Question

when twice a non-zero positive number is divided by its cube root, the quotient is obtained as 32. if the cube of the number is divided by the number itself, then the quotient is_____-​

Answer 1

Answer:

According to condition , Let the number be x

2x/(x^(1/3)) = 32 ; Cubing both sides, 8x^3/ x = 32*32*32

8x^2=32*32*32 ; x^2=32*32*4 ; x= 16*2 = 32

The number is 32 , Quotient = 32*32 = 1024