Choose the correct answer for the following:
Which of the following is false?
A. We know that cubes of odd numbers are all odd numbers.
∴ This is true.
B. For example:
Cube of 10 = 103
= 10 × 10 × 10
= 1000
Which ends in 3 zeros.
∴ It is true that a perfect cube does not end with two zeros.
C. For example:
Cube of 2 = 23
= 2 × 2 × 2
= 8 (single digit)
While cube of 3 = 33
= 3 × 3 × 3
= 27 (double digit)
∴ It can be concluded that the cube of a single digit number may be a single digit number.
D. For example:
23 = 8; 123 = 1728; 223 = 10648
Here, we can see that there are cubes which end with the digit 8.
∴ It is false that there is no perfect cube which ends with 8.
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