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MATHEMATICAL REASONING PART 1
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MATHEMATICAL REASONING PART 1
QUIZ
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MATHEMATICAL REASONING
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MATHEMATICAL REASONING PART 1
1.
Logical equivalent proposition to the proposition ̴ (p ˅q) is
̴ p ^ ̴ q
̴ p ˅ ̴ q
̴ p → ̴ q
̴ p ↔ ̴ q
2.
Let p and q be two propositions. Then the inverse of the implication p → q is ?
q → p
̴ p → ̴ q
q→ p
̴ q → ̴ p
3.
Let p and q be two propositions, then the contra positive of the implication p → q is.
̴ q → ̴ p
̴ p → ̴ q
q → p
p ↔ q
4.
If p and q are two simple propositions, then p → q is false when.
P is true and q is true
P is false and q is true
P is true and q is false
Both p and q are false
5.
If p and q are two simple propositions, then p ↔ ̴ q is true when.
P and q both are true
Both p and q are false
P is false and q is true
None of these
6.
For any three propositions p,q and r the proposition (p ^q) ^ (q ^ r) is true when
P,q, r are all false
P , q, r are all true
P,q are true and r is false
P is true and q and r are false
7.
If p and q are two propositions, then ̴ (p ↔ q) is
̴ p^ ̴ q
̴ p ˅ ̴ q
(p ^ ̴ q) ˅ ( ̴ p ^ q )
None of these
8.
P ^ (q ^ r) is logically equivalent to
P ˅ (q ^ r )
(p ^ q) ^ r
(p ˅ q ) ˅ r
P→ (q ^ r)
9.
̴ ( ̴ p) ↔ p is
A tautology
A contradiction
Neither a contradiction nor a tautology
None of these
10.
Which of the following Is logically equivalent to ̴ ( ̴ p →q) ?
p ^ q
p ^ ̴ q
̴ p ^ q
̴ p ^ ̴ q
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