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AMO 2027 Grades 6-7 SET 12 - Self-study Question 11

AMO · AMO 2027 Grades 6-7 SET 12 - 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 the child (cm) | Circumference of the circle (cm) | Volume of the cup (cm³) | Weight of the 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 xcm, find the value of x.

Question illustration