

    (p -> (q -> (r -> s)

  • 27

    420 < 69 Is this statement a proposition? If yes, what is the truth value

    Yes, False

  • 28

    Please do not run away Is this statement a proposition? If yes, what is the truth value

    No

  • 29

    (p ^ q) -> (q v p) What is the major connective?

    ->

  • 30

    (¬p) ^ q What is the major connective?

    ^

  • 31

    Prove that p v ¬q is a tautology

    It is not a tautology, but a contingency

  • 32

    Prove that (p v q) v [(¬p) ^ (¬q)] is a tautology

    It really is a tautology

  • 33

    Prove that p v ¬p is a contradiction

    It is not a contradiction, but a tautology

  • 34

    Prove that (p v q) ^ [(¬p) ^ (¬q)] is a contradiction

    It really is a contradiction

  • 35

    Prove that q v ¬( p -> q) is a contradiction

    It is not a contradiction, but a contingency

  • 36

    Prove that q v ¬( p -> q) is a contradiction

    It is not a contradiction, but a contingency

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    Question list

  • 1

    It is a declarative sentence that is either false or true (NOT both)

    Proposition

  • 2

    What is the FIRST BASE for Propositional Logic

    Law of Identity or "Logical Identity"

  • 3

    What is the SECOND BASE for Propositional Logic

    Law of Excluded Middle

  • 4

    What is the THIRD BASE for Propositional Logic

    Law of Non-Contradiction

  • 5

    Elephants are bigger than mice. Is this statement a proposition? If yes, what is the truth value

    Yes, True

  • 6

    It is a new proposition constructed by combining one (1) or more existing propositions

    Compound Proposition

  • 7

    The symbol for negation is...

    ¬

  • 8

    Given p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! What is s ^ p

    Welcome to the Philippines and Mindanao is an Island in the Philippines.

  • 9

    p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! What is ¬ r -> q

    If my seatmate will not get a perfect score in the logic exam, then find a number which divides your age.

  • 10

    p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! what is ¬ p v ¬ r

    Mindanao is not an island in the Philippines or My seatmate will not get a perfect score in the Logic Exam.

  • 11

    Order of Logical Precedence: 1.) Negation 2.) Disjunction 3.) Conjunction 4.) Implication 5.) Bi-conditional Is this precedence correct?

    No

  • 12

    p -> q becomes q - > p What Related Implications is this?

    Converse

  • 13

    p -> q becomes ¬ q - > ¬ p What Related Implications is this?

    Contrapositive

  • 14

    p -> q becomes ¬ p - > ¬ q What Related Implications is this?

    Inverse

  • 15

    It is any statement that is TRUE regardless of the truth values of the constituent parts

    Tautology

  • 16

    It is any statement that is FALSE regardless of the truth values of the constituent parts

    Contradiction

  • 17

    It is any statement that is NEITHER a tautology NOR a contradiction

    Contingency

  • 18

    These are two (2) different compound propositions that have EXACTLY the SAME/IDENTICAL truth value in every model

    Logically Equivalent

  • 19

    Which statement is FALSE about a Proposition

    Gives a command

  • 20

    p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! What is q ⊕ r

    Either My seatmate will get a perfect score in the Logic exam or Find a number which divides your age.

  • 21

    p: Mindanao is an island in the Philippines. q: Find a number which divides your age. r: My seatmate will get a perfect score in the Logic exam. s: Welcome to the Philippines! What is p ↔ q

    Mindanao is an island in the Philippines if and only if You find a number which divides your age

  • 22

    It is not included in the parenthesis.

    Major Connective

  • 23

    Change the statement according to precedence ¬p ^ q

    (¬p) ^ q

  • 24

    Change the statement according to precedence p ^ q ^ r ^ s

    (p ^ q) ^ r) ^ s)

  • 25

    Change the statement according to precedence p ^ q -> q v p

    (p ^ q) -> (q v p)

  • 26

    Change the statement according to precedence p -> q -> r -> s

    (p -> (q -> (r -> s)

  • 27

    420 < 69 Is this statement a proposition? If yes, what is the truth value

    Yes, False

  • 28

    Please do not run away Is this statement a proposition? If yes, what is the truth value

    No

  • 29

    (p ^ q) -> (q v p) What is the major connective?

    ->

  • 30

    (¬p) ^ q What is the major connective?

    ^

  • 31

    Prove that p v ¬q is a tautology

    It is not a tautology, but a contingency

  • 32

    Prove that (p v q) v [(¬p) ^ (¬q)] is a tautology

    It really is a tautology

  • 33

    Prove that p v ¬p is a contradiction

    It is not a contradiction, but a tautology

  • 34

    Prove that (p v q) ^ [(¬p) ^ (¬q)] is a contradiction

    It really is a contradiction

  • 35

    Prove that q v ¬( p -> q) is a contradiction

    It is not a contradiction, but a contingency

  • 36

    Prove that q v ¬( p -> q) is a contradiction

    It is not a contradiction, but a contingency