Multiple choice

Amazon, a company, organized a hiring event in which it invited all eligible candidates to take an exam. If the average marks of the candidates who took the exam were 64, the top 15% scorers had an average of 90 marks and the dullest 20% had an average marks of 28, then what was the average score of the remaining 65% of the candidates?

  1. 69.07

  2. 65.25

  3. 62.31

  4. 60.08

  5. 58.77
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A Correct answer
Explanation

Total sum = 100 * 64 = 6400. Top 15% sum = 15 * 90 = 1350. Dullest 20% sum = 20 * 28 = 560. Remaining 65% sum = 6400 - 1350 - 560 = 4490. Average = 4490 / 65 = 69.0769.

AI explanation

Assume there were exactly 100 candidates in the hiring event. The overall sum of marks is 6400, the top 15 candidates scored 1350 marks, and the dullest 20 candidates scored 560 marks. The remaining 65 candidates therefore scored 6400 - 1350 - 560 = 4490 marks. Applying the weighted average formula, their average score is 4490 / 65, which equals 69.07.

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