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Each of $P, Q, R, S, W, X, Y$and $Z$ has been married at most once. $X$ and $Y$ are married and have two children $P$ and $Q. Z$ is the grandfather of the daughter $S$ of $P$. Further, $Z$ and $W$ are married and are parents of $R$. Which one of the following must necessarily be FALSE?

1. $X$ is the mother-in-law of $R$
2. $P$ and $R$ are not married to each other
3. $P$ is a son of $X$ and $Y$
4. $Q$ cannot be married to $R$

edited | 132 views
Migrated from GO Electronics 8 months ago by Arjun
+1

+1 vote

Let $\to$ represent the child relation.

• $\{X,Y\} \to P, Q$
• $P \to S$
• $\{Z,W\}\to R$
• Further either $P$ or $P's$ spouse is the child of $Z$ so that $S$ become the grand daughter of $Z.$
1.  $X$ is the mother-in-law of $R$ -- possible if $X$ is married to either $P$ or $Q.$
2. $P$ and $R$ are not married to each other -- $P$ has only $R$ to marry as $Q$ is a spouse and $S$ daughter, but $P$ can also be married to anyone not mentioned in the question. So, this is possible.
3. $P$ is a son of $X$ and $Y$ -- possible as $P$ can either be a son or daughter of $X$ and $Y.$
4. $Q$ cannot be married to $R$ -- FALSE as $Q$ can be married to $R.$

Correct Option: D

by Veteran (434k points)

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