In a certain coded language, family relationships are represented as follows: P \star Q me… — State PSC Exam

In a certain coded language, family relationships are represented as follows:

$P \star Q$ means $P$ is the father of $Q$ .
$P \diamond Q$ means $P$ is the mother of $Q$ .
$P \triangle Q$ means $P$ is the brother of $Q$ .
$P \nabla Q$ means $P$ is the sister of $Q$ .

Based on the expression $Kiran \star Anjali \nabla Samir \triangle Rohan$ , what is the relationship of Rohan to Kiran?

A
Son
B
Daughter
C
Grandson
Cannot be determinedAnswer

Answer

The relationship cannot be determined because Rohan's gender is not explicitly stated in the expression.

The expression establishes that Anjali, Samir, and Rohan are all siblings, placing them in the generation immediately below Kiran. Because Kiran is Anjali's father, Kiran is the father of all three. However, the expression ends with '

Samir \triangle Rohan

', which only tells us that Samir is a brother to Rohan. It provides zero information about Rohan's gender. Because strict logical reasoning rules dictate that gender cannot be assumed from a proper name, Rohan could be either the son or the daughter of Kiran. Therefore, the exact relationship cannot be definitively determined.

Step-by-Step Solution

Decode the first relationship:

Kiran \star Anjali

Kiran is the father of Anjali.

The

\star

symbol designates the first person as the father of the second person.

Decode the second relationship:

Anjali \nabla Samir

Anjali is the sister of Samir.

The

\nabla

symbol designates the first person as the sister. Combined with Step 1, this means Samir is also a child of Kiran.

Decode the third relationship:

Samir \triangle Rohan

Samir is the brother of Rohan.

The

\triangle

symbol designates the first person as the brother. This means Rohan is a sibling to both Anjali and Samir, and therefore is a child of Kiran.

Determine Rohan's gender to finalize the relationship to Kiran.

Rohan's gender remains completely unknown.

The final operator only defines Samir's gender (as a brother). Strict logical reasoning rules prohibit assuming gender from the name 'Rohan'. Thus, Rohan could be either a son or a daughter.

Key Concept

Coded Blood Relations and Logical Gender Constraints

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