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10 questions
If p∧ q is false and p∨q is true , then which of the following is not True.
p∨q
p↔q
∼p∨∼q
q∨∼p
(p∧q)→r is logically equivalent to
p→(q→r)
(p∧q)→∼r
(∼p∨∼q)→∼r
(p∨q)→r
Ifis F , p→q is F then the truth values of p and q are
T,T
T,F
F,T
F,F
The negation of inverse of ∼p→q is
q∧p
∼p∧∼q
p∧q
∼q→∼p
The negation of p∧(q→r) is
∼p∧(∼q→∼r)
p∨(∼q∨r)
∼p∧(∼q→∼r)
∼p∨(∼q∧∼r)
If A= {1,2,3,4,5} then which of the following is not True?
∃ x∈A such that x+3 = 8
∃ x∈A such that x+2 <9
∀ x∈A , x+6 ≥ 9
∃ x∈A such that x+6<10
Examine (p∧q)∧(∼p∨∼q)
Tautology
Contradiction
Contingency
None of these
Dual of (p∧t)∨(c∧∼q)
(p∨c)∧(t∧q)
(p∨c)∧(c∧∼q)
(p∧c)∨(t∧q)
(p∨c)∧(t∨∼q)
7>3 and 4 >11 Negation of Statement is
7<3 or 4<11
7≤3 and 4≤11
7≤3 or 4≤11
7=3 and 4=11
"If a Function is differentiable then it is Continuous."What is Contra-positive of Statement .
If a function is not continuous then it is not differentiable
If a function is not differentiable then it is not continuous.
If a function is continuous then it is differentiable
If a function is not continuous then it is differentiable.
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