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Question

In a certain code language,

A + B means 'A is the daughter of B',

A - B means 'A is the brother of B’.

A × B means 'A is the son of B' and

A ÷ B means 'A is the husband of B’.

Based on the above, how is M related to O If 'H ÷ O + A - M + N'?  

The correct answer is

Fathers sister

Understanding Blood Relations in Code Language

This question asks us to decipher relationships expressed in a specific code language and then determine how two individuals are related based on a given expression. Let's break down the code and the expression step-by-step.

Decoding the Relationships

The problem provides a set of rules defining relationships using operators:

  • A + B means 'A is the daughter 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 husband of B'

Analyzing the Expression: H ÷ O + A - M + N

We need to analyze the given expression from left to right to build the family tree or understand the connections between the individuals.

  1. H ÷ O: According to the rule, 'A ÷ B' means 'A is the husband of B'. So, H is the husband of O. This tells us H is male and O is female. They are a couple.
  2. O + A: According to the rule, 'A + B' means 'A is the daughter of B'. So, O is the daughter of A. This confirms O is female (consistent with step 1) and places A one generation above O. A is O's parent.
  3. A - M: According to the rule, 'A - B' means 'A is the brother of B'. So, A is the brother of M. This tells us A is male and A and M are siblings, belonging to the same generation.
  4. M + N: According to the rule, 'A + B' means 'A is the daughter of B'. So, M is the daughter of N. This tells us M is female and places N one generation above M. N is M's parent.

Constructing the Family Connections

Let's consolidate the relationships we've derived:

  • H is married to O (H is male, O is female).
  • O is the daughter of A. This means A is O's parent.
  • A is the brother of M. This means A and M are siblings.
  • M is the daughter of N. This means N is M's parent.

From these points, we can infer more:

  • Since O is the daughter of A, and A is male (brother of M), A must be O's father.
  • A is the brother of M, and M is female (daughter of N). So, M is A's sister.

Determining the Relationship between M and O

We want to find out how M is related to O.

  • O's father is A.
  • M is A's sister.

Therefore, M is O's father's sister.

Checking the Options

Let's look at the provided options and see which one matches our finding:

Option Relationship
1 Father's wife
2 Father's mother
3 Fathers sister
4 Brother's mother

Our conclusion is that M is O's father's sister. Option 3 matches this relationship exactly.

Conclusion on M's Relationship to O

Based on the step-by-step analysis of the coded expression 'H ÷ O + A - M + N', we have determined the relationships between the individuals involved. O is the daughter of A, making A her father. A is the brother of M, and M is the daughter of N, making M A's sister. Therefore, M is the sister of O's father.

Revision Table: Key Relationship Codes

Code Relationship Meaning Gender of First Person (A)
A + B A is daughter of B Female
A - B A is brother of B Male
A × B A is son of B Male
A ÷ B A is husband of B Male

Additional Information on Blood Relations

Blood relation questions in competitive exams test your ability to interpret coded relationships or complex statements and build a family tree. Key aspects to remember include:

  • Generations: Clearly identify who is in which generation (grandparents, parents, children, grandchildren).
  • Genders: Determine the gender of each person whenever the code or statement provides this information.
  • Siblings and Spouses: Distinguish between relationships within the same generation (siblings, cousins, spouses) and across generations.
  • Step-by-Step Analysis: For coded relations, always break down the expression segment by segment to avoid errors.
  • Visual Representation: Drawing a diagram or family tree can be very helpful in visualizing the relationships and solving the problem accurately. Use symbols for male (\(\square\)), female (\(\bigcirc\)), marriage (\(\leftrightarrow\)), and siblings (\(-\)). Children are typically placed below parents.

Mastering these concepts is crucial for solving blood relation puzzles effectively in various exams.

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Important Questions from Coded Blood Relation Problems

  1. ‘R+S’ means ‘R is the daughter of S’. ‘R−S’ means ‘R is the husband of S’.‘R × S’ means ‘R is the brother of S’. If ‘T × V + Z’, then which of the following options is true?

  2. 'P × Q' means 'P is the wife of Q'. 'P + Q' means 'P is the father of Q'. 'P ÷ Q' means 'P is the daughter of Q'. 'P - Q' means 'P is the son of Q'. How is E related to I in the expression 'E ÷ F + G - H ÷ I' ?

  3. 'K % L' means 'K is the brother of L', 'K $ L' means 'K is the husband of L', 'K @ L' means 'K is the sister of L', 'K # L' means 'K is the mother of L'.

    How is H related to M in the expression ‘X @ P % T # M $ Y # J @ H’?

  4. If ‘A % B’ means ‘A is the father of B’, ‘A # B’ means ‘A is the brother of B’, and ‘A $ B’ means ‘A is the wife of B’, then how is K related to R in the given expression?

    K $ H % Y # M # R

  5. If 'A + B' means 'A is the daughter of B ', 'A × B' means 'A is the sister of B', and 'A = B' means 'A is the wife of B', then how is G related to R in the expression 'C × G × U + M = R'?

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