There are six persons, M, N, P, Q, R and S, in a family. S is the paternal grandmother of M. P is the sister of R. N is the father of P. M is the only son of Q and R. N does not have any married daughter. How is M related to N?
Solving the Family Relationship Puzzle
This question asks us to determine the relationship between two individuals, M and N, based on a series of given relationships within a family of six people: M, N, P, Q, R, and S. Let's break down each piece of information provided to build the family structure.
Analyzing the Given Relationships
- S is the paternal grandmother of M: This means S is the mother of M's father. So, M's father's mother is S.
- P is the sister of R: P and R are siblings.
- N is the father of P: Since P is R's sister, N is also the father of R. Therefore, N is the father of both P and R.
- M is the only son of Q and R: Q and R are the parents of M. M is male.
- N does not have any married daughter: N's children are P and R. This condition provides extra information about them, particularly P, if she is a daughter.
Building the Family Structure Step-by-Step
From the relationships, we can start linking people:
- N is the father of P and R. This places N one generation above P and R. P and R are siblings.
- Q and R are the parents of M. M is in the generation below Q and R. M is male and is their only son.
- S is the paternal grandmother of M. This means S is the mother of M's father.
Now, let's connect these pieces. We know Q and R are M's parents. One must be the father, and the other the mother. We also know S is the mother of M's father.
Consider the relationship N is the father of R. If R is M's father, then N is R's father, which makes N M's paternal grandfather. If N is M's paternal grandfather, then N's wife (or partner) would be M's paternal grandmother.
We are told S is M's paternal grandmother. This fits perfectly if R is M's father and N is R's father (and S is R's mother/N's wife). In this scenario:
- R is M's father.
- Q is M's mother.
- N is R's father (M's paternal grandfather).
- S is R's mother (M's paternal grandmother).
Let's check the condition "N does not have any married daughter". N's children are P and R. If R is M's father (male), then P must be female (sister of R). P is N's daughter. The condition states she is not married. This does not contradict our structure.
Therefore, the established structure is consistent with all the given information:
| Person | Relationship based on clues |
|---|---|
| N | Father of R and P |
| R | Child of N, Sibling of P, Father of M (M is only son of Q and R, and R is son of N, making R male) |
| P | Child of N, Sibling of R, Daughter of N (since R is male) |
| S | Mother of R (since S is paternal grandmother of M and R is M's father) |
| Q | Mother of M (since Q and R are M's parents and R is father) |
| M | Son of Q and R |
From this structure, we see that N is the father of R, and R is the father of M. This makes N the grandfather of M.
Determining the Relationship between M and N
Since N is M's grandfather, the relationship of M to N is that M is N's grandson (as M is male and the son of N's child, R).
The question asks: How is M related to N?
M is the grandson of N.
Revision Table: Key Relationships
| Relationship Given | Inference |
|---|---|
| S is paternal grandmother of M | S is the mother of M's father |
| P is sister of R | P and R are siblings |
| N is father of P | N is father of R (as P & R are siblings) |
| M is only son of Q and R | Q and R are M's parents; M is male |
| Combined: N is father of R, and Q & R are parents of M. S is mother of M's father. | If R is M's father, then N is M's father's father (grandfather), and S is M's father's mother (grandmother). This aligns perfectly. |
Additional Information: Family Tree Reasoning
Solving family relationship questions involves building a logical structure based on the given clues. It's often helpful to draw a simple family tree diagram to visualize the connections and generations. Paternal refers to relationships on the father's side of the family, while maternal refers to relationships on the mother's side.
In this problem, identifying M's father was crucial because S is the paternal grandmother, meaning S is the mother of M's father. Once R was identified as M's father (supported by N being father of R and S being paternal grandmother), the relationship of M to N (N being R's father) became clear. N is M's grandfather, and M is N's grandson.
Important Questions from Family Tree Problems
C is the brother of B and D is the grandfather of E. B is the daughter-in-law of D and A is the father of E. How is C related to E?
Mira is the wife of Ketan. Chaitanya is the brother of Kapila, who is the wife of Sudeep. Rani is the mother of Ketan and the wife of Surendra. Chaitanya is the son of Rani. How is Surendra related to Sudeep?
L is the mother of M. L has only two children. N is the sister of M. N is the daughter of K. Z is the grandson of K. O is the mother of Z. How is O related to N?
Ravali does not have any brother. Girima is the wife of Arjun. Zakir is the husband of Malavi. Chaya is the daughter of Ravali. Fatima is the daughter of Arjun. Malavi is the mother of Ravali. Girima is the maternal aunt of Chaya. How is Girima related to Zakir?
There are 8 members P, Q, R, S, T, U, V and W are in a joint family. Q is brother of S. V is son of Q and R. S is brother of U. W is daughter of S and T. P is the wife of V. How is R related to P?
