In a certain code, the symbol for 0 (zero) is @ and for 1 is $. 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 @
'1' is written as $
'2' is written as $@
'3' is written as $$
'4' is written as $@@ and so on
What is the value of `[("$@") + ("$@") div ("$@")]^("$@")` ?

Options

A. $ @ @ $ @
B. $ @ $ @ $
C. $ $ $ `xx` $ $ - $ @
D. `("$$")^("$@")`

Answer

D

Explanation

10 is equal to 2 in decimal. `2 + 2 div 2 = 2 + 1 = 3`.
`therefore (2 + 2 div 2)^(2) = 3^(2) = 9`. Choice 3 is `(11)^(10)`. Now, 11 is equal to 3 in decimal choice 3 is `3^(2)` = 9.