In a certain code language, A + B means ‘A is the wife of B’. A − B means ‘A is the son of B’. A × B means ‘A is the husband of B’. A ÷ B means ‘A is the father of B’. Based on the above, how is P related to T if ‘P − Q + R ÷ S × T’?
- (a)Husband’s brother
- (b)Son’s son
- (c)Father
- (d)Father-in-law
Answer
Why
Correct — A. Rule: read the expression left to right, one symbol at a time, and fix each relation before moving on.
P − Q: P is the son of Q.
Q + R: Q is the wife of R.
R ÷ S: R is the father of S.
S × T: S is the husband of T.
Q and R are a couple, so P is their son. R is also the father of S, which makes P and S brothers.
S is the husband of T. P is therefore T's husband's brother, option (a).
Why the others are wrong
- (b)Son’s son — Son's son would put P two generations below T — the son of T's son. P is the son of Q and R, the same generation as S, and T is S's wife, so P and T stand level.
- (c)Father — P is the son of R, not the father of anyone in the expression. The father here is R, who fathers both P and S.
- (d)Father-in-law — Father-in-law would make P the father of S. The expression assigns that role to R (R ÷ S), while P is only R's other son.
Concept
Coded blood relations are a notation problem. Copy the four definitions into the margin first, then substitute mechanically, one symbol at a time, without trying to hold the family in your head.
Order matters and is easy to invert. A − B means A is the son of B, so the left letter is the child. Reading it the other way flips every generation in the chain.
Then draw a tree: older generation on top, couples joined by a horizontal line, children hanging below. The answer is read off the tree rather than deduced.
The question asks how P is related to T, not how T is related to P. The two answers are different — P is T's husband's brother, while T is P's brother's wife.
Key facts
- In this code A − B means A is the son of B, so the letter on the left is the younger one.
- Q is the wife of R and P is the son of Q, so P is the son of R as well.
- R is the father of S, which makes P and S brothers.
Study next
Common traps
- Reading A − B as B is the son of A, which inverts every generation
- Answering how T is related to P when the question asks the reverse
- Skipping the middle link Q + R and never connecting P to R at all
SSC defines four operators, gives a chain of four letters, and asks for one relation. The 11 Sep 2024, 09:00 paper uses the same four symbols with different meanings at Reasoning Q.6 — which is the point: the definitions must be reread every time.
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