In a certain code language, A + B means 'A is the father of B' A - B means 'A is the brother of B' A × B means 'A is the mother of B' A ÷ B means 'A is the sister of B' Based on the above, how is I related to M if 'I + J ÷ K × L - M'?
Mother's father
Understanding Blood Relations Through Code Language
This question involves decoding relationships presented in a coded language. We are given rules for how different symbols (+, -, ×, ÷) represent blood relations between two individuals.
Decoding the Code Language Rules
Let's first list out the meaning of each symbol as provided in the question:
- A + B means 'A is the father of B'
- A - B means 'A is the brother of B'
- A × B means 'A is the mother of B'
- A ÷ B means 'A is the sister of B'
Our goal is to find the relationship between I and M based on the expression: I + J ÷ K × L - M.
Breaking Down the Expression 'I + J ÷ K × L - M'
We will decode the expression segment by segment, starting from the left:
- I + J: According to the rule 'A + B means A is the father of B', this means I is the father of J.
- J ÷ K: According to the rule 'A ÷ B means A is the sister of B', this means J is the sister of K.
- K × L: According to the rule 'A × B means A is the mother of B', this means K is the mother of L.
- L - M: According to the rule 'A - B means A is the brother of B', this means L is the brother of M.
Tracing the Relationships to Find I's Relation to M
Now let's link these relationships together to connect I and M:
- We know L is the brother of M. This means M's sibling is L.
- We know K is the mother of L. Since L is M's brother, K must also be the mother of M. So, K is M's mother.
- We know J is the sister of K. So, J is M's mother's sister (M's aunt).
- We know I is the father of J. Since J is K's sister, I, being the father of J, is also the father of K. So, I is the father of K.
Combining the final steps:
- K is M's mother.
- I is K's father.
Therefore, I is the father of M's mother.
Determining the Final Relationship
The father of one's mother is the maternal grandfather. Thus, I is the maternal grandfather of M.
Comparing with the Options
Let's look at the given options:
- Father
- Father's brother
- Mother's father
- Father's father
Our derived relationship, 'Mother's father', matches one of the options.
Conclusion on I's Relationship to M
Based on the coded relationships, I is the father of M's mother.
| Expression Part | Relationship | Meaning |
|---|---|---|
| I + J | I is father of J | I → J (Father) |
| J ÷ K | J is sister of K | J ↔ K (Siblings, J is female) |
| K × L | K is mother of L | K → L (Mother) |
| L - M | L is brother of M | L ↔ M (Siblings, L is male) |
Combining relationships:
- L is M's brother.
- K is L's mother ∴ K is M's mother.
- J is K's sister.
- I is J's father ∴ I is K's father (father of sister is father).
- Since K is M's mother and I is K's father, I is M's mother's father.
Revision Table: Blood Relation Concepts
Here is a quick summary of common blood relations that might be helpful:
| Relationship | Description |
|---|---|
| Father's father | Paternal Grandfather |
| Father's mother | Paternal Grandmother |
| Mother's father | Maternal Grandfather |
| Mother's mother | Maternal Grandmother |
| Father's brother | Paternal Uncle |
| Father's sister | Paternal Aunt |
| Mother's brother | Maternal Uncle |
| Mother's sister | Maternal Aunt |
Additional Information: Solving Blood Relation Puzzles
Solving blood relation puzzles often involves constructing a family tree or diagram based on the given information. For coded relationships, break down the expression piece by piece and deduce the relationship between adjacent individuals. Then, link these individual relationships to find the connection between the specific people asked about in the question.
Tips for solving blood relation questions:
- Read the rules for symbols carefully.
- Break the expression into smaller, manageable parts.
- Draw a diagram or family tree if it helps visualize the relationships.
- Determine the gender where possible, as it can be crucial (e.g., brother vs. sister).
- Trace the relationship step-by-step from one person to the other.
- Confirm your final derived relationship matches the options.
Important Questions from Coded Blood Relation Problems
If A @ B means A is the son of B, A # B means A is the husband of B and A * B means A is the daughter of B, then what does P @ Q * R # S mean?
If P $ Q means P is the husband of Q; P ! Q means P is the mother Q and P * Q means P is the daughter of Q, which of the following shows that Z is brother of W's wife, if Z is male?
If P $ Q means P is the brother of Q; P ! Q means P is the mother Q and P * Q means P is the son of Q, which of the following shows that W is brother of Z?
Read the following information carefully and answer the question given below:
M * N means ‘ M is the sister of N’
M % N means ‘ M is the father of N’
M # N means ‘M is the mother of N’
Which of the following option gives that, M is father of R?
If ‘A + B’ means ‘A is the mother of B’, ‘A - B’ means ‘A is the father of B’, ‘A × B’ means ‘A is the brother of B’, ‘A & B’ means ‘A is the son of B’, then how is M related to K in the expression ‘N − M + T × L & G & K’?
