Level 2 – Challenge Yourself

Rated: A Little More Serious

Hint: Read the questions carefully and try to simplify relationships as you would an algebraic equation.
For example: “Your Mother’s Brother’s Father” could be replaced by “Your Grandfather”.

  1. A telephone conversation went something like this: “Hello, is this 555-1234?”, “Yes, who is this?”, “What, you don’t recognize my voice? Why my mother is your mother’s mother-in-law.” What is the relationship of the speakers?
  2. What is the closest relation that your mother’s sister-in-law’s brother-in-law could be to you?
  3. A man, looking at a painting, says to himself: “Brothers and sisters I have none, but that man’s father is my father’s son.” Who was the person in the picture?
  4. Is is possible for one’s grandfather to be younger than one’s father?
  5. Each son in the family has as many brothers as sisters, but each daughter has twice as many brothers as sisters. How many boys and girls are there in the family?
  6. At a secret family meeting, everyone shakes hands exactly once with every other person present. If there was a total of 45 handshakes, how big was the family?
  7. I met a widow, who lived with her step daughter. I married her. My father fell in love with the step daughter of my new wife and married her. My wife became the mother-in-law of my own father; my wife’s step-daughter is my step-mother, and I am the step-father of my step-mother. My step-mother, who is the step-daughter of my wife, has a boy; he is my step-brother, because he is the son of my father and of my step-mother; but as he is the son of my wife’s step-daughter, so is my wife the grandmother of the boy, and I am the grandfather of my step-brother. My wife also has a boy, my step-mother is therefore his step-sister and is also his grandmother, because he is also the child of her step-son; and my father is the brother-in-law of my son. My son is the grandson of my father. who is my grandfather?
  8. In an effort to solve the over-population problem, the government passes a law that families should stop having children as soon as they have had one son. Does this favor more boys or girls in the next generation?
  9. At a recent family reunion, an even number of family members greeted an odd number of times. How can this be proven?