Question

If (i) $P+Q$ means $P$ 'is the husband of' $Q$
(ii) $P÷Q$ means $P$ 'is the sister of' $Q$
(iii) $P\times Q$ means $P$ 'is the son of' $Q$,
then which of the following shows that $P$ is the daughter of $Q$ ?

• A. $R\times Q÷P$
• B. $Q+R\times P$
• C. $S\times Q+R÷P$
• D. $P÷S\times Q$
• E. None of these

Answer 1

The correct option is D $P÷S\times Q$

option A;

$R\times Q÷P$

means $R$ is the son of $Q$ who is the sister of $P$

$\Rightarrow$ $Q$ is the sister of $P$

option B;

$Q+R\times P$

means $Q$ is the husband of $R$ who is the son of $P$

Wrong conclusion

option C;

$S\times Q+R÷P$

means $S$ is the son of $Q$ who is the husband of $R$, who is sister of $P$

$\Rightarrow$ $Q$ is the brother-in-law of $P$.

option D;

$P÷S\times Q$

means $P$ is the sister of $S$ who is the son of $Q$.

$\Rightarrow$ $P$ is the daughter of $Q$

So option D gives the required relation.