Write the negation of the following statement:
All triangles are not equilateral triangles.
All triangles are not equilateral triangles.
(N/A) The negation of the statement "All triangles are not equilateral triangles" is "There exists at least one triangle which is an equilateral triangle."
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The negation of the statement pattern $\sim s \vee (\sim r \wedge s)$ is equivalent to
Which of the following statements is/are False?
$S_1: \exists n \in N, \text{ such that } n^2 + n + 2 \text{ is divisible by 4.}$
$S_2: \exists x \in N, \text{ such that } x - 17 < 20.$
$S_3: \forall n \in N, x^2 + 3x - 10 = 0.$
$S_4: \forall n \in N, n^2 \ge 1.$
$S_1: \exists n \in N, \text{ such that } n^2 + n + 2 \text{ is divisible by 4.}$
$S_2: \exists x \in N, \text{ such that } x - 17 < 20.$
$S_3: \forall n \in N, x^2 + 3x - 10 = 0.$
$S_4: \forall n \in N, n^2 \ge 1.$
Write the contrapositive and converse of the following statement:
"You cannot comprehend geometry if you do not know how to reason deductively."
"You cannot comprehend geometry if you do not know how to reason deductively."
Easy
View SolutionIf $p, q, r$ are simple propositions with truth values $T, F, T$ respectively, then which of the following is not a true statement?
DifficultMHT CET 2026
View SolutionThe contrapositive of the converse of $p \Rightarrow q$ is......
Easy
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