Blood Relations Logic Puzzle: Decoding Family Ties

This problem requires us to decode relationship symbols and determine which expression correctly shows 'J is the daughter of P'.

Understanding the Relationship Symbols

The given symbols represent specific family relationships:

• $H + I$ means H is the sister of I (H is female).
• $H - I$ means H is the brother of I (H is male).
• $H \times I$ means H is the mother of I (H is female).

Analyzing the Options to Find 'J is the daughter of P'

We need to find the option where P is the parent of J, and J is female.

Option 1: $P \times Q - J + M$

1. $P \times Q$: P is the mother of Q. This means P is female.
2. $Q - J$: Q is the brother of J. This means Q is male.
3. $J + M$: J is the sister of M. This means J is female.

Conclusion for Option 1: Since P is the mother of Q, and Q is the brother of J, P is the mother of J. As J is the sister of M, J is female. Therefore, P is the mother of J, and J is the daughter of P. This matches the required condition.

Option 2: $P + Q - J \times M$

1. $P + Q$: P is the sister of Q. P is female.
2. $Q - J$: Q is the brother of J. Q is male.
3. $J \times M$: J is the mother of M. J is female.

Conclusion for Option 2: P is the sister of Q. J is the mother of M. There is no direct link showing J is P's daughter.

Option 3: $P - Q \times J + M$

1. $P - Q$: P is the brother of Q. P is male.
2. $Q \times J$: Q is the mother of J. Q is female.
3. $J + M$: J is the sister of M. J is female.

Conclusion for Option 3: P is the uncle of J (brother of J's mother). This does not match.

Option 4: $P - Q \times J - M$

1. $P - Q$: P is the brother of Q. P is male.
2. $Q \times J$: Q is the mother of J. Q is female.
3. $J - M$: J is the brother of M. J is male.

Conclusion for Option 4: P is the uncle of J. Also, J is male. This does not match.

Final Answer Derivation

Based on the step-by-step analysis, only Option 1 ($P \times Q - J + M$) correctly represents the relationship where J is the daughter of P.