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

Negation of “Some men are animal” is ______. - Mathematics and Statistics

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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

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).


Construct the truth table of the following statement pattern.

[p → (q → r)] ↔ [(p ∧ q) → r]


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 T and (p ∧ q) is T


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

(p ∨ q) is T and (p ∨ q) → q is F


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

`sqrt5` is an irrational number.


Write the following statement in symbolic form.

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


If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ∨ (r ∧ s) 


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]


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.

If Sunday is not holiday then Ram studies on holiday.


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

3 is prime number if 3 is perfect square number.


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

If Kiran drives the car, then Sameer will walk.


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

It is not true that Ram is tall and handsome.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

Proof is lengthy and it is not interesting.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

It is interesting iff the proof is lengthy.


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 → r


Write the negation of the following.

If x ∈ A ∩ B, then x ∈ A and x ∈ B.


Consider the following statements.

  1. If D is dog, then D is very good.
  2. If D is very good, then D is dog.
  3. If D is not very good, then D is not a dog.
  4. If D is not a dog, then D is not very good. 

Identify the pairs of statements having the same meaning. Justify.


Find the negation of 10 + 20 = 30


Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”


Using truth table prove that p ˅ (q ˄ r) ≡ (p ˅ q) ˄ (p ˅ r)


Write the negation of p → q


Choose the correct alternative:

A biconditional statement is the conjunction of two ______ statements


The symbolic form of the following circuit is (where p, q represents switches S1 and S2 closed respectively)


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 following statement in symbolic form.

It is not true that `sqrt(2)` is a rational number.


Express the following compound statement symbolically:

Delhi is in India but Dhaka is not in Sri Lanka


Write the negation of (p `leftrightarrow` q).


If a statement b has truth value False and \[(p\wedge q)\leftrightarrow r\] has truth value True, then which of the following has truth value True?


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