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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?

  1. A
    P−Q×J−M
  2. B
    P+Q−J×M
  3. C
    P−Q×J+M
  4. D
    P×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.

Practice this question

Try it yourself before checking the explanation above.

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?
A
P−Q×J−M
B
P+Q−J×M
C
P−Q×J+M
D
P×Q−J+M

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