Unit 12 · Multi-Step Conditional Reasoning

Card Set — Which Statement Must Be True?

Lesson 24 of 30

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15 cards, 3 shapes, numbers 1–9, no two identical. One constraint: only the number 7 appears in both a square and a circle. Which statement must be true? The answer requires working out the maximum possible for squares and circles combined — then subtracting.

Chapters

0:00Introduction
0:24Question
1:10Strategy
1:48Step 1: Unpack the constraint about number 7
2:34Step 2: Calculate the maximum square + circle cards
3:12Step 3: Test each option
4:12Correct answer

Question

Each card in a set of fifteen cards has one of three shapes on it: a triangle, a square or a circle. Inside the shape a number from 1 to 9 is written. No two cards are identical.

The only number that appears in both a square and a circle is 7.

Which one of the following statements must be true?

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