P is the brother of Q and R. S is R’s mother. T is P’s father. How many of the following statements are definitely true?
Only four
Analyzing Blood Relations Statements
The question provides several relationships and asks us to determine how many of the given statements are definitely true based on these relationships.
Let's break down the given information:
- P is the brother of Q and R. This means P, Q, and R are siblings. P is male (since he is a brother). The gender of Q and R is not specified yet.
- S is R's mother. Since P, Q, and R are siblings, S is also the mother of P and Q. S is female.
- T is P's father. Since P, Q, and R are siblings, T is also the father of Q and R. T is male.
From this, we can deduce that S (mother) and T (father) are the parents of P, Q, and R. Therefore, S and T are a couple.
Now, let's evaluate each statement provided:
- S and T are a couple.
As deduced from the parent-child relationships established for P, Q, and R, S is the mother and T is the father of the same children. Thus, S and T are definitely a couple. This statement is definitely true. - Q is T's son.
We know T is Q's father. However, the given information does not specify the gender of Q. Q could be a son or a daughter. Therefore, this statement is not definitely true. - T is Q's father.
We know T is P's father, and P and Q are siblings. This implies T is also the father of Q. This statement is definitely true. - S is P's mother.
We know S is R's mother, and P and R are siblings. This implies S is also the mother of P. This statement is definitely true. - R is T's daughter.
We know T is R's father. However, the given information does not specify the gender of R. R could be a son or a daughter. Therefore, this statement is not definitely true. - P is S's son.
We know S is P's mother. The information also states that P is the "brother" of Q and R, which means P is male. Therefore, P is definitely S's son. This statement is definitely true.
Let's count the statements that are definitely true:
- S and T are a couple. (True)
- Q is T's son. (Not definitely true)
- T is Q's father. (True)
- S is P's mother. (True)
- R is T's daughter. (Not definitely true)
- P is S's son. (True)
There are 4 statements that are definitely true.
| Statement | Analysis | Definitely True? |
|---|---|---|
| S and T are a couple | S and T are parents of the same children (P, Q, R). | Yes |
| Q is T's son | T is Q's father, but Q's gender is unknown. | No |
| T is Q's father | T is P's father and P, Q are siblings. | Yes |
| S is P's mother | S is R's mother and P, R are siblings. | Yes |
| R is T's daughter | T is R's father, but R's gender is unknown. | No |
| P is S's son | S is P's mother and P is male (brother). | Yes |
Based on the analysis, a total of four statements are definitely true.
Revision Table: Blood Relations Facts
| Relationship | Inference |
|---|---|
| P is brother of Q and R | P, Q, R are siblings. P is male. |
| S is R’s mother | S is mother of P, Q, R. S is female. |
| T is P’s father | T is father of P, Q, R. T is male. |
| S and T are parents of P, Q, R | S and T are a couple. |
Additional Information: Solving Blood Relation Questions
Blood relation questions test your ability to understand and interpret family relationships. Here are some tips for solving them:
- Identify Individuals and Genders: Note down the names of individuals and their known genders (if specified).
- Identify Relationships: List down the direct relationships given (e.g., 'is father of', 'is sister of').
- Draw a Family Tree: A diagram helps visualize the relationships. Use symbols like a circle for female, a square for male, a double line for a couple, and a single line for siblings or parent-child connections.
- Deduce Indirect Relationships: Use the given relationships to find indirect ones (e.g., if A is B's father and B is C's son, then A is C's grandfather).
- Analyze Statements Carefully: For each statement, check if it MUST be true based on the information and your deductions. Be cautious about assumptions regarding gender unless explicitly stated or implied (like 'brother' implies male).
- Focus on "Definitely True": The question asks for statements that are *definitely* true. If a statement *might* be true but isn't guaranteed by the information, it's not definitely true.
Practice drawing diagrams and deducing relationships to improve speed and accuracy in solving blood relation problems for exams.
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