Advertisements
Advertisements
प्रश्न
State whether the following statement is True or False:
The converse of inverse of ~ p → q is q → ~ p
पर्याय
True
False
Advertisements
उत्तर
False
APPEARS IN
संबंधित प्रश्न
Write the following compound statement symbolically.
The angle is right angle if and only if it is of measure 90°.
Construct the truth table of the following:
[(p ∧ q) ∨ r] ∧ [∼r ∨ (p ∧ q)]
Determine the truth values of p and q in the following case:
(p ∧ q) is F and (p ∧ q) → q is T
Express the following statement in symbolic form.
Mango is a fruit but potato is a vegetable.
Express the following statement in symbolic form.
Milk is white or grass is green.
Write the truth value of the following statement.
The Himalayas are the highest mountains but they are part of India in the North East.
Write the truth value of the negation of the following statement.
`sqrt5` is an irrational number.
Find the truth value of the following statement.
It is not true that 3 − 7i is a real number.
If p and q are true and r and s are false, find the truth value of the following compound statement.
~ [p ∨ (r ∧ s)] ∧ ~ [(r ∧ ~ s) ∧ q]
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement.
~ (p ∨ q)
If p : He swims
q : Water is warm
Give the verbal statement for the following symbolic statement.
q ∧ ~ p
Assuming the first statement p and second as q. Write the following statement in symbolic form.
To be brave is necessary and sufficient condition to climb the Mount Everest.
Assuming the first statement p and second as q. Write the following statement in symbolic form.
The drug is effective though it has side effects.
If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.
If proof is lengthy then it is interesting.
Write the negation of the following.
An angle is a right angle if and only if it is of measure 90°.
Write the negation of the following statement.
10 > 5 and 3 < 8
A biconditional statement is the conjunction of two ______ statements.
Write the negation of p → q
Choose the correct alternative:
Negation of p → (p ˅ ~q) is
Negation of “Some men are animal” is ______.
If (p ∧ ~ r) → (~ p ∨ q) is a false statement, then respective truth values of p, q and r are ______.
The symbolic form of the following circuit is (where p, q represents switches S1 and S2 closed respectively)
If q: There are clouds in the sky then p: it is raining. The symbolic form is ______
Let S be a non-empty subset of R. Consider the following statement:
p: There is a rational number x ∈ S such that x > 0. Which of the following statements is the negation of the statement p?
Write the negation of (p `leftrightarrow` q).
Using truth table prove that:
~ (p `leftrightarrow` q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)
