Question

if the difference between the smallest five digit perfect cube and the greatest 4 digit perfect cube is 'a' then find (a-56 )can be cube of
i) 15
ii) 13
iii)14
iv)11

Answer 1

smallest 5 digit perfect cube 10648-greatest 4 digit perfect cube 9621=1027

Answer 2

smallest five digit cube is 10648

smallest four digit cube is 9261

difference between the cubes is 1387

according to the question a = 1387 - 56= 1331

1331 is cube of 11 so answer is 11