If A + B means 'A is the brother of B', A \times B means 'A is the father of B', and A - B… — State PSC Exam

If $A + B$ means ' $A$ is the brother of $B$ ', $A \times B$ means ' $A$ is the father of $B$ ', and $A - B$ means ' $A$ is the sister of $B$ ', then in the expression $P \times Q + R$ , how is $R$ related to $P$ ?

A
Son
B
Daughter
Either Son or DaughterAnswer
D
Nephew

Answer

R is either the son or daughter of P.

The expression

P \times Q

establishes that

P

is the father of

Q

. The expression

Q + R

establishes that

Q

is the brother of

R

. Together, this means

P

is the father of both

Q

and

R

. Since the expression does not give any information about the gender of

R

R

can be either a male child (son) or a female child (daughter) of

P

. Therefore, the relation is 'Either Son or Daughter'.

Step-by-Step Solution

Decode the first relation

P \times Q

P

is the father of

Q

(meaning

P

is male and one generation above

Q

The symbol '

\times

' indicates that the first person is the father of the second person.

Decode the second relation

Q + R

Q

is the brother of

R

(meaning

Q

is male and shares the same parents as

R

The symbol '+' indicates that the first person is the brother of the second person.

Determine the relation between

P

and

R

and analyze gender constraints

Since

P

is the father of

Q

, and

Q

R

's sibling,

P

must also be the father of

R

. However,

Q + R

does not specify whether

R

is male or female.

A brother relationship '

Q

is the brother of

R

' specifies the gender of

Q

(male), but not the gender of

R

Key Concept

Gender Determination in Coded Blood Relations

Estimated Time:45s

Question

Answer

Step-by-Step Solution

Key Concept

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