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Question

‘A + B’ means ‘A is the son of B’

‘A – B’ means ‘A is the wife of B’

‘A × B’ means ‘A is the father of B’

‘A ÷ B’ means ‘A is the brother of B’

If ‘C + M – S × K − P ÷ T’, then which of the following statements is NOT correct?

The correct answer is

K is the brother’s daughter of M.

Understanding Blood Relations from Coded Language

This question asks us to decode a series of relationships given in a coded format and then identify the statement that is NOT correct based on the derived family structure. We are given the following codes:

  • ‘A + B’ means ‘A is the son of B’
  • ‘A – B’ means ‘A is the wife of B’
  • ‘A × B’ means ‘A is the father of B’
  • ‘A ÷ B’ means ‘A is the brother of B’

The expression we need to analyze is ‘C + M – S × K − P ÷ T’.

Decoding the Expression Step-by-Step

Let's break down the expression segment by segment:

  • C + M: According to the first rule, C is the son of M. This tells us C is male.
  • M – S: According to the second rule, M is the wife of S. This tells us M is female and S is male. M and S are a married couple.
  • S × K: According to the third rule, S is the father of K. This means K is the child of S and M.
  • K − P: According to the second rule, K is the wife of P. This tells us K is female and P is male. K and P are a married couple.
  • P ÷ T: According to the fourth rule, P is the brother of T. This tells us P is male. The gender of T is not specified by this relationship.

Constructing the Family Structure

Based on the decoded relationships, we can build a simple family structure:

  • S and M are married. S is the husband, M is the wife.
  • C is the son of M. Since M is married to S, C is also the son of S. C is the child of S and M.
  • S is the father of K. Since S is married to M, K is also the child of M. K is the child of S and M.
  • From the above points, C and K are siblings (children of S and M).
  • K is the wife of P. K is female.
  • P is the brother of T. P is male.

Let's summarize the known genders: C (male), M (female), S (male), K (female), P (male). T's gender is unknown.

Evaluating Each Statement

Now, let's examine each given statement based on the family structure we derived:

Statement 1: K is the daughter of M.

  • We know that S is the father of K ($\text{S} \times \text{K}$) and M is the wife of S ($\text{M} - \text{S}$). Therefore, M is the mother of K.
  • We also know that K is the wife of P ($\text{K} - \text{P}$), which means K is female.
  • Since K is the child of M and is female, K is indeed the daughter of M.
  • This statement is correct.

Statement 2: C is the son of S.

  • We know that C is the son of M ($\text{C} + \text{M}$) and M is the wife of S ($\text{M} - \text{S}$).
  • Since M is married to S, M's son is also S's son. C is also the child of S.
  • We know C is male from 'C is the son of M'.
  • Therefore, C is the son of S.
  • This statement is correct.

Statement 3: K is the brother’s daughter of M.

  • We know K is the daughter of M (as verified in Statement 1).
  • M has a son C. C is K's brother.
  • M's brother would be a separate person, sibling of M.
  • The statement says K is the daughter of M's brother. This would mean K is M's niece.
  • However, our analysis shows K is M's daughter, not M's niece.
  • This statement is NOT correct.

Statement 4: K is the brother’s wife of T.

  • We know K is the wife of P ($\text{K} - \text{P}$).
  • We know P is the brother of T ($\text{P} \div \text{T}$).
  • So, K is the wife of P, and P is the brother of T.
  • This means K is the wife of T's brother.
  • This statement is correct.

Conclusion

We have evaluated all the statements based on the provided coded relationships. Statements 1, 2, and 4 are correct. Statement 3 is incorrect.

Therefore, the statement that is NOT correct is ‘K is the brother’s daughter of M.’

Relation Segment Interpretation Relationship Gender Inferred
C + M C is son of M C is M's son C: Male
M – S M is wife of S M is S's wife, S is M's husband M: Female, S: Male
S × K S is father of K S is K's father
K − P K is wife of P K is P's wife, P is K's husband K: Female, P: Male
P ÷ T P is brother of T P is T's brother
Statement Analysis Correct/Incorrect
K is the daughter of M. K is child of S & M (S is father, M is wife). K is female. Thus, K is M's daughter. Correct
C is the son of S. C is son of M. M is wife of S. Thus, C is son of S. Correct
K is the brother’s daughter of M. K is M's daughter. M's brother's daughter is M's niece. K is not M's niece. Incorrect
K is the brother’s wife of T. K is wife of P. P is brother of T. Thus, K is wife of T's brother. Correct

Revision Table: Blood Relation Concepts

Relationship Description
Son/Daughter Direct child of parents
Wife/Husband Spousal relationship
Father/Mother Parents of a child
Brother/Sister Siblings (children of the same parents)
Niece/Nephew Child of one's sibling
Uncle/Aunt Sibling of one's parent

Additional Information: Solving Coded Blood Relation Problems

Coded blood relation problems are common in competitive exams. The key to solving them is careful decoding and building a clear representation of the family tree or relationships.

  • Identify the Codes: Understand what each symbol (+, -, ×, ÷, etc.) represents in terms of relationships (son, wife, father, brother, etc.).
  • Break Down the Expression: Analyze the given expression segment by segment (e.g., A+B, then B-C, etc.).
  • Determine Genders: Pay close attention to which relationships explicitly state or imply the gender of a person (e.g., 'son' implies male, 'wife' implies female). Sometimes, gender might not be determinable for certain individuals.
  • Build a Diagram: Drawing a family tree diagram can be very helpful. Use symbols for gender (e.g., circle for female, square for male) and lines for relationships (e.g., horizontal line for marriage, vertical line for parent-child, horizontal line between siblings).
  • Trace Relationships: Once the structure is clear, trace the relationships mentioned in the question or the options to verify their correctness.

Practice with different types of coded questions will improve speed and accuracy.

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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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