मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Negation of “Some men are animal” is ______.

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प्रश्न

Negation of “Some men are animal” is ______.

रिकाम्या जागा भरा
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उत्तर

Negation of “Some men are animal” is All men are not animals.

Explanation:

In formal logic (specifically the Square of Opposition), the negation of a particular affirmative statement (“Some S are P”) is its contradictory, the universal negative statement (“No S is P”).

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पाठ 1.1: Mathematical Logic - Q.3

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Using truth table, prove the following logical equivalence:

(p ∧ q) → r ≡ p → (q → r)


Write the following compound statement symbolically.

Angle is neither acute nor obtuse.


Construct the truth table of the following statement pattern.

(p ∧ ∼q) ↔ (p → q)


Construct the truth table of the following statement pattern.

∼ p ∧ [(p ∨ ∼ q) ∧ q]


Construct the truth table of the following statement pattern.

(p ∨ ∼ q) → (r ∧ p)


Determine the truth values of p and q in the following case:

(p ∧ q) is F and (p ∧ q) → q is T


Write the truth value of the following statement.

16 is an even number and 8 is a perfect square.


Write the truth value of the following statement.

A quadratic equation has two distinct roots or 6 has three prime factors.


Write the negation of the following statement.

All men are animals.


Write the truth value of the negation of the following statement.

London is in England.


Write the truth value of the negation of the following statement.

For every x ∈ N, x + 3 < 8.


Write the following statement in symbolic form.

Milk is white if and only if the sky is not blue.


Find the truth value of the following statement.

3 is a prime number and an odd number.


Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is not holiday or Ram studies on holiday.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

Mona likes Mathematics and Physics.


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.


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

p → q


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.

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.

7 is prime number and Tajmahal is in Agra.


Write the following statement in symbolic form:

Milk is white if and only if the sky is not blue.


Given 'p' and 'q' as true and 'r' as false, the truth values of p v (q ∧ ~r) and (p → r) ∧ q are respectively


Which of the following is false?


Which of the following is NOT true for p → q.


The logical statement (∼p → q) ∧ (q → p) is equivalent to: ______ 


Write the converse, inverse, and contrapositive of the statement. "If 2 + 5 = 10, then 4 + 10 = 20."


The statement ∼(p ↔ ∼q) is ______.


Express the following compound statement symbolically:

Delhi is in India but Dhaka is not in Sri Lanka


Construct the truth table for the statement pattern:

[(p → q) ∧ q] → p


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