Mathematics
State true or false :
(i) Cube of an odd number can be even.
(ii) A perfect cube does not end with two zeroes.
(iii) If square of a number ends with 5, its cube will end with 25.
(iv) The cube of a two digit number may be a three digit number.
(v) Cube of a natural number is called perfect cube.
Answer
(i) False.
Reason — Cube of an odd number are odd.
(ii) True.
Reason — A perfect cube always end in the number of zeroes that is a multiple of 3.
(iii) False.
Reason — It is not necessary that if square of a number ends with 5, its cube will end with 25.
Example- The square of 15 is 225 but its cube is 3375. The square of 5 is 25 and its cube is 125.
(iv) False.
Reason — Cube of two digit number may have four digits to six digits.
(v) True.
Reason — The cube of a number is called a perfect cube.