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Which of the following pairs is the parents of the couple ? 
 A.  CF
 B.  AB
 C.  AF
 D.  BC
Answer : D.

E is the daughter of A and F is the mother of E.
So, A is the father of E and hence the husband of F.
Now, D is the daughter of F. So, D and E are the daughters of A and F.
Also, A is the son of C. Now, only B remains. Thus, B and C are the parents of A.
Hence, B and C are the parents of the couple.

A woman introduces a man as the son of the brother of her mother. How is the man related to the woman? 
 A.  Uncle
 B.  Grandson
 C.  Cousin
 D.  Son
Answer : C.

Brother of mother– Uncle;
Uncle’s son – Cousin.

A told B that C is his father's nephew. D is A's cousin but not the brother of C. What relationship is there between D and C ? 
 A.  Father
 B.  Sisters
 C.  Aunt
 D.  Mother
Answer : B.

A has two cousins C and D.
Since C is male, D must be female.
And, both are the nephew and niece of A's father.

A, B, C, D, E, F and G are members of a family consisting of four adults and three children, two of whom, F and G are girls. A and D are brothers and A is a doctor. E is an engineer married to one of the brothers and has two children. B is married to D and G is their child. Who is C ? 
 A.  E's daughter
 B.  F's father
 C.  G's brother
 D.  A's son
Answer : D.

E is married to A or D. But B is married to D.
Thus, E is married to A. Thus, A, B, D, E are the four adults and C, F, G are the three children in the family.
B and D have a child G.
A and E have two children. They are C and F.
Now, only F and G are girls. So, C is a boy.
Thus, C is A's or E's son.

Pointing towards a person, a man said to a woman, “His mother is the only daughter of your father.” How is the woman related to that person? 
 A.  Sister
 B.  Daughter
 C.  Mother
 D.  Wife
Answer : C.

The only daughter of woman’s father is herself.
So, the person is woman's son.
i.e., the woman is the person’s mother.

Pointing out to a girl a man said "My uncle is the uncle of this girl's uncle". How is the man related to that girl ? 
 A.  Cousin
 B.  Brother
 C.  Father in law
 D.  Father
Answer : D.

The man's uncle and the uncle of girls uncle is the same person.
So he may be the father or uncle of the girl.