Based on the defined relational operations where P \star Q represents 'P is the sister of … — State PSC Exam

Based on the defined relational operations where $P \star Q$ represents ' $P$ is the sister of $Q$ ' and $P \sharp Q$ represents ' $P$ is the father of $Q$ ', analyze the expression $A \sharp B \star C$ . Based strictly on this expression, how is $C$ related to $A$ ?

A
Son
B
Daughter
C
Brother
Cannot be uniquely determined due to unspecified genderAnswer

Answer

The relationship cannot be uniquely determined because the gender of

C

is not specified in the given expression.

The expression reveals that

A

is the father of

B

and

B

is the sister of

C

. This makes

C

a child of

A

. However, because there is no statement defining

C

's gender, it is impossible to specify whether

C

is a son or a daughter. Hence, the relationship cannot be uniquely determined.

Step-by-Step Solution

Decode the first segment of the expression (

A \sharp B

A

is the father of

B

. This establishes that

A

is male and belongs to the upper generation.

The symbol

\sharp

defines a parent-child relationship where the first person is the father.

Decode the second segment of the expression (

B \star C

B

is the sister of

C

. This establishes that

B

is female and

B

and

C

are siblings.

The symbol

\star

defines a sibling relationship.

Combine the relationships to find how

C

is related to

A

Since

A

is the father of

B

, and

B

is the sibling of

C

A

is also the father of

C

. Therefore,

C

A

's child.

Children of the same set of parents share the same father.

Evaluate the gender of

C

No operational symbol follows

C

to indicate whether

C

is male or female. Thus,

C

could be either a son or a daughter.

In blood relation logic, gender cannot be assumed without explicit relational indicators.

Key Concept

Gender Determination in Coded Blood Relations

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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