The cube of a one digit number cannot be a two digit number. State whether the statement is true (T) or false (F).

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Solution

Consider the one-digit numbers $1, 2, 3, 4$
Then, their cubes are $1^{3} = 1, 2^{3} = 8, 3^{3} = 27, 4^{3} = 64$
That is, clearly, the cube of a one digit number can be a two digit number.
Hence, the given statement is false .

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Question 2(v)

State True or False.
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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.

The cube of a two digit number may be a three digit number. (True or False)

State whether the given statements are true or false:

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