Mathematics
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 = -1. (ix) 2 divides the positive integer a. (x) Integers a and b are coprime.
Related Questions
If a and b are positive integers, then you know that a = bq + r, 0 ≤ r < b, where q is a whole number. Prove that HCF (a, b) = HCF (b, r).
In each of the following questions, there are two statements. State if the second is the negation of the first or not.
(i) Mumtaz is hungry ; Mumtaz is not hungry.
(ii) Some cats are black ; Some cats are brown.
(iii) All elephants are huge ; One elephant is not huge.
(iv) All fire engines are red ; All fire engines are not red.
(v) No man is a cow ; Some men are cows.
Write the converses of the following statements.
(i) If it is hot in Tokyo, then Sharan sweats a lot.
(ii) If Shalini is hungry, then her stomach grumbles.
(iii) If Jaswant has a scholarship, then she can get a degree.
(iv) If a plant has flowers, then it is alive.
(v) If an animal is a cat, then it has a tail.