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प्रश्न
Choose the correct alternative:
A biconditional statement is the conjunction of two ______ statements
पर्याय
Negative
Compound
Connective
Conditional
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उत्तर
Conditional
APPEARS IN
संबंधित प्रश्न
Examine whether each of the following statement patterns is a tautology or a contradiction or a contingency.
[~(~p ∧ ~q)] v q
Using truth table prove that p ↔ q = (p ∧ q) ∨ (~p ∧ ~q).
Using truth table, prove the following logical equivalence:
(p ∧ q) → r ≡ p → (q → r)
Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p
Write the following compound statement symbolically.
x is not irrational number but is a square of an integer.
Construct the truth table of the following statement pattern.
[p → (q → r)] ↔ [(p ∧ q) → r]
Express the following statement in symbolic form.
Milk is white or grass is green.
Write the negation of the following statement.
All men are animals.
Write the negation of the following statement.
2 + 3 ≠ 5
Write the following statement in symbolic form.
Stock prices are high if and only if stocks are rising.
Write the following statement in symbolic form.
If Kutub-Minar is in Delhi then Taj-Mahal is in Agra.
Find the truth value of the following statement.
If a joint venture is a temporary partnership, then discount on purchase is credited to the supplier.
Find the truth value of the following statement.
Neither 27 is a prime number nor divisible by 4.
If p and q are true and r and s are false, find the truth value of the following compound statement.
p ∧ (q ∧ r)
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement.
q → p
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To be brave is necessary and sufficient condition to climb the Mount Everest.
If p : Proof is lengthy.
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It is interesting iff the proof is lengthy.
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q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
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∼ (p ∨ q) ∧ r
Write the negation of the following.
Kanchanganga is in India and Everest is in Nepal.
Rewrite the following statement without using the connective ‘If ... then’.
If it rains then the principal declares a holiday.
Write the negation of the following statement.
∃ x ∈ A, such that x + 5 < 11.
Find the negation of 10 + 20 = 30
State whether the following statement is True or False:
The converse of inverse of ~ p → q is q → ~ p
Given 'p' and 'q' as true and 'r' as false, the truth values of p v (q ∧ ~r) and (p → r) ∧ q are respectively
If q: There are clouds in the sky then p: it is raining. The symbolic form is ______
Which of the following is false?
If p and q are true and rands are false statements, then which of the following is true?
The logical statement (∼p → q) ∧ (q → p) is equivalent to: ______
Construct the truth table for the statement pattern:
[(p → q) ∧ q] → p
