Data set 4: Distribution of women across professional and managerial grades
Posted by Superadmin on March 08 2016 06:33:02
The distribution of women across professional and managerial grades in ‘Not Yet There’ Corporation is shown below.
Note:
There are five times as many men in professional grades as women. The corporation employs a total of 1,300 staff in both professional and managerial grades. 8% of the total workforce at the corporation is employed in
professional and managerial grades.
1. How many women hold professional grades in ‘Not Yet There’ Corporation?
A 120
B 110
C 100
D 90
Answer( )
2. In total, how many staff (both men and women) are employed in professional grades in the corporation?
A 540
B 450
C 360
D 270
Answer( )
3. What fraction of women in managerial grades is in head of department or executive grades?
A 1/4
B 1/5
C 1/6
D 1/7
Answer( )
4. How many of the total staff in professional and managerial grades are men?
A 1,210
B 1,180
C 1,160
D 1, 140
Answer( )
5. What percentage of women in managerial grades are team managers?
A >= 80%
B <= 80%
C < 80%
D > 80%
Answer( )
6. How many more women are there in the grade of team manager than head of department and executive combined?
A 15
B 20
C 25
D 30
Answer( )
7. How many men are in managerial grades?
A 640
B 680
C 730
D Cannot tell
Answer( )
8. How many people in total does the corporation employ?
A 16,250
B 14,950
C 13,650
D Cannot tell
Answer( )
9. How many men are in the grade of team manager?
A 700
B 698
C 696
D Cannot tell
Answer( )
10. What percentage of women in professional grades are in Legal and Human Resources combined?
A 50%
B 45%
C 33%
D 30%
Answer( )
Data set 4
1. Answer D, 90
Explanation: The total number of women professionals is represented by the sum of the number of women in the professions described in the pie chart entitled professional.
2. Answer A, 540
Explanation: There are 90 women employed in professional grades and 5 times as many men as this, so the total number of people employed in these grades = 90 × 5 (the number of men in professional grades) + 90 (the number of women in those grades) = 540.
3. Answer C, 1/6
Explanation: There are a total of 30 women in managerial grades and 5 of these are head of department or executive posts. The fraction therefore is 5/30 which simplifies to 1/6.
4. Answer B, 1,180
Explanation: In total (90 + 30 =) 120 women hold professional or managerial grades. Subtract this from the figure provided as a note to the data set that in total 1,300 staff are employed in these grades (1,300 – 120) to identify that 1,180 men fill these grades.
5. Answer D, . 80%
Explanation: There are 25 women in the grade of team leader out of a total of 30 women in managerial grades. This gives us the fraction of 25/30 which simplifies to 5/6, which is equal to a little over 83% (100 ÷ 6 × 5 = 83.3 recurring).
6. Answer B, 20
Explanation: There are 25 women in the grade of team manager and 5 women in head of department or executive grades combined (25 – 5 = 20).
7. Answer C, 730
Explanation: The total staff in professional and managerial grades = 1,300 and 120 women are in these grades. We have worked out the number of men in professional grades (5× the number of women in professional grades 90 × 5 =) 450. From this we can work out that 1,300 – 450 – 120 = 730 is the number of men in managerial grades.
8. Answer A, 16,250
Explanation: We are told in the notes that 8% of the total workforce at Not Yet There Corporation are employed in professional and managerial grades and can work out the size of the total workforce from this figure. 8% of the workforce = 1,300 so 1% = 1,300 ÷ 8 = 162.5, 162.5 × 100 = 16,250 or 100% of the workforce.
9. Answer D, Cannot tell
Explanation: We are able to calculate the number of men in managerial grades as a whole but do not have the information to break this figure down into the various managerial grades.
10. Answer A, 50%
Explanation: The combined total of women in Legal and Human Resources is 45 which you must express as a percentage of the total number of women in professional grades (= 90). To express 45/90 as a percentage simplify the fraction and × 100; 45/90 = ½ × 100 = 50%.