If H+I means H is the sister of I; H−I means H is the brother of I and H×I means H is the mother of I, which of the following means that J is the daughter of P?
- AP−Q×J−M
- BP+Q−J×M
- CP−Q×J+M
- DP×Q−J+M
Solution & Step-by-step Explanation
We want an expression where J is the daughter of P. This means:
P is a parent of J (specifically mother based on available operators, or father if mediated through a mother/spouse sequence, but here × signifies mother).
J must be female (so J should be followed by a '+' to denote she is a sister).
Let's test Option C: P−Q×J+M
P−Q→P is the brother of Q (Male).
Q×J→Q is the mother of J.
J+M→J is the sister of M (Female).
Here, Q is the mother of J, and P is the maternal uncle of J. So this option is incorrect.
Let's test Option D: P×Q−J+M
P×Q→P is the mother of Q (Female).
Q−J→Q is the brother of J (Male).
J+M→J is the sister of M (Female).
Since Q and J are siblings (Q is the brother of J), and P is the mother of Q, it follows directly that P is also the mother of J. Since J is a sister (J+M), J is female.
Therefore, J is the daughter of P.
P is a parent of J (specifically mother based on available operators, or father if mediated through a mother/spouse sequence, but here × signifies mother).
J must be female (so J should be followed by a '+' to denote she is a sister).
Let's test Option C: P−Q×J+M
P−Q→P is the brother of Q (Male).
Q×J→Q is the mother of J.
J+M→J is the sister of M (Female).
Here, Q is the mother of J, and P is the maternal uncle of J. So this option is incorrect.
Let's test Option D: P×Q−J+M
P×Q→P is the mother of Q (Female).
Q−J→Q is the brother of J (Male).
J+M→J is the sister of M (Female).
Since Q and J are siblings (Q is the brother of J), and P is the mother of Q, it follows directly that P is also the mother of J. Since J is a sister (J+M), J is female.
Therefore, J is the daughter of P.