Lessons / Logical reasoning
Logical reasoning · Day 11

Blood Relations

Draw a family tree: + for male, - for female, horizontal line for couples, vertical for parent-child. Never hold it in your head.

Why this topic matters

'Pointing to a man, Rani says, his mother is my mother's only daughter.' Rani's mother's only daughter is Rani herself. So the man is Rani's son. Break the sentence from the end.

Blood relation questions become easy with a family tree and a fixed set of symbols. Always decode from the end of the sentence.

Draw a family tree

Square for male, circle for female, a double line for marriage, a vertical line down to children. Put each generation on its own level.

Mother's or father's brother = uncle, sister = aunt. Son's wife = daughter-in-law. Brother's son = nephew.

fathermothersondaughtermarried
Family tree symbols: square = male, circle = female, = marriage, vertical line = child
Example 1Pointing to a man, Rani says: 'His mother is my mother's only daughter.' How is the man related to Rani?
  1. 'My mother's only daughter' is Rani herself.Start from the end of the sentence.
  2. So the man's mother is Rani.
  3. The man is Rani's son.
Example 2A is B's brother. C is A's mother. D is C's father. How is B related to D?
  1. A and B are siblings, both children of C.Brothers share parents.
  2. D is C's father, so D is the grandfather of A and B.Two generations up.
  3. B is D's grandchild.

Coded relations

'A + B means A is the son of B, A - B means A is the wife of B ...'. Decode each symbol into a small tree, then join the trees.

Example 1P # Q means P is the brother of Q; P @ Q means P is the mother of Q. What does X @ Y # Z mean?
  1. Y # Z: Y is Z's brother, so Y and Z share parents.Decode each symbol.
  2. X @ Y: X is Y's mother.
  3. So X is Z's mother too.

Formula summary

Father's / mother's brother
Uncle (paternal / maternal).
Brother's / sister's son
Nephew; daughter → niece.
Father's father
Grandfather. Son's wife → daughter-in-law.
'Only son of my father'
The speaker himself.
Coded relations
A + B = A is father of B etc. Translate each symbol then draw.

Shortcuts and tricks

Pointing / introduction questions

Use it when: 'Pointing at a man, Rita said, "His mother is the only daughter of my mother."'

  1. Only daughter of my mother = Rita herself.
  2. So Rita is his mother.
ExampleHow is the man related to Rita?
  1. Son.

Before you move on, you should be able to...

  • draw a tree with fixed symbols
  • decode 'pointing' sentences from the end
  • turn coded symbols into small trees and join them

Practice questions (4)

Try each one before opening the solution. Or practise them one by one so your score is saved.

easy A is B's brother. C is A's mother. D is C's father. How is D related to B?
  1. D is C's father; C is B's mother.

Answer: Grandfather

medium Pointing to a photo, Arun says, 'She is the daughter of my grandfather's only son.' Who is she to Arun?
  1. Grandfather's only son = Arun's father.
  2. His daughter = Arun's sister.

Answer: Sister

medium If P + Q means P is the father of Q, P - Q means P is the wife of Q, and P × Q means P is the brother of Q, what does A - B + C mean for A and C?
  1. A is B's wife; B is C's father.
  2. So A is C's mother.

Answer: A is C's mother

medium A is the son of B. C is B's sister. D is C's son. How is D related to A?
  1. C is A's aunt.
  2. Her son D is A's cousin.

Answer: Cousin

Class plan (2 hours, for trainers)

A tested order for teaching this topic in one 2-hour session. Present mode follows the same order.

10 minWarm-up.
25 minSymbols and trees.
25 minPointing-to-a-photo questions from the end.
20 minCoded relations.
35 minPractice set.
5 minRecap.