Directions : Study the following information carefully and answer the…
2022
Directions : Study the following information carefully and answer the questions that follow:
‘P@Q’ means ‘P is the son of Q’
‘P ^Q’ means ‘P is the father of Q’
‘P ÷ Q’ means ‘P is the brother of Q’
‘P+Q’ means ‘P is the daughter of Q’
‘P - Q’ means ‘P is the mother of Q’
‘P = Q’ means ‘P is the sister of Q’
‘P%Q’ means ‘P is the husband of Q’
If the expression ‘Q÷O-K+D and N÷M-Q@L’ is true which of the following is definitely true?
- A.
M is the sister-in-law of D
- B.
N is the son of L
- C.
L is the mother of O
- D.
Q is the brother-in-law of D
- E.
N is the son of K
Show answer & explanation
Correct answer: D
Concept
In a symbolic blood-relation chain, each operator encodes one relationship between the two names it sits between, and the chain is read step by step from left to right. To answer a "definitely true" question, build the family from these atomic links, fix each person's gender and generation, and only then translate any in-law relationship — an in-law is created through marriage or through one's sibling's spouse.
Decoding the operators used here
÷ → "is the brother of" (so the left name is male)
− → "is the mother of" (so the left name is female)
+ → "is the daughter of" (so the left name is female)
@ → "is the son of" (so the left name is male)
Application — build the family
Q ÷ O → Q is the brother of O, so Q is male and Q, O are siblings.
O − K → O is the mother of K, so O is female and a parent of K.
K + D → K is the daughter of D, so K is female and D is the other parent of K. Since O is K's mother, D must be K's father (male) and O's husband.
N ÷ M → N is the brother of M, so N is male and N, M are siblings.
M − Q → M is the mother of Q.
Q @ L → Q is the son of L, so L is the other parent of Q. Since M is Q's mother, L is Q's father.
Resulting structure
Parents L (father) and M (mother) have two children: Q (male) and O (female), because Q ÷ O makes them siblings sharing the parents M and L.
N is M's brother, i.e. one generation above Q/O — their maternal uncle.
O married D; their daughter is K.
Cross-check the relationship asked
D is married to O, and Q is O's own brother. A man and his wife's brother are brothers-in-law, so "Q is the brother-in-law of D" is definitely true. The pair (Q, D) is linked as sister's-husband to wife's-brother, which holds without any further assumption.