Unit 12 · Multi-Step Conditional Reasoning

Traditional Games Survey — Which is Most Popular?

Lesson 19 of 30

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About this lesson

Four games, five clues about who likes what — and you have to figure out which game is most popular without a single number in sight. The key is realising that Koolchee quietly absorbs everyone else's fans.

Chapters

0:00Introduction
0:22Question
1:10Strategy
1:50Step 1: Map the five clues to set symbols
2:31Step 2: Build the chain: Keentan inside Wulijini inside Koolchee
3:10Step 3: Show Koolchee beats Wulijini and Buroinjin
4:09Step 4: Conclusion — Koolchee wins
4:51Correct answer

Question

Brook and Joyce wanted to find out which was the most popular traditional game at their school: Wulijini, Buroinjin, Koolchee or Keentan. They did a survey of all the students at the school, and found the following:

  • Everyone who liked Wulijini also liked Koolchee.
  • Some people liked both Koolchee and Buroinjin.
  • No one liked both Buroinjin and Wulijini.
  • There were more people who only liked Koolchee than people who only liked Buroinjin.
  • All the Keentan fans were also fans of Wulijini.

Which was the most popular game?

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