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A grain purchase centre weighed the wheat brought to its four village counters on the same morning: counter 1, 180 quintals from 30 farmers; counter 2, 154 quintals from 22 farmers; counter 3, 231 quintals from 33 farmers; counter 4, 120 quintals from 24 farmers. Which of the following is most strongly supported by these figures?

Competition practiceLogical / Critical
  • AAt two of the four counters the farmers brought the same amount each on average, and that amount was the highest of the four averages
  • BEvery farmer at counter 2 brought more wheat than every farmer at counter 1
  • CThe counter with the fewest farmers took in the least wheat
  • DCounter 4 had fewer farmers than any of the other counters

Step-by-Step Solution

The averages are 6, 7, 7 and 5 quintals, so counters 2 and 3 share the top figure of 7. An average tells nothing about individual farmers, so the second option cannot be drawn. Counter 2 had the fewest farmers at 22 but counter 4 took in the least wheat at 120 quintals, so the third fails, and counter 4 has 24 farmers against counter 2's 22, so the fourth fails too.
Answer: A) At two of the four counters the farmers brought the same amount each on average, and that amount was the highest of the four averages

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