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BMAT 2015 · Question 5 · Spatial

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There were 15 competitors in the Long Jump event at a recent athletics meeting. In the preliminary competition all the competitors were allowed two attempts, with the better of the two to count in each case. The top three and anyone else within 50 cm of third place qualified to take part in the final later in the day. The distances recorded in the preliminary competition were as follows:

Question diagram

How many competitors qualified for the final of the Long Jump?