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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 тАЬAll birds sing.тАЭ
Or
тАЬAll birds do not sing.тАЭ
(ii) Some even integers are prime.
The negation of the statement is:
It is false that тАЬeven integers are prime.тАЭ
Or
тАЬNot every even integers is prime.тАЭ
(iii) There is a complex number which is not a real number.
The negation of the statement is:
It is false that тАЬcomplex numbers are not a real number.тАЭ
Or
тАЬAll complex number are real numbers.тАЭ
(iv) I will not go to school.
The negation of the statement is:
тАЬI will go to school.тАЭ
(v) Both the diagonals of a rectangle have the same length.
The negation of the statement is:
тАЬThere is at least one rectangle whose both diagonals do not have the same length.тАЭ
(vi) All policemen are thieves.
The negation of the statement is:
тАЬNo policemen are thiefтАЭ.

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