State true or false.
(i)        Cube of any odd number is even.
(ii)       A perfect cube does not end with two zeros.
(iii)      If 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.

Explanation

Let's analyze each statement one by one and determine whether they are true or false, along with the reasoning behind each conclusion.

### Solution:

**(i)** **Cube of any odd number is even.**
- **Answer:** False
- **Reason:** The cube of an odd number is always odd. For example, the cube of 1 is \(1^3 = 1\), and the cube of 3 is \(3^3 = 27\). Both results are odd.

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