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BMAT 2017 · Question 3 · Logic

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Mr and Mrs Joelson and their twin sons intend to move house. They have a budget of $900 000. Ideally, they would like a house with at least four bedrooms, a double garage and a medium or large size garden. They would also like to be no more than 2 km from the nearest grocery store and within 6 km of sports facilities. They realise that their wish list may not be met in full, so they decide that they will be happy with a house, within budget, that satisfies at least four of their five wishes. If more than one house satisfies at least four of their wishes, then they will choose the one for which dividing the cost of the house by the number of bedrooms gives the lowest price. The Joelson family have found five houses which satisfy at least some of their wishes.

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Which house should the Joelson family buy?