In a certain code language,
A + B means 'A is the mother of B'
A – B means 'A is the son of B'
A x B means 'A is the daughter of B'
A ÷ B means 'A is the brother of B'
Based on the above, how is P related to T if 'P – Q ÷ R x S + T' holds?
In a certain code language,
A + B means 'A is the mother of B'
A – B means 'A is the son of B'
A x B means 'A is the daughter of B'
A ÷ B means 'A is the brother of B'
Based on the above, how is P related to T if 'P – Q ÷ R x S + T' holds?
Solution
Let me decode each relationship in the expression 'P – Q ÷ R x S + T':
| Expression | Meaning |
|---|---|
| P – Q | P is the son of Q |
| Q ÷ R | Q is the brother of R |
| R x S | R is the daughter of S |
| S + T | S is the mother of T |
Now, building the family tree from these relationships:
Since S is the mother of T, T is S's child.
Since R is the daughter of S, R is also S's child. This means R and T are siblings.
Since Q is the brother of R, Q is also S's child. This means Q and T are siblings (both have the same mother S).
Since P is the son of Q, P is Q's child.
Finding P's relation to T:
Q and T are siblings (both are children of S).
Q is T's brother (since Q is male - he's described as "brother of R").
P is Q's son.
Therefore, P is T's brother's son.
The correct answer is Option 3: Brother's son.