A, B, C, D, and E are five members of a family. A is the father of B and grandfather of D. C is the mother of D and wife of B. E is the brother of C. How is E related to A?
Answer: B
A is father of B. B is husband of C. A is husband of C's mother (implied). E is brother of C. E is sibling of B's wife, making E brother-in-law of B and brother-in-law of A.
Q.2Hard
In a code language, P ÷ Q means P is the father of Q, P × Q means P is the mother of Q, and P - Q means P is the brother of Q. If R ÷ S × T - U, how is R related to U?
Answer: B
R ÷ S = R is father of S. S × T = S is mother of T. T - U = T is brother of U. So R is father of S, S is mother of T, T is uncle of U. R is grandfather of U.
Q.3Hard
Pointing to a man in a photograph, a woman says, 'His brother's father is my father's son.' What is the relationship between the woman and the man?
Answer: A
Woman's father's son = Woman's brother (or the woman if she's referring to herself as son, unlikely). Man's brother's father = Man's father. So man's father = woman's father. They are siblings or married. Given context, likely husband-wife (or siblings, but most reasonable is husband).
Q.4Hard
If A is the aunt of B, B is the cousin of C, and C is the brother of D, then what can be said about the relationship between A and D?
Answer: D
A is aunt of B. B is cousin of C. C is brother of D. From this, we cannot determine if A and D are related by blood or how. The relationship depends on which side the cousin is from.
Q.5Hard
If A and B are siblings, B and C are siblings, but A and C are not related as siblings. What is the relationship between A, B, and C?
Answer: C
If A and B are siblings, and B and C are siblings, then A and C must also be siblings (either full or half). The given condition contradicts this logical relationship.
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Q.6Hard
If symbols mean: + = 'father of', - = 'mother of', × = 'brother of', ÷ = 'sister of'. Then A + B - C × D means what is the relationship between A and D?
Answer: A
A + B means A is father of B. B - C means B is mother of C. C × D means C is brother of D. So A is grandfather of C and D, but specifically A is the great-uncle or uncle depending on gender, but most likely uncle of D.
Q.7Hard
Kavya says, 'My father's wife's father's son's wife is my mother.' Which relationship is impossible here?
Answer: B
Kavya's father's wife is Kavya's mother. Her mother's father is Kavya's maternal grandfather. His son is Kavya's maternal uncle. His wife is Kavya's aunt. For this to be Kavya's mother creates a logical impossibility requiring the father to marry his sister.
Q.8Hard
A woman's son's wife's mother is the woman's neighbor. If the neighbor has no children except her daughter, what is the neighbor's relationship to the woman?
Answer: D
The woman's son's wife's mother is the neighbor. This makes the neighbor the mother-in-law of the woman's son, but without knowing if they share any blood relations otherwise, the exact relationship cannot be determined.
Q.9Hard
Divya said, 'My father's mother's son's son is my cousin.' Based on this, the cousin is actually Divya's:
Answer: C
Father's mother's son = Father's brother (Uncle). Uncle's son = Cousin. Cousin's son = First cousin once removed (or second cousin in some contexts). However, if interpreted as cousin's relation, it's second cousin.
Q.10Hard
If A + B means 'A is the father of B,' A - B means 'A is the mother of B,' and A × B means 'A is the brother of B,' then what does M + N - O × P mean?
Answer: C
M + N = M is father of N. N - O = N is mother of O. O × P = O is brother of P. So N is mother of both O and P, making M their grandfather. M is grandfather of P.
Q.11Hard
Pointing to a girl, Harsh said, 'She is the daughter of my mother's sister's son.' How is the girl related to Harsh?
Answer: B
Mother's sister = Aunt. Aunt's son = Cousin. Cousin's daughter = Second cousin (or first cousin once removed).
Q.12Hard
Mona said, 'My mother's father's wife is the only daughter of my father's father-in-law.' What is the relationship between Mona and the woman mentioned?
Answer: A
Mother's father's wife = Maternal grandmother. Father's father-in-law = Father's father-in-law's daughter = Paternal grandmother or related female. The woman is Mona's grandmother.
Q.13Hard
In a family: X is married to Y. X has a sister Z. Z is married to W. W has a brother V. How is V related to X?
Answer: D
V is W's brother. W is married to Z (X's sister). V's relation to X depends on whether V is X's brother-in-law through W's marriage or unrelated. It cannot be definitively determined without more information.
Q.14Hard
If A × B means 'A is the father of B,' A ÷ B means 'A is the mother of B,' A + B means 'A is the brother of B,' and A - B means 'A is the sister of B,' then what does M × N ÷ O mean?
Answer: B
M × N means M is the father of N. N ÷ O means N is the mother of O. Combined: M is the father of N, and N is the mother of O. Therefore, M is the grandfather of O.
Q.15Hard
Sanjay said to a woman, 'Your son is my son's father.' How is the woman related to Sanjay?
Answer: B
Let woman = W, her son = W's son. W's son is Sanjay's son's father. This means W's son = Sanjay. So W is Sanjay's mother.
Q.16Hard
Raj said, 'The father of my daughter's mother is my...' How would Raj complete the sentence?
Answer: A
Raj's daughter's mother = Raj's wife. The father of Raj's wife = Raj's father-in-law. But the question asks who he is to Raj - his wife's father is Raj's father-in-law. However, rephrased: father of my wife = my father. This is contextually asking for one's own father.
Q.17Hard
If P is Q's maternal uncle, Q is R's sister, and R is S's father, then how is P related to S?
Answer: C
# Relationship Logic Problem: Finding P's Relation to S
[Understanding family relationships requires tracing connections through intermediate family members.]
Step 1: Identify P's Relationship to Q
P is Q's maternal uncle, meaning P is the brother of Q's mother.
P→(brother of)→Q’s Mother
Step 2: Identify Q's Relationship to R
Q is R's sister, meaning Q and R share the same parents.
Q→(sister of)→R
Step 3: Identify R's Relationship to S
R is S's father, making S the son/daughter of R.
R→(father of)→S
Step 4: Trace the Complete Connection
P is Q's mother's brother → Q's mother is R's mother → P is R's uncle → R is S's father → P is S's great-uncle (the uncle of S's father).
