# . 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:

(i) A Cube of any odd number is even.

False: Odd multiplied by odd always results in odd

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

True: A perfect cube ends with an odd number of zeroes.

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

TRUE: 5 multiplied by 5 any number of times always gives 5 at the unit's place.

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

False:  23=8

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

False: The smallest two digit number is 10 and 103=1000 which is not a three digit number.

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

False: 99 is the largest 2 digit number and 993=989901  which is a 6 digit number.

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

True:23=8  is a single digit number.