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Question

‘A + B’ means ‘A is the father of B.

‘A - B’ means ‘A is the son of B’.

‘A × B' means ‘A is the sister of B’.

‘A ÷ B’ means ‘A is the wife of B’.

If H + I - J × K × L - M ÷ N, then which of the following statements is NOT correct?  

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

J is the wife of the son of M.

To solve this blood relations reasoning question, we need to decode the given expression based on the defined relationships and then evaluate each statement to find the one that is not correct.

Decoding the Coded Relationships

The given codes represent specific relationships:

  • A + B means A is the father of B.
  • A - B means A is the son of B.
  • A × B means A is the sister of B.
  • A ÷ B means A is the wife of B.

Analyzing the Expression: H + I - J × K × L - M ÷ N

Let's break down the expression segment by segment:

  1. H + I: H is the father of I. This tells us H is male.
  2. I - J: I is the son of J. This tells us I is male. Since H is the father of I and I is the son of J, J must be the mother of I. Therefore, H and J are husband and wife. J is female.
  3. J × K: J is the sister of K. This tells us J is female (already known). J and K are siblings.
  4. K × L: K is the sister of L. This tells us K is female. K and L are siblings. Combining with the previous point, J, K, and L are siblings. J and K are sisters.
  5. L - M: L is the son of M. This tells us L is male. Since J, K, and L are siblings, and L is the son of M, M must be the parent of J, K, and L.
  6. M ÷ N: M is the wife of N. This tells us M is female. If M is the wife of N, N must be the husband of M, and N is male. Since M is the parent of J, K, L, and M is married to N, both M and N are parents of J, K, and L.

Summary of Relationships

From the decoding, we can summarize the relationships:

  • N and M are husband and wife.
  • J, K, and L are children of N and M.
  • J is female, K is female, L is male. (J and K are sisters, L is their brother).
  • J is married to H.
  • H and J have a son, I.

Evaluating the Statements

Now let's check each given statement against our derived relationships:

Statement 1: H is the husband of the sister of K.

  • Sister of K: From our summary, J is the sister of K. L is the brother of K. So, J is a sister of K.
  • Is H the husband of J? Yes, we determined that H and J are husband and wife.
  • Therefore, Statement 1 is CORRECT.

Statement 2: J is the wife of the son of M.

  • Son of M: M and N have children J, K, L. L is male (L - M), so L is a son of M.
  • Is J the wife of L? From our summary, J is married to H. L is her brother.
  • Therefore, Statement 2 is INCORRECT. J is the sister, not the wife, of the son of M (L).

Statement 3: H is the husband of the sister of L.

  • Sister of L: From our summary, J and K are sisters of L.
  • Is H the husband of a sister of L (either J or K)? Yes, H is the husband of J, and J is a sister of L.
  • Therefore, Statement 3 is CORRECT.

Statement 4: H is the husband of the daughter of M.

  • Daughter of M: M and N have children J, K, L. J and K are female, so they are daughters of M.
  • Is H the husband of a daughter of M (either J or K)? Yes, H is the husband of J, and J is a daughter of M.
  • Therefore, Statement 4 is CORRECT.

Based on our evaluation, the statement that is NOT correct is Statement 2.

Revision Table: Key Relationships

Expression Segment Relationship Inferred Gender/Relation
H + I H is father of I H (Male)
I - J I is son of J I (Male), J (Mother of I), H & J (Married)
J × K J is sister of K J & K (Siblings)
K × L K is sister of L K & L (Siblings), J, K, L (Siblings)
L - M L is son of M L (Male), M (Parent of J, K, L)
M ÷ N M is wife of N M (Female), N (Male), M & N (Parents of J, K, L)

Additional Information: Strategies for Blood Relations

Solving blood relations problems, especially those with coded relationships, requires a systematic approach:

  • Write down the codes: Keep the list of what each symbol means handy.
  • Break down the expression: Analyze the expression segment by segment, determining the direct relationship between each pair of individuals.
  • Infer genders: Note down the gender of each person as you deduce it. This is crucial as relationships like son/daughter, father/mother, husband/wife imply gender.
  • Build a family tree: For complex expressions, drawing a simple family tree diagram can help visualize the relationships clearly. Place individuals on different levels representing generations.
  • Combine information: Link different parts of the expression to build a complete picture of the family structure.
  • Evaluate statements carefully: Once the family structure is clear, check each statement against it. Pay close attention to relationships like "son of the mother", "husband of the sister", etc., which involve tracing multiple steps in the tree.
  • Identify the question type: Does the question ask for the correct statement, the incorrect statement, the relationship between two people, or the gender of someone? Read the question carefully.

Practice with various types of coded blood relations questions helps improve speed and accuracy.

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Similar Questions

  1. If S - T means that S is the mother of T, S × T means that S is the father of T, S + T means that S is the sister of T, then which of the following expression shows that P is the mother of R?

  2. If A × B means that A is the father of B, A ÷ B means that A is the mother of B, A + B means that A is the brother of B then which of the following expression shows that P is the paternal grandmother of R?

  3. ‘A @ B’ means ‘A is the husband of B’.

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

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

    If F & G @ H # I @ J, then how is G related to J?

  4. A - B means ‘A is the mother of B’

    A * B means ‘A is the husband of B’

    A % B means ‘A is the brother of B’

    A $ B means ‘A is the sister of B’

    If I * J - K % L $ M * N, then how is I related to N?

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

    A @ B means ‘A is the son of B’.

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

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

    If W @ Q % T & Y @ M % K, then how is W related to K?

  6. A # B means ‘A is the brother of B’

    A @ B means ‘A is the son of B’

    A & B means ‘A is the wife of B’

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

    If A % B & C # D @ E, then how is B related to E?

  7. A # B means ‘A is the sister of B’.

    A @ B means ‘A is the son of B’.

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

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

    If W & Q # T & Y @ M % K, then how is Q related to K?

  8. If A × B means that A is the brother of B, A – B means that A is the sister of B, A + B means that A is the father of B then which of the following expression shows that P is the father of R?
  9. ‘A @ B’ means ‘A is the husband of B’.

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

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

    If S @ T # P @ Q # R & V, then how is T related to Q?

  10. If X × Y means that X is the mother of Y, X – Y means that X is the father of Y, X ÷ Y means that X is the sister of Y, then which of the following expression shows that P is the paternal grandfather of R?


Important Questions from Coded Blood Relation Problems

  1. 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? 

  2. 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?

  3. 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?

  4. 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?

  5. 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’?

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