what are those number whose unit's digit of the cube is equal to same number
Answers
Answer:
cube of 1 is 1
cube of 4 is 64
cube of 6 is 216
cube of 9 is 729
cube of 10 is 1000
so the numbers are 1, 4, 6, 9, 10
0,1,4,5,6 and 9 are those numbers whose unit digit of the whose cube is equal to the same number
Cube of a number is number multiplied by number three times
a³ = a x a x a
Need to find numbers, unit digit of whose cube is equal to the number.
Hence Number must be of 1 Digit only.
Hence Checking all digits cube
Number Cube Unit Digit of Cube
0 0 0 SAME
1 1 1 SAME
2 8 8 DIFFERENT
3 27 7 DIFFERENT
4 64 4 SAME
5 125 5 SAME
6 216 6 SAME
7 343 3 DIFFERENT
8 512 2 DIFFERENT
9 729 9 SAME
Hence, 0,1,4,5,6 and 9 are those numbers whose unit digit of the whose cube is equal to the same number
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