In a certain code, the symbol for 0 (zero) is `alpha` and for 1 is `beta`. There are no other symbols for all other numbers greater than one. The numbers greater than 1 are to be written only by using the two symbols given above. The value of the symbol for 1 doubles itself every time it shifts one place to the left. Study the following examples :
'0' is written as `alpha`
'1' is written as `beta`
'2' is written as `beta alpha`
'3' is written as `beta beta`
'4' is written as `beta alpha alpha` and so on.
Which of the following represents 30 ?

Options

A. `beta beta beta alpha alpha`
B. `beta alpha beta alpha alpha`
C. `beta alpha alpha beta alpha`
D. `beta beta beta beta alpha`

Answer

D

Explanation

To find binary code for 30 :
`{:(30,0),(15,1),(7,1),(3,1),(1,):}`
`therefore 11110 = beta beta beta beta alpha`