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Question

‘A + B’ means ‘Ais brother of B’

‘A - B’ means ‘A is mother of B’

‘A × B’ means ‘A is husband of B’

‘A ÷ B’ means ‘A is sister of B’

If C ÷ B - E + A × F - D, 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

D is the daughter of B. 

Solving Blood Relation Puzzles

This question asks us to analyse a set of blood relation codes and an expression to determine which of the given statements is incorrect based on the relationships defined. Let's break down the given information and the expression step by step.

Understanding the Blood Relation Codes

  • ‘A + B’ means ‘A is brother of B’
  • ‘A - B’ means ‘A is mother of B’
  • ‘A × B’ means ‘A is husband of B’
  • ‘A ÷ B’ means ‘A is sister of B’

Analysing the Expression: C ÷ B - E + A × F - D

We will decode the expression from left to right:

  1. C ÷ B: According to the code, 'A ÷ B' means 'A is sister of B'. So, 'C ÷ B' means C is sister of B. This tells us C is female.
  2. B - E: According to the code, 'A - B' means 'A is mother of B'. So, 'B - E' means B is mother of E. This tells us B is female.
  3. E + A: According to the code, 'A + B' means 'A is brother of B'. So, 'E + A' means E is brother of A. This tells us E is male. Since B is the mother of E, B is also the mother of A (as E and A are siblings).
  4. A × F: According to the code, 'A × B' means 'A is husband of B'. So, 'A × F' means A is husband of F. This tells us A is male and F is female.
  5. F - D: According to the code, 'A - B' means 'A is mother of B'. So, 'F - D' means F is mother of D. This tells us F is female.

Synthesizing the Relationships

Let's put all the relationships together:

  • C is the sister of B. (C is female)
  • B is the mother of E and A. (B is female, E and A are her children)
  • E is the brother of A. (E is male)
  • A is the husband of F. (A is male, F is female)
  • F is the mother of D. (F is female)

From this, we can deduce further relationships:

  • A is the son of B.
  • A is married to F.
  • F is the mother of D. Since A is F's husband, A must be the father of D.
  • B is the mother of A, and A is the father of D. Therefore, B is the grandmother of D.
  • C is the sister of B. Therefore, C is the sister of A's mother, meaning C is the maternal aunt of A (and E) and the great-aunt of D.
Person Gender Relationships
C Female Sister of B, Maternal Aunt of A & E, Great-Aunt of D
B Female Mother of E & A, Grandmother of D
E Male Son of B, Brother of A
A Male Son of B, Brother of E, Husband of F, Father of D
F Female Wife of A, Mother of D
D ? Child of A & F, Grandchild of B, Great-grandchild of C's parents

Evaluating the Given Statements

Now let's check each statement against the relationships we deduced from the expression C ÷ B - E + A × F - D.

  1. D is the daughter of B.
    • We found that B is the grandmother of D (B is mother of A, A is father of D).
    • This statement says D is the daughter of B, which implies D is a child of B.
    • This contradicts our finding that B is the grandmother of D. Therefore, this statement is NOT correct.
  2. C is the sister of the mother of A.
    • The mother of A is B.
    • The statement says C is the sister of B.
    • Our analysis of C ÷ B shows that C is indeed the sister of B. Therefore, this statement is correct.
  3. F is the wife of the son of B.
    • B is the mother of E and A. Both E and A are sons of B (E is male, A is male husband of F).
    • The statement says F is the wife of 'the son of B'. A is a son of B.
    • Our analysis of A × F shows that A is the husband of F, meaning F is the wife of A.
    • Since A is a son of B, F is the wife of a son of B. Therefore, this statement is correct.
  4. B is the mother of A.
    • Our analysis of B - E + A shows that B is the mother of E, and E is the brother of A.
    • If B is the mother of E and E and A are siblings, then B is also the mother of A.
    • Therefore, this statement is correct.

Based on the evaluation, the statement that is NOT correct is "D is the daughter of B". D is the grandchild of B, not the child.

Conclusion

By decoding the given expression and mapping out the family relationships, we found that only one of the provided statements does not align with the established connections. The statement that is NOT correct is "D is the daughter of B", as D is B's grandchild.

