In a certain code language, 'A ! B' means ‘A is the father of B’, 'A & B' means ‘A is the brother of B’, 'A * B' means ‘A is the wife of B’ and 'A # B' means ‘A is the daughter of B’. Which of the following means that S is the husband's brother's wife of M?
- (a)S & F * J ! I # M
- (b)S & F ! J * I # M
- (c)S * F & J ! I # M
- (d)S & F # J ! I * M
Answer
Why
Correct — C. What is wanted: S is the wife of the brother of M's husband.
Read the chain left to right. S * F makes S the wife of F, and that is the only opening that makes S a wife at all.
F & J makes F the brother of J, so S is married to J's brother.
J ! I makes J the father of I, and I # M makes I the daughter of M, so M is I's other parent — J's wife.
F is therefore the brother of M's husband, and S is F's wife, which is what option (c) says.
Why the others are wrong
- (a)S & F * J ! I # M — It opens S & F, making S the brother of F and therefore male. The relation asked for ends in 'wife', so the chain fails at its first symbol.
- (b)S & F ! J * I # M — It also opens S & F, so S is again a brother. Nothing later in the chain can turn a brother into a wife.
- (d)S & F # J ! I * M — Same opening, S & F, so S is male again. Its closing link, I * M, also makes I the wife of M rather than M's child.
Concept
Symbol-coded relation items are read strictly left to right, one symbol at a time, and each symbol carries a gender as well as a link.
Wife and daughter make the person on the left female; father and brother make the person on the left male. That gender check alone kills options before any diagram is drawn.
Here the question asks for S as somebody's wife, so every chain that opens by making S a brother is out at the first symbol — which is three of the four options.
The phrase 'husband's brother's wife' is read from M outwards: M's husband, then his brother, then that brother's wife.
Key facts
- In this code A * B means A is the wife of B, so the symbol fixes the gender of the person on its left.
- A ! B means A is the father of B, and A # B means A is the daughter of B.
- A child with a stated father and a second stated parent gives you a married couple, which is how J and M are linked here.
Study next
Common traps
- Reading the chain right to left, which reverses every relation in it.
- Ignoring the gender each symbol forces on the person to its left.
- Treating husband's brother's wife as a blood relation instead of two marriages either side of a sibling link.
The four symbols are defined inside this stem, so they must be read here rather than recalled, and the gender each one forces is the fastest filter on the options.
Related PYQs
No directly related past PYQ was found.