Question

If the difference between the smallest five digit perfect cube and the greatest four digit perfect cube is A,then(A-56) can be a cube of
1) 15
2) 13
3) 14
4) 11

Answer 1

21 x 21 x 21 = 9261

22 x 22 x 22 = 10648

Greatest 4digit number = 9261

Smallest 4digit number = 10648

Difference= A= 10648 - 9261 = 1387

a - 56 = 1287 - 56 = 1331 = 11³

3) 11