Question

Difficulty: EasyBlood Relations

Read the following coded blood relation definitions:
- A÷BA \div B means 'AA is the father of BB'
- A×BA \times B means 'AA is the sister of BB'
- A+BA + B means 'AA is the son of BB'

Based on the expression P÷Q×RP \div Q \times R, how is RR related to PP?

  1. A
    Son
  2. B
    Daughter
  3. C
    Father
  4. Either Son or DaughterAnswer

Answer

Either Son or Daughter
Analyzing P÷Q×RP \div Q \times R: P÷QP \div Q means PP is the father of QQ. Q×RQ \times R means QQ is the sister of RR. This makes QQ and RR siblings sharing the father PP. Therefore, RR is the child of PP. However, no relationship code in the expression establishes the gender of RR. As a result, RR can be either a son or a daughter of PP.

Step-by-Step Solution

1
Decode the first relation P÷QP \div Q
PP is the father of QQ.
The division symbol defines the first person as the father of the second person.
2
Decode the second relation Q×RQ \times R
QQ is the sister of RR.
The multiplication symbol defines the first person as the sister of the second person.
3
Combine the relations to establish the lineage between PP and RR
PP is the father of both QQ and RR.
If PP is the father of QQ, and QQ and RR are siblings, then PP must also be the father of RR.
4
Determine the gender of RR
The gender of RR is unstated; thus RR is either a son or a daughter.
The code Q×RQ \times R tells us QQ is female, but does not provide gender information for RR.

Key Concept

Gender ambiguity in coded blood relations
Estimated Time:45s
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