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Question

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'?

The correct answer is

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:

  1. I + J: According to the rule 'A + B means A is the father of B', this means I is the father of J.
  2. J ÷ K: According to the rule 'A ÷ B means A is the sister of B', this means J is the sister of K.
  3. K × L: According to the rule 'A × B means A is the mother of B', this means K is the mother of L.
  4. 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.
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Important Questions from Coded Blood Relation Problems

  1. ‘A # B’ means ‘A is the son of B’.

    ‘A @ B’ means ‘A is the mother of B’.

    ‘A & B’ means ‘A is the wife of B’.

    ‘A % B’ means ‘A is the sister of B’.

    If ‘M @ R % K # G # N & T’, then which of the following statements is NOT correct?

  2. ‘A % B’ means ‘A is the sister of B’.

    ‘A $ B’ means ‘A is the brother of B’.

    ‘A @ B’ means ‘A is the son of B’.

    ‘A & B’ means ‘A is the mother of B’.

    If ‘R % T & Z $ S @ V @ C % Y’, then which of the following statements is NOT correct?

  3. Read the given information carefully and answer the question that follows.

    ‘K $ D’ means ‘K is the father of D’.

    ‘K < D’ means ‘K is the wife of D’.

    ‘K > D’ means ‘K is the daughter of D’.

    'K @ D’ means ‘K is the son of D’.

    How is S related to N in the expression ‘H > R $ S @ T > N’?

  4. ‘R8S’ means ‘R is the father of S’.

    ‘R7S’ means ‘R is the sister of S’.

    ‘R6S’ means ‘R is the brother of S’.

    ‘R2S’ means ‘R is the wife of S’.

    Which of the following expressions represents ‘X is the mother of Y’?

  5. ‘A # B’ means ‘A is the father of B’.

    ‘A % B’ means ‘A is the mother of B’.

    ‘A @ B’ means ‘A is the sister of B’.

    ‘A & B’ means ‘A is the son of B’.

    If ‘G # M # T % S @ H & R & W @ U’, then which of the following statements is NOT correct?

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