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प्रश्न
Choose the correct alternative:
The operation * defined by a * b = `"ab"/7` is not a binary operation on
विकल्प
Q+
Z
R
C
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उत्तर
Z
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संबंधित प्रश्न
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
P ∧ ¬q
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
p → ¬q
Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.
p ↔ q
Write the following sentences in symbolic form using statement variables p and q.
19 is not a prime number and all the angles of a triangle are equal
Write the following sentences in symbolic form using statement variables p and q.
19 is a prime number and all the angles of a triangle are equal
Write the following sentences in symbolic form using statement variables p and q.
19 is not a prime number
Which one of the following sentences is a proposition?
3n ≤ 81, n ∈ N
Which one of the following sentences is a proposition?
Peacock is our national bird
Construct the truth table for the following statement.
¬P ∧ ¬q
Construct the truth table for the following statement.
(p v q) v ¬q
Construct the truth table for the following statement
(¬p → r) ∧ (p ↔ q)
Show that ¬(p → q) ≡ p ∧¬q
Prove that q → p ≡ ¬p → ¬q
Check whether the statement p → (q → p) is a tautology or a contradiction without using the truth table
Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table
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Which one of the following statements has the truth value T?
Choose the correct alternative:
If a compound statement involves 3 simple statements, then the number of rows in the truth table is
Choose the correct alternative:
Which one of the following is incorrect? For any two propositions p and q, we have
Choose the correct alternative:
Determine the truth value of each of the following statements:
(a) 4 + 2 = 5 and 6 + 3 = 9
(b) 3 + 2 = 5 and 6 + 1 = 7
(c) 4 + 5 = 9 and 1 + 2 = 4
(d) 3 + 2 = 5 and 4 + 7 = 11
