Multiple choice

Passage

Directions: Read the following information carefully to answer the question. Two companies P and Q have their offices in Aviator Building, SEZ zone, Whitefield, Bangalore. There are four departments in each of the companies namely X, Y, Z and W. The ratio of the number of employees of company P to that of company Q is 10 : 13. The ratio of the number of employees working in department X of company P to the number of employees working in department W of company P is 4 : 5. There are 320 employees in department Z of company P and remaining 15% employees are in department Y. The total number of employees working in department X of company Q is 120. The numbers of employees working in departments Y and Z of company Q are in the ratio 5 : 6. The ratio of the number of employees working in department X of company P to the number of employees working in department Z of company Q is 2 : 3. The ratio of the number of employees working in department Z of company P to the total employees of company P is 2 : 5.

If the number of employees in each of the four departments of both companies are represented in the form of a pie-chart, then the measure of the central angle corresponding to the number of employees in department Y is

  1. 56.8°

  2. 59.2°

  3. 62.6°

  4. 64.2°

  5. 65.3°

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

This is a complex data interpretation problem. Based on the provided ratios and totals, calculating the number of employees in department Y for both companies and finding the total proportion relative to the whole leads to the central angle calculation.