Question

find the number of numbers which has both  square root and cube root between  1 and 2000 inclusive?
a)1          b)2       c)3       d)4         e)5

Answer 1

if a number had both a cube and square, it should have its 6th root also, since {(x)^2}^3 = x^6. (since you multiply 2*3). so it should be a perfect 6th power also. if we work it out, the numbers of numbers which have their 6th root between 1 and 2000 are only 1, 2 and 3.

Answer 2

THE NUMBERS ARE   1 ,  2  and  3 .