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Question -

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.



Answer -

(i)False – Cube of any odd number is always odd, e.g., (7)3 = 343
(ii) True – A perfect cube does not end with two zeros.
(iii) True – If a square of a number ends with 5, then its cube ends with 25,e.g., (5)2 = 25 and (5)3 = 625
(iv) False – (12)3 = 1728 (ends with8)
(v) False – (10)3 = 1000 (4-digitnumber)
(vi) False – (99)3 = 970299 (6-digitnumber)
(vii) True – (2)3 = 8 (1-digitnumber)

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