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Question

A – B means ‘A is the mother of B’;

A × B means ‘A is the sister of B’;

A ÷ B means ‘A is the daughter of B’.

Which of the following expressions means ‘U is the daughter of Q?

This question was previously asked in
SSC CGL 2019 (Tier 2) GS Finance & Economics Previous Year Paper (17-Nov-2020)
The correct answer is

Q – Z × U ÷ K

Solving Blood Relation Code Problems

This question asks us to decipher a set of coded relationships and determine which expression correctly represents the statement 'U is the daughter of Q'. We need to break down each coded relationship and then analyze the given options.

Understanding the Relationship Codes

The problem provides the following definitions for the symbols used:

  • A – B means ‘A is the mother of B’.
  • A × B means ‘A is the sister of B’.
  • A ÷ B means ‘A is the daughter of B’.

From these definitions, we can see that the person mentioned first (A) in each code has a specific gender and relationship to the second person (B).

Target Relationship: U is the daughter of Q

We are looking for an expression where U is a female and is one generation below Q, with Q being a parent of U. Specifically, Q is the parent and U is the daughter.

Analyzing the Options to Find U is Daughter of Q

Let's examine each option provided:

Option 1: Q – Z ÷ U × K

  • Q – Z: Q is the mother of Z. (Q is female)
  • Z ÷ U: Z is the daughter of U. (Z is female, U is parent of Z)
  • U × K: U is the sister of K. (U is female)

From 'Q is mother of Z' and 'Z is daughter of U', it means Q and U are the parents of Z. Since Q is the mother, U must be the father of Z. This implies U is male. However, 'U is sister of K' implies U is female. There is a contradiction in the gender of U. This option does not consistently define relationships and does not lead to 'U is daughter of Q'.

Option 2: Q – Z × U ÷ K

  • Q – Z: Q is the mother of Z. (Q is female)
  • Z × U: Z is the sister of U. (Z is female)
  • U ÷ K: U is the daughter of K. (U is female, K is parent of U)

Let's trace the relationships:

  • Q is the mother of Z.
  • Z is the sister of U. This means Z and U are siblings. Since Q is the mother of Z, Q is also the mother of U.
  • U is the daughter of K. This means K is a parent of U.

Since Q is the mother of U, and K is also a parent of U, K must be the father of U. We are looking for 'U is the daughter of Q'. In this expression, U is confirmed as female (‘U is the daughter of K’) and Q is established as the mother of U (‘Q is the mother of Z’ and ‘Z is the sister of U’). Therefore, 'U is the daughter of Q' is true in this case.

Option 3: K – Z ÷ U × Q

  • K – Z: K is the mother of Z. (K is female)
  • Z ÷ U: Z is the daughter of U. (Z is female, U is parent of Z)
  • U × Q: U is the sister of Q. (U is female)

From 'K is mother of Z' and 'Z is daughter of U', it implies K and U are parents of Z. Since K is the mother, U must be the father of Z. This implies U is male. However, 'U is sister of Q' implies U is female. There is a contradiction in the gender of U. Also, U is the sister of Q, not the daughter of Q. This option is incorrect.

Option 4: K – U ÷ Z × Q

  • K – U: K is the mother of U. (K is female)
  • U ÷ Z: U is the daughter of Z. (U is female, Z is parent of U)
  • Z × Q: Z is the sister of Q. (Z is female)

Let's trace the relationships:

  • K is the mother of U.
  • U is the daughter of Z. This means Z is a parent of U. Since K is the mother, Z must be the father of U. (Z is male)
  • Z is the sister of Q. (Z is female)

There is a contradiction in the gender of Z (implied male, stated female). Furthermore, this expression implies U is the daughter of Z, where Z is the sibling of Q. This would make U the niece or nephew of Q, not the daughter of Q. This option is incorrect.

Conclusion

After analyzing all options, only Option 2, Q – Z × U ÷ K, correctly establishes the relationship 'U is the daughter of Q' without any contradictions in gender or relationship structure based on the given codes.

Expression Relationships Derived Does it mean 'U is daughter of Q'?
Q – Z ÷ U × K Q is mother of Z. Z is daughter of U. U is sister of K. (Gender contradiction for U) No
Q – Z × U ÷ K Q is mother of Z. Z is sister of U. U is daughter of K. (Q is mother of U, U is daughter of K. Means Q & K are parents of U, Q is mother, K is father. U is daughter of Q) Yes
K – Z ÷ U × Q K is mother of Z. Z is daughter of U. U is sister of Q. (Gender contradiction for U) No
K – U ÷ Z × Q K is mother of U. U is daughter of Z. Z is sister of Q. (Gender contradiction for Z. U is child of Z, who is sibling of Q) No

Revision Table: Blood Relation Codes

Code Meaning Implied Gender (1st Person)
A – B A is mother of B Female
A × B A is sister of B Female
A ÷ B A is daughter of B Female

Additional Information on Blood Relation Problems

Blood relation questions test your ability to understand and interpret family relationships. Coded blood relation problems require you to translate symbols into relationships and then construct a family tree or chain of relationships to find the answer.

Key steps for solving coded blood relation problems:

  • Carefully note down the meaning of each code or symbol.
  • Pay attention to which person in the relationship the code applies to (e.g., 'A is mother of B' means A's relationship to B is defined, not vice versa).
  • Trace the relationships step-by-step for each option.
  • Keep track of the gender of individuals when explicitly mentioned or implied by the relationship (like mother, sister, daughter implying female). Look out for contradictions.
  • Draw a diagram or family tree if the relationships become complex.
  • Compare the final relationship derived from the expression with the target relationship given in the question (e.g., 'U is daughter of Q').

Practice with different types of blood relation problems, including puzzles, dialogues, and coded relationships, to improve your speed and accuracy in competitive exams.

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Important Questions from General Blood Relation Problems

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