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Question

Suppose (i) "A*B" means "A is the father of B", (ii) "A $\Delta$ B" means "A is the husband of B", (iii) "A $\nabla$ B" means "A is the wife of B" and (iv) "A $\square$ B", means "A is the sister of B". Which of the following represents "C is the father-in-law of the sister of D"?

The correct answer is
C * E $\Delta$ F $\square$ D

Symbols Define Relations

  • A*B: A is the father of B (A is male).
  • A $\Delta$ B: A is the husband of B (A is male, B is female).
  • A $\nabla$ B: A is the wife of B (A is female, B is male).
  • A $\square$ B: A is the sister of B (A is female).

Target Relation Decoded

The goal is to represent "C is the father-in-law of the sister of D".

  • Let the "sister of D" be represented by a person, say F. According to the definition, F $\square$ D, which implies F is female.
  • C is the "father-in-law" of F. This means C is the father of F's spouse. Let F's spouse be E.
  • So, we need C to be the father of E (C * E), and E to be the spouse of F.
  • If E is the husband of F, then E $\Delta$ F. The combined chain is C * E $\Delta$ F $\square$ D.
  • If E is the wife of F, then E $\nabla$ F. The combined chain is C * E $\nabla$ F $\square$ D.

Option 4 Solves Puzzle

Let's examine the expression: C * E $\Delta$ F $\square$ D

  1. F $\square$ D: F is the sister of D. This correctly establishes F as female.
  2. E $\Delta$ F: E is the husband of F. This implies E is male and F is female. This is consistent with F being the sister of D.
  3. C * E: C is the father of E. This implies C is male.

Result: C is the father of E, and E is the husband of F. Therefore, C is the father of F's husband. This makes C the father-in-law of F. Since F is the sister of D, this expression accurately represents the required relationship.

Incorrect Options Rejected

Option 2 (C * E $\nabla$ F $\square$ D):

  • F $\square$ D implies F is female.
  • E $\nabla$ F implies E is the wife of F (E=Female, F=Male).
  • This leads to a contradiction: F must be male (as the husband of E) and female (as the sister of D) at the same time. Hence, Option 2 is invalid.

Other Options: Options 1 and 3 result in C being the direct parent (father or mother) of a person in the chain, not the father-in-law of the sister of D.

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Important Questions from Blood Relations (Notes)

  1. Pointing to a photograph Lata says, "He is the son of the only son of my grandfather."
    How is the man in the photograph related to Lata ?
  2. Introducing a man, a women said, "His wife is the only daughter of my father". How is that man related to the woman?
  3. In a family, D is the father of F and E only. D has one son. E is married to G. G is the son-in-law of P. G has one son H. K and J are the children of E. L is married to K. The total number of male members in the family is :
  4. There are six members A, B, C, D, E and F in a family. E is daughter of B and A is brother of B. C is father of A and D is brother of E. F is wife of C. Uncle of D is
  5. In a certain code language,
    A + B means ‘A is the mother of B’
    A - B means ‘A is the wife of B’
    A × B means ‘A is the sister of B’
    A ÷ B means ‘A is the father of B’

    Based on the above, how is S related to P if ‘S - K ÷ T × V + P’?
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