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Statement: A district check gate stops every tenth lorry for a full search. Contraband is found in about one search in four hundred. The queue at the gate now stretches two kilometres, and consignments of fish and milk are spoiling in it. Which of the following courses of action follows from the statement?

Competition practiceLogical / Critical
  • ALorries should be picked for search on the papers they carry and on information received, instead of one in every ten being taken as it comes, and consignments that spoil should be let through while the picking is done
  • BEvery lorry that reaches the gate should be searched in full
  • CThe gate should be closed and the search given up
  • DLorries carrying fish and milk should be exempted from search altogether

Step-by-Step Solution

The statement sets a yield of one in four hundred against a cost borne by every lorry in a two-kilometre queue, so the action that follows is one that raises the yield of a search and lowers what the search costs the innocent. Choosing lorries on papers and information does both. Searching every lorry multiplies the cost tenfold for the same poor yield. Closing the gate abandons the purpose the search exists for. Exempting fish and milk altogether relieves the spoilage but opens a standing door for anyone willing to load a lorry with ice.
Answer: A) Lorries should be picked for search on the papers they carry and on information received, instead of one in every ten being taken as it comes, and consignments that spoil should be let through while the picking is done

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