Revision Table: Blood Relation Analysis

Code Relationship
+ Brother
- Mother
× Husband
÷ Sister

Expression: C ÷ B - E + A × F - D

Deduced Relationships:

  • C is sister of B
  • B is mother of E
  • E is brother of A
  • A is husband of F
  • F is mother of D

Combined relationships: C (sister) <--> B (mother of A & E) --> A (husband of F, father of D) --> D.

Additional Information: Solving Blood Relation Questions

Blood relation questions test your ability to understand and decode complex relationship structures. Here are some tips:

  • Break Down the Expression: Decode the expression part by part, identifying the relationship between adjacent people.
  • Assign Genders: Use the codes to determine the gender of individuals whenever possible. This helps in clarifying roles like mother, father, son, daughter, husband, wife, brother, sister.
  • Draw a Family Tree: Creating a simple diagram or tree structure is often the easiest way to visualize the relationships. Use symbols for gender (e.g., + for male, - for female) and lines for relationships (e.g., double line for marriage, single line for siblings, downward line for parent-child).
  • Synthesize Relationships: Combine the smaller relationship pieces to understand the connections between individuals who are not directly linked in the expression.
  • Evaluate Statements Carefully: Once you have a clear picture of the family structure, go through each statement provided in the options and verify its correctness based on your diagram or deductions. Pay close attention to words like 'not correct'.
  • Practice: The more you practice different types of blood relation problems, the quicker and more accurate you will become at decoding them.
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Similar Questions

  1. Directions: These questions are based on the following information:

    ‘P @ Q’ means ‘Q is the mother of P’.
    ‘P $ Q’ means ‘Q is the husband of P’.
    ‘P # Q’ means ‘Q is the sister of P’.
    ‘P & Q’ means ‘Q is the son of P’.

    If ‘Z # M $ C & D & E’ then how is E related with M?
  2. Directions: These questions are based on the following information:

    'P@Q' means 'Q is the mother of P'.
    'P $ Q' means 'Q is the husband of P'.
    'P#Q' means 'Q is the sister of P'.
    'P & Q' means 'Q is the son of P'.

    If 'A & B @ C & D # E' then how is A related with E?
  3. A - B means A is the sister of B 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 What is the relation in A × B + C?
  4. Directions: Study the following information carefully to answer the given questions:

     If 'A & B' means 'A is the mother of B'

     If 'A $ B' means 'A is the brother of B'

     If 'A # B' means 'A is the sister of B' 

    If 'A @ B' means 'A is the father of B' 

    If 'A % B' means 'A is the daughter of B'

     If 'A * B' means 'A is the son of B' 

    Which of the following means R is a brother of P?

  5. In a certain code language,

    ‘A + B’ means ‘A is the mother of B’;

    ‘A - B’ means ‘A is the brother of B’;

    ‘A x B’ means ‘A is the wife of B’;

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

    Based on the above, how is S related to P if ‘P x Q ÷ R – S x A’?

  6. In a certain code language, A + B means ‘A is the son of B’, A − B means ‘A is the wife of B’, A × B means ‘A is the brother of B’ and A ÷ B means ‘A is the mother of B’. Based on the above, how is T related to P if ‘P − M + R ÷ T × S’?

  7. In a certain code language,

    ‘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’; and,

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

    Based on the above, how is M related to T if ‘M # N @ L × P + T’?

  8. If,

    'C @ S' means 'C is the father of S',

    'C * S' means 'C is the brother of S',

    'C # S' means 'C is the sister of S',

    'C $ S' means 'C is the daughter of S',

    'C = S' means 'C is the mother of S',

    then how is Z related to Q in the following expression?

    Q $ R @ S * T  $ Z

  9. 'P @ Q' means 'P is the wife of Q'.

    'P # Q' means 'P is the brother of Q'.

    'P $ Q' means 'P is the father of Q'.

    'P - Q' means 'P is the daughter of Q'.

    If Z - B $ D $ G, then how is Z related to G?

  10. 'A + B' means 'A is the sister of B'.

    'A - B' means 'A is the brother of B'.

    'A × B' means 'A is the father of B'.

    'A ÷ B' means 'A is the wife of B'.

    If A + B - C ÷ D × E - F, then which of the following statements is NOT correct?


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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