In a certain code language,
'A + B' means 'A is the mother of B',
'A - B' means 'A is the brother of B',
'A × B' means 'A is the wife of B',
'A ÷ B' means 'A is the father of B'.
Based on the above information, how is R's daughter related to T if 'P+Q÷R×S−T÷U'?
- ABrother's daughter
- BBrother's wife
- CBrother's son
- DBrother's father
Solution & Step-by-step Explanation
Let's break down the expression 'P+Q÷R×S−T÷U' from left to right to discover the relationships:
P+Q⟹ P is the mother of Q.
Q÷R⟹ Q is the father of R.
R×S⟹ R is the wife of S. (So, R is Female, S is Male).
S−T⟹ S is the brother of T.
T÷U⟹ T is the father of U.
From steps 3 and 4:
R is the wife of S, and S is the brother of T.
This means S and T are brothers (or T is a sibling, but step 5 confirms T is a father, so T is male).
Therefore, S is T's brother.
Since R is the wife of S, R is T's brother's wife.
Consequently, R's daughter is the daughter of T's brother (S and R's child).
Thus, R's daughter is T's brother's daughter.
P+Q⟹ P is the mother of Q.
Q÷R⟹ Q is the father of R.
R×S⟹ R is the wife of S. (So, R is Female, S is Male).
S−T⟹ S is the brother of T.
T÷U⟹ T is the father of U.
From steps 3 and 4:
R is the wife of S, and S is the brother of T.
This means S and T are brothers (or T is a sibling, but step 5 confirms T is a father, so T is male).
Therefore, S is T's brother.
Since R is the wife of S, R is T's brother's wife.
Consequently, R's daughter is the daughter of T's brother (S and R's child).
Thus, R's daughter is T's brother's daughter.