Read the following information carefully and answer the given question.
A. If 'A + B' means 'A is the father of B'
B. If 'A × B' means 'A is the sister of B'
C. If 'A $ B' means 'A is the wife of B'
D. If 'A % B' means 'A is the mother of B'
E. If 'A ÷ B' means 'A is the son of B'
Which among the following expressions indicates that M is the daughter of D?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → L + R $ D + M × T
Each symbol stands for one relation, read as “the left letter is the … of the right letter”. The codes given are:
A + B: A is the father of B
A × B: A is the sister of B
A $ B: A is the wife of B
A % B: A is the mother of B
A ÷ B: A is the son of B
For M to be D’s daughter, the expression must make M a child of D and must also show that M is female. Option (2), pair by pair:
L + R: L is the father of R
R $ D: R is the wife of D
D + M: D is the father of M, so M is D’s child
M × T: M is the sister of T, so M is female
The last pair fixes M’s gender, so M is the daughter of D.
Why the other options are incorrect
Option (1) L % R $ D + T × M — Incorrect. D is the father of T and T is the sister of M, so M is D’s child, but M’s gender is not given.
Option (3) L % R % D + T ÷ M — Incorrect. T is the son of both D and M, so M is T’s parent, not D’s child.
Option (4) D + L $ R + M × T — Incorrect. D is the father of L, L is the wife of R and R is the father of M, so M is D’s granddaughter.