Question

Exercise 7.2
1. Write True (T) or False (F) for each of the following statements.
(a) There is no cube root of a negative integer.
(b) Cube of an odd number is odd.
(c) Square of a number is positive, so the cube of that number will also be positive.
(d) For a positive integer p. p may not be greater than p2.
(e) if a? ends in 9, then ad ends in 7.
(f) 327 +64 = 327 +364
(g) The cube of any multiple of 3 is always divisible by 27.
(h) For a number to be a perfect cube, it must have prime factors in pairs,
(0) No perfect cube can end in exactly two zeros.
() The cube of a one-digit number can be a three-digit number.​

Answer 1

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Chapters in NCERT Solutions - Mathematics , Class 8

Exercises in Cubes and Cube Roots

Question 4

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.

Solution

Transcript

(i) False

(ii) True

(iii) False

(iv) False

(v) False

(vi) False

(vii) True