If the digit at units place of a number is 2, the digit at units place of the cube of that number is
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To determine the digits at unit's place of the cubes of given numbers, first we need to find their cubes.
1
3
=1, 2
3
=8, 3
3
=27, 4
3
=64, 5
3
=125, 6
3
=216, 7
3
=343, 8
3
=512, 9
3
=729, 10
3
=1000
The digits at unit's place are 1,8,7,4,5,6,3,2,9,0
Let's arrange them in order, we get 0,1,2,3,4,5,6,7,8,9 as digits at unit's place.
Each digit occurs at the end of some cube. Hence one cannot conclude that some number is not a cube by looking at the last digit.
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