Unit 12 · Multi-Step Conditional Reasoning

Five Houses Row — Who Lives on the Right End?

Lesson 16 of 30

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About this lesson

Five houses, five people, five sports, five transports — and eight clues to untangle them. The secret is to start with the clues that give you exact positions, then use contradictions to eliminate wrong arrangements.

Chapters

0:00Introduction
0:22Question
1:18Strategy
1:52Step 1: Lock positions 1 and 2
2:13Step 2: Place Grey, Orange, Black (positions 3–5)
2:46Step 3: Complete grid — Mrs Black is right end
3:25Correct answer

Question

Five houses stand together in a row. One person lives in each house; each person likes a different sport; they all use different forms of transport. We also know that:

  • Mr Green likes tennis and lives next to Ms White, who is on the left end of the row and drives a van.
  • Dr Grey uses a taxi.
  • The person who likes badminton lives in the middle of the row.
  • Miss Orange drives a car and doesn't like swimming.
  • The person who likes swimming does not have a motorcycle.
  • Mrs Black likes football; she lives next to Miss Orange and two spaces from Dr Grey.
  • The person who rides a bicycle also likes football.
  • The person who likes golf lives next to the person who likes badminton.

Using the information above, who lives in the last house on the right of the row?

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