Question : Study the pie chart and answer the question.
Distribution (degree-wise) of the number of employees of a company working in 5 departments A, B, C, D, and E.
Total number of employees = 3200
If the total number of employees working in departments A and B exceeds the number of employees in department C by $x$, then $x$ lies between:
Option 1: 120 and 140
Option 2: 80 and 100
Option 3: 100 and 120
Option 4: 140 and 160
Correct Answer: 120 and 140
Solution :
The central angle formed by the number of employees in departments A and B = 79.2$^\circ$ + 57.6$^\circ$ = 136.8$^\circ$
The central angle formed by the number of employees in department C = 122.4$^\circ$
The number of employees in A and B is more than C by = 3200 × $\frac{14.4}{360}$ = 128
As we know, 128 lies between 120 and 140.
Hence, the correct answer is 120 and 140.
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