(i) All birds sing.(ii) Some even integers are prime.(iii) There is a

1.	(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”.