Discrete Mathematics Questions

1. Question: Given the statement, If a and b are integers then a times b is an integer. This statement:
• If a times b is not an integer then a and b are not integers
is which of the following?
A Converse
B Negation
C Contrapositive

2. Question: If the universal set is U = { 1, 2, …, 9, 10 } and A = { 1, 4, 7, 10 } and B = { 1, 2, 3, 4, 5 } and C= { 2, 4, 6, 8 } then which of the following represents the set U \ (A ⊕ B)?
A { 2, 6, 8 }
B { 1, 4, 6, 8, 9 }
C { 7, 10 }
D { 3, 4, 5, 8 }

3. Question: Determine using truth tables whether the following proposition is one of the following:
• [p ^ (¬ q)] ^ [(¬ p) v q]
A Tautology
B Contradiction
C Neither

4. Question: Is the following statement a false proposition?
• Statement: If x = 2, then 4 + x = 5
A Yes
B No

1. The answer is option C.
2. The answer is option B....

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