Coded Relations — Prelims Questions

In a coded language, A@B means A is the father of B, A#B means A is the mother of B, A*B means A is the brother of B, and A%B means A is the sister of B. If P@Q#R*S%T, what is the relationship between P and T?

In a family coding system, if 1 represents father, 2 represents mother, 3 represents son, 4 represents daughter, and the sequence A-1-B means A is the father of B, then what does the sequence P-2-Q-1-R-4-S represent?

A coded system uses: X+Y means X is older than Y, X-Y means X is younger than Y, X=Y means X and Y are of the same age. If A+B-C=D+E, and all five are siblings, which statement must be true?

In a coded language, PQ means P is the spouse of Q, P&Q means P is the parent of Q, P#Q means P is the child of Q. If MN&O#P&Q, what is the relationship between M and Q?

A coding system represents family relationships where A→B means A is related to B by one generation down, A⇒B means A is related to B by two generations down, and A↔B means A and B are of the same generation. If X→Y⇒Z↔W, what can be concluded about X and W?