Question Details

Analyze the data presented in the table below to answer the query that follows.

The table below provides details regarding the total workforce across four different corporate divisions, the count of employees who did not enroll in any development programs, and the percentage of enrolled employees who chose the Project Management course.

Divisions Total employees Employees who did not enroll in any program % of enrolled employees who chose Project Management
Division A 180 60 60
Division B 150 50 45
Division C 200 55 80
Division D 250 130 70

Note: Enrolled employees chose either the Project Management course or the Cyber Security course.

By how much is the number of employees from Division A who enrolled in the Cyber Security course greater or less than the number of employees from Division C who enrolled in the Project Management course?

Options

A

62

B

72

C

58

D

84

E

68

Show Answer

Correct Answer :

Option E

68

Solution :

Correct Option / Answer:

The correct option is 68.

Step 1: Understand the Data & Formulas

From the note given in the table, every enrolled employee chose either the Project Management course or the Cyber Security course.
Therefore, for any division:
Enrolled Employees = Total Employees - Employees who did not enroll
% of Enrolled Employees in Cyber Security = 100% - (% of Enrolled Employees in Project Management)

Step 2: Calculate for Division A

Total employees in Division A = 180
Employees who did not enroll in Division A = 60
Number of enrolled employees in Division A:

180-60=120

Percentage of enrolled employees in Division A who chose Project Management = 60%
Percentage of enrolled employees in Division A who chose Cyber Security:

100%-60%=40%

Number of employees in Division A enrolled in Cyber Security:

40%×120=40100×120=48

Step 3: Calculate for Division C

Total employees in Division C = 200
Employees who did not enroll in Division C = 55
Number of enrolled employees in Division C:

200-55=145

Percentage of enrolled employees in Division C who chose Project Management = 80%
Number of employees in Division C enrolled in Project Management:

80%×145=80100×145=116

Step 4: Find the Difference

We need to find by how much the number of Division A Cyber Security enrolled employees (48) is less than Division C Project Management enrolled employees (116):

116-48=68

Thus, the required difference is 68.

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