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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.

Cube & Cube Roots

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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.

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