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GATE 2021 ME (ME1) – Question 9

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

The distribution of employees at the rank of executives, across different companies C1, C2, …, C6 is presented in the chart given above. The ratio of executives with a management degree to those without a management degree in each of these companies is provided in the table above. The total number of executives across all companies is 10,000. The total number of management degree holders among the executives in companies C2 and C5 together is

Company-share pie chart and table of management-degree to non-degree ratios for C1–C6. See the attached source image.
  1. 225
  2. 600
  3. 1900
  4. 2500

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Show answer and explanation

Correct answer: (C) 1900

Explanation

C 2 has 5% of 10000=500 executives, of whom 1/(1+4)=1/5 hold management degrees: 100. C 5 has 20% of 10000=2000, with degree fraction 9/(9+1)=0.9: 1800.

The requested total is $100+1800=\mathbf{1900}$, **C**.