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Question -

(i) All birds sing.
(ii) Some even integers are prime.
(iii) There is a complex number which is not a real number.
(iv) I will not go to school.
(v) Both the diagonals of a rectangle have the same length.
(vi) All policemen are thieves



Answer -

(i) All birds sing.
The negation of the statement is:
It is false that “All birds sing.”
Or
“All birds do not sing.”
(ii) Some even integers are prime.
The negation of the statement is:
It is false that “even integers are prime.”
Or
“Not every even integers is prime.”
(iii) There is a complex number which is not a real number.
The negation of the statement is:
It is false that “complex numbers are not a real number.”
Or
“All complex number are real numbers.”
(iv) I will not go to school.
The negation of the statement is:
“I will go to school.”
(v) Both the diagonals of a rectangle have the same length.
The negation of the statement is:
“There is at least one rectangle whose both diagonals do not have the same length.”
(vi) All policemen are thieves.
The negation of the statement is:
“No policemen are thief”.

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