State the negations for the following statements :

(i) Man is mortal.

(ii) Line l is parallel to line m.

(iii) This chapter has many exercises.

(iv) All integers are rational numbers.

(v) Some prime numbers are odd.

(vi) No student is lazy.

(vii) Some cats are not black.

(viii) There is no real number x, such that $\sqrt{x}$ = -1.

(ix) 2 divides the positive integer a.

(x) Integers a and b are coprime.

(i) It is false that Man is mortal i.e., Man is not mortal.

(ii) It is false that line l is parallel to line m i.e., Line l is not parallel to line m.

(iii) It is false that this chapter has many exercises i.e., This chapter does not have many exercises.

(iv) It is false that all integers are rational numbers i.e., not all integers are rational numbers.

(v) It is false that some prime numbers are odd i.e., all prime numbers are not odd.

(vi) It is false that no student is lazy i.e., some students are lazy.

(vii) It is false that some cats are not black i.e., all cats are black.

(viii) It is false that there is no real number x, such that $\sqrt{x}$ = -1 i.e., there is at least one real number x, such that $\sqrt{x}$ = -1 .

(ix) It is false that 2 divides the positive integer a i.e., 2 does not divide the positive integer a.

(x) It is false that Integers a and b are coprime. i.e., Integers a and b are not coprime.