In a certain code language, A + B means ‘A is the husband of B’, A − B means ‘B is the mother of A’, A × B means ‘B is the sister of A’ and A ÷ B means ‘A is the daughter of B’. Based on the above, how is Q related to T if ‘P + Q × R − S ÷ T’?

Question

Accepted Answer

Given the expression: P + Q × R − S ÷ T

Step 1: P + Q means P is the husband of Q.
Step 2: Q × R means R is the sister of Q.
Step 3: R − S means S is the mother of R.
Step 4: S ÷ T means S is the daughter of T.

From Step 4, S is daughter of T.
From Step 3, S is mother of R, so R is child of S.
From Step 2, R is sister of Q, so R and Q share parents.
Since S is mother of R, S is also mother of Q.
From Step 1, P is husband of Q.

Therefore, Q is daughter of S, and S is daughter of T, so Q is granddaughter of T.
Q is daughter of S, who is daughter of T.
Q is daughter of S, who is daughter of T.

Since Q is daughter of S, and S is daughter of T, Q is granddaughter of T.

Q's husband is P.

Hence, Q is daughter’s husband of T (Q is husband of T's granddaughter).

Therefore, the correct relation is 'Daughter’s husband'.

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