Answer 1

♤♢☞ 𝐊𝐢𝐢𝐛𝐨 𝐆𝐡𝐚𝐲𝐚𝐥 ☜♢♤ the question is wrong as per the option given because for odd number of ~ the answer is -6 and for the even number of ~ the answer is 5 always.

because we can see that

for ~x = -(x+1)

~5 = - (5+1) = - 6
~~5 = ~(~5) = ~(-6) = - (-6+1) = - (-5) = 5

so we conclude that

when ~x = -(x+1) then
~~x = – (-(x+1) + 1) = (x+1) – 1 = x

that is,
~~x = x

Looking at the option given in the question,
for 6 ~ we would get +5

So I think the question must be
~~~~~~5 = +5 to match one of the option given.

for 5 ~ (~~~~~5) the answer is -6 which is not available in the options given.

for ~~~~~5
~~5 = 5 (using ~~x = x)
~~~~5 = ~~(~~5) = ~~(5) = ~~5 = 5
~~~~~5 = ~(~~~~5) = ~(5) = ~5 = - (5+1) = -6

for ~~~~~~5
~~5 = 5
~~~~5 = ~~(~~5) = ~~(5) = ~~5 = 5
~~~~~~5 = ~~(~~~~5) = ~~(5) = ~~5 = 5

Answer 2

I guess the answer is 5
as ~x represents a single value

It must be in this way
~x = -(5 + 1) = -6
now
~~~~~x =
~~~~~-6 =>
~~~~5 =>
~~~-6 =>
~~5 =>
~-6 =>
5

where => this represents 'after this'

This is just a guess tho

Answer 3

A. S. M. I doubt its that way because if that's true how is the following proof/pattern correct? 🤔

Given:
~x = -(x+1)
~~x = – (-(x+1) + 1) = (x+1) – 1 = x

proof:
let's take x = 5
~5 = - (5+1) = - 6
~~5 = ~(~5) = ~(-6) = - (-6+1) = - (-5) = 5

hence we can conclude that
when ~x = -(x+1) then ~~x = x
proved!

Answer 4

RKK Yess I think the same, Dont know why I started to validate the options