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APMOPS 2009 Question 10

APMOPS · APMOPS 2009

Question 10

Three pupils $A,B,C$ write down the height of a child, circumference of a circle, volume of a cup and weight of a ball. Their responses (in cm, cm, cm$^3$, g respectively) are: $A:(90,22,250,510)$; $B:(70,21,245,510)$; $C:(80,22,250,520)$. Each pupil has exactly two correct responses. If the child is $x$ cm tall, find $x$.

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