2.State True or False.
(i) Cube of an odd number is even.

(ii) A perfect cube does not end with two zeros.

(iii) If the square of a number ends with 5, then its cube ends with 25.

(iv) There is no perfect cube which ends with 8.

(v) The cube of a two digit number may be a three digit number.

(vi) The cube of a two digit number may have seven or more digits.

(vii) The cube of a single digit number may be a single digit number.

(i) False because Cube of any odd number is always odd, e.g., $$(3)^3 = 27$$

(ii) True.

(iii) True. For e.g., $$(5)^2 = 25$$ and $$(5)^3 = 625$$

(iv) False because there exists perfect cube which ends with 8 for e.g., $$(12)^3 = 1728$$ending with 8

(v) False. let's take the lowest two digit number i.e., $$(10)^3 = 1000$$which is a 4-digit number.

(vi) False.Let's take the highest two digit number i.e., $$(99)^3 = 970299$$ which is 6-digit number.

(vii) True. For e.g., $$(2)^3 = 8$$ which is 1-digit number.