In a certain code language, X + Y means ‘X is the sister of Y’, X − Y means ‘X is the son of Y’, X × Y means ‘X is the husband of Y’, X ÷ Y means ‘X is the mother of Y’. Based on the above, how is T related to X if ‘T + U − V × W ÷ X’?
- (a)Sister
- (b)Father’s sister
- (c)Mother’s sister
- (d)Father’s mother
Answer
Why
Correct — A. Read the string left to right, one symbol at a time.
T + U: T is the sister of U.
U − V: U is the son of V.
V × W: V is the husband of W.
W ÷ X: W is the mother of X.
So V and W are the parents of X, and U — their son — is X's brother.
T is U's sister, so T is a daughter of the same couple. T is the sister of X, option (a).
Why the others are wrong
- (b)Father’s sister — Father's sister would need T to be a sibling of V. The string attaches T to U, and U is V's son, so T stands in X's generation, not V's.
- (c)Mother’s sister — Mother's sister would put T in W's generation. T is joined to U by the + symbol, and U is a child of V and W, so T is a child of that couple too.
- (d)Father’s mother — Father's mother needs T to be V's parent. No link in the string points upward from V — the relation given for T is that she is U's sister.
Concept
Coded blood relations hand you a private symbol table and a chain to decode. Two habits make them quick.
First, translate every symbol into a plain sentence before drawing anything, so the chain becomes English.
Second, remember that each symbol relates the letter on its left to the letter on its right, and the chain is read strictly left to right.
Reversing one link — reading X − Y as X is the father of Y — flips a whole generation and produces a plausible wrong answer rather than an obvious one.
T's gender is fixed by the code itself. T + U means T is a sister, so T is female and the answer has to be a female relation.
Key facts
- The four codes here are: + is sister of, − is son of, × is husband of, ÷ is mother of.
- Each symbol relates the term written before it to the term written after it.
- Siblings share both parents in this format, so the sister of a son is a daughter of the same couple.
Study next
Common traps
- Reading X − Y as X is the father of Y instead of the son of Y.
- Stopping at U and answering T's relation to U rather than to X.
- Forgetting that T's sisterhood to U also makes her a daughter of V and W.
The same format appears at 09 Sep 2024, 12:30, Reasoning Q.9 and at 11 Sep 2024, 16:00, Reasoning Q.15, both built on R + T, R − T and R * T. Read the table printed on your own paper — it is not always the one you saw last.
Related PYQs
No directly related past PYQ was found.