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प्रश्न
Which one of the following sentences is a proposition?
How tall this mountain is!
विकल्प
is a proposition
not a proposition
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उत्तर
not a proposition
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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 v 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
Determine the truth value of the following statement.
If 6 + 2 = 5, then the milk is white.
Determine the truth value of the following statement.
11 is a prime number and all the sides of a rectangle are equal
Which one of the following sentences is a proposition?
4 + 7 = 12
Construct the truth table for the following statement
(¬p → r) ∧ (p ↔ q)
Show that (p ∧ q) ≡ ¬p v ¬q
Show that ¬(p → q) ≡ p ∧¬q
Prove that q → p ≡ ¬p → ¬q
Show that ¬(p ↔ q) ≡ p ↔ ¬q
Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table
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 is the contrapositive of the statement (p v q) → r?
Choose the correct alternative:
The truth table for (p ∧ q) v ¬q is given below
| p | q | (p ∧ q) v ¬q |
| T | T | (a) |
| T | F | (b) |
| F | T | (c) |
| F | F | (d) |
Which one of the following is true?
Choose the correct alternative:
Which one of the following is incorrect? For any two propositions p and q, we have
Choose the correct alternative:
The dual of ¬(p v q) v [p v(p ∧ ¬r)] is
Choose the correct alternative:
The proposition p∧(¬p∨q)] is
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
