In a certain code language,

'A & B' means ‘A is the brother of B’,
'A x B' means ‘A is the father of B’,
'A ? B' means ‘A is the mother of B’, and
'A ! B' means ‘A is the wife of B’.

Which of the following means that W is the mother's mother of P?

Question

In a certain code language,

'A & B' means ‘A is the brother of B’,  
'A x B' means ‘A is the father of B’,   
'A ? B' means ‘A is the mother of B’, and   
'A ! B' means ‘A is the wife of B’.

Which of the following means that W is the mother's mother of P?

Accepted Answer

We need to find the expression that means W is the mother's mother of P.

Given codes:
- A & B: A is brother of B
- A x B: A is father of B
- A ? B: A is mother of B
- A ! B: A is wife of B

We want to express: W is mother of mother of P.

Step 1: W is mother of someone (say R): W ? R
Step 2: R is mother of someone (say O): R ? O
Step 3: O is father of P: O x P

But none of the options have two '?' operators in sequence. Let's analyze option 4:

Option 4: W ! R x Y ? O & P

Breakdown:
- W ! R: W is wife of R
- R x Y: R is father of Y
- Y ? O: Y is mother of O
- O & P: O is brother of P

From this, W is wife of R, R is father of Y, Y is mother of O, O is brother of P.

So, W is wife of R (father of Y), so W is mother of Y (since wife of father is mother), Y is mother of O, O is brother of P.

Therefore, W is grandmother (mother of mother) of P through Y.

Hence, option 4 correctly represents W as mother's mother of P.

Answer

Answer

Answer