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Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test?

Correct answer: E. None of these

  • A. 136
  • B. 128
  • C. 164
  • D. 214
  • E. None of these

Explanation

The second-test pass mark is 216 marks + 36 marks = 252 marks. Since 252 marks is 45% of the maximum, the maximum is 252 / 0.45 = 560 marks, so the first-test pass mark is 40% x 560 marks = 224 marks, which is not listed; option a, 136 marks, does not use the common maximum correctly.

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