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

(i) False
Since, 1³ = 1,3³ =27,5³ = 125,………… are all odd.
(ii) True
Since, a perfect cube ends with three zeroes.
e.g. 10³ =1000,20³ = 8000,30³ = 27000,……. so on
(iii) False
Since, 5² = 25,5³ = 125,15² 225,15³ 3375 (Did not end with 25)
(iv) False
Since 12³ = 1728 [Ends with 8]
And 22³ = 10648 [Ends with 8]
(v) False
Since 10³ = 1000 [Four digit number]
And 11³ = 1331 [Four digit number]
(vi) False
Since 3 99³ = 970299 [Six digit number]
(vii) True
1³ = 1 [Single digit number]
2³ = 8 [Single digit number]

Class 8 Maths Chapter 7 Exercise 7.2 Solution in Video

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