In a certain code, the symbol for 0 (zero) is * and that for 1 is `Delta`. 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 givnen 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 *
'1' is written as `Delta`
'2' is written as `Delta "*"`
'3' is written as `Delta Delta`
'4' is written as `Delta` ** and so on.
Which of the following will represent the HCF of 10, 20 and 15 ?

Options

A. `Delta "*" Delta`
B. `Delta Delta Delta`
C. `Delta "**"`
D. `"**" Delta`

Answer

A

Explanation

HCF of 10, 20 and 15 is obviously 5. 5 is represented as :
`{:(5,1),(2,0),(1,):}`
`therefore 101 = Delta "*" Delta`