Question

If ``$P + Q - R \div T$'', how is $T$ related to $P$?

• A. Aunt
• B. Father
• C. Grandmother
• D. None of these
• A. \(P \times R - Q - T\)
• B. \(P \div T + R - Q\)
• C. \(P \div R - Q + T\)
• D. \(P \times T - Q + R\)
• A. Daughter
• B. Husband
• C. Son-in-law
• D. None of these
• A. Grandmother
• B. Mother-in-law
• C. Sister
• D. Grandfather
• A. Aunt
• B. Sister
• C. Brother
• D. Grandson
• A. Son
• B. Nephew
• C. Niece
• D. Grandson

Answer 1

The Correct Option is D

From the code: \[ P + Q \Rightarrow P \text{ is daughter of } Q, \] \[ Q - R \Rightarrow Q \text{ is brother of } R, \] \[ R \div T \Rightarrow R \text{ is mother of } T. \] Since $Q$ and $R$ are siblings and $P$ is $Q$'s daughter while $T$ is $R$'s child, $P$ and $T$ are cousins. Cousin is not among the options, so the answer is {None of these}.

Answer 2

Decode (D): \[ P \times T \Rightarrow P \text{ is father of } T, \] \[ T - Q \Rightarrow T \text{ is brother of } Q \ (\text{same parents}), \] \[ Q + R \Rightarrow Q \text{ is daughter of } R. \] Since $T$ and $Q$ are siblings, they share the same parents. One parent is $P$ (father), and the other is $R$ (parent of $Q$). Thus $R$ must be the mother of the children and therefore the wife of $P$.

Answer 3

Decode: \[ P \times T \Rightarrow P \text{ is father of } T, \] \[ T \div Q \Rightarrow T \text{ is mother of } Q, \] \[ Q + R \Rightarrow Q \text{ is daughter of } R. \] So $P$ is father of $T$, $T$ is mother of $Q$ $\Rightarrow$ $P$ is maternal grandfather of $Q$. Since $Q$ is the daughter of $R$, $R$ must be the father of $Q$ and hence the husband of $T$. Therefore, relative to $P$ (father of $T$), $R$ is the son-in-law.

Answer 4

Decode: \[ P \div R \Rightarrow P \text{ is mother of } R, \] \[ R - Q \Rightarrow R \text{ is brother of } Q \Rightarrow P \text{ is also mother of } Q, \] \[ Q \times T \Rightarrow Q \text{ is father of } T. \] Thus $P$ is the mother of $Q$, who is the father of $T$; therefore $P$ is the grandmother of $T$.

Answer 5

Decode: \[ R \div Q \Rightarrow R \text{ is mother of } Q, \] \[ Q + R \Rightarrow Q \text{ is daughter of } R \ (\text{so } Q \text{ is female}), \] \[ R \times T \Rightarrow R \text{ is father of } T. \] Both $Q$ and $T$ are children of $R$, so they are siblings. From the last relation, $T$ is taken to be a son of $R$, hence $T$ is the {brother} of $Q$.

Answer 6

Decode: \[ R - P \Rightarrow R \text{ is brother of } P, \] \[ P \div J \Rightarrow P \text{ is mother of } J \Rightarrow J \text{ is child of } P, \] \[ J \times Q \Rightarrow J \text{ is father of } Q \Rightarrow J \text{ is male. } \] Since $R$ is brother of $P$, and $J$ is the (male) child of $P$, $J$ is the nephew of $R$.