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AMO 2027 Grades 8-9 SET 3 - Self-study Question 11

AMO · AMO 2027 Grades 8-9 SET 3 - Self-study

Question 11

Three students A, B and C are asked to write down the height of a child, the circumference of a circle, the volume of a cup and the weight of a ball. Their responses are tabulated below:

| Student | Height of child (cm) | Circumference of circle (cm) | Volume of cup (cm³) | Weight of ball (g) |
|---|---:|---:|---:|---:|
| A | 90 | 22 | 250 | 510 |
| B | 70 | 21 | 245 | 510 |
| C | 80 | 22 | 250 | 520 |

If each student has only two correct responses, and the height of the child is $x$ cm, find the value of $x$.