In a certain artificial language used for genealogical tracking, familial relationships ar… — State PSC Exam

In a certain artificial language used for genealogical tracking, familial relationships are denoted by mathematical symbols as follows:

$X \star Y$ signifies that $X$ is the biological father of $Y$ .
$X \bullet Y$ signifies that $X$ is the biological mother of $Y$ .
$X \diamond Y$ signifies that $X$ is the brother of $Y$ .
$X \circ Y$ signifies that $X$ is the sister of $Y$ .

Evaluate the genealogical string $P \bullet Q \diamond R \star S \circ T$ . Which of the following accurately describes the relationship of $Q$ to $T$ ?

Paternal uncleAnswer
B
Nephew
C
Maternal uncle
D
Niece

Answer

Paternal uncle

In the given expression, tracing from right to left reveals that

S

and

T

are siblings. Moving to the next element,

R

is the father of

S

, which means

R

is also the father of

T

. Further left,

Q

is the brother of

R

. The brother of a person's father is their paternal uncle. Therefore,

Q

is the paternal uncle of

T

Step-by-Step Solution

Analyze the relationship at the right end of the string between S and T.

S \circ T

means

S

is the sister of

T

. They are siblings, but

T

's gender remains completely undetermined.

To establish the generational baseline and identify the youngest generation.

Analyze the relationship of R to S and T.

R \star S

means

R

is the father of

S

. Because

S

and

T

are siblings,

R

is also the father of

T

To move up one generation and identify the common parent of the siblings.

Analyze the relationship of Q to R.

Q \diamond R

means

Q

is the brother of

R

To establish

Q

's generational level and relationship to

T

's father.

Determine the final relationship from Q to T.

Since

Q

is the brother of

R

, and

R

is the father of

T

Q

is the brother of

T

's father. This makes

Q

the paternal uncle of

T

To connect the full chain and directly answer the specific question asked.

Key Concept

Coded Blood Relations and Generational Tracing

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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