Pie Charts problems
- 1. For which pair of courses is the number of boys the same?
Options- A. A and D
- B. B and D
- C. C and F
- D. E and F Discuss
Correct Answer: A and D
Explanation:
As per first graph,
The number of students for course A = Total number of students x 20%
As per second graph,
The number of girls for course A = Total number of girls x 30%
Number of boys in course 'A' = The number of students for course A - The number of girls for course A
Number of boys in course 'A' = (1200 x 20/100 ) - ( 800 x 30/100 ) = 240 - 240 = 0
Similarly,
Number of boys in course 'B' = (1200 x 15/100 ) - (800 x 10/100) = 180 - 80 = 100
Number of boys in course 'C' = (1200 x 5/100 ) - (800 x 2/100) = 60 - 16 = 44
Number of boys in course 'D' = (1200 x 35/100 ) - (800 x 30/100) = 420 - 240 = 180
Number of boys in course 'E' = (1200 x 12/100 ) - 800 x 14/100 ) = 144 - 112 = 32
Number of boys in course 'F' = (1200 x 13/100 ) - ( 800 x 14/100 ) = 156 - 112 = 44
Hence, number of boys in course 'C' and 'F' are same which is 44.
- 2. For course E, the number of girls is how much percent more than the boys for course E?
Options- A. 80
- B. 150
- C. 250
- D. 350 Discuss
Correct Answer: 250
Explanation:
For course E,
Number of boys = ( 1200 x 12/100 ) - (800 x 14/100 ) = 144 - 112 = 32
Number of girls = 800 x 14/100 = 112
Required percentage = ( (112 - 32 )/32 ) x 100 = (80/32) x 100 = 250%
- 3. For which course is the number of boys the minimum?
Options- A. A
- B. C
- C. E
- D. F Discuss
Correct Answer: A
Explanation:
As per first graph,
The number of students for course A = Total number of students x 20%
As per second graph,
The number of girls for course A = Total number of girls x 30%
Number of boys in course 'A' = The number of students for course A - The number of girls for course A
Number of boys in course 'A' = (1200 x 20/100 ) - ( 800 x 30/100 ) = 240 - 240 = 0
Number of boys in course 'C' = (1200 x 5/100 ) - (800 x 2/100) = 60 - 16 = 44
Number of boys in course 'E' = (1200 x 12/100 ) - 800 x 14/100 ) = 144 - 112 = 32
Number of boys in course 'F' = (1200 x 13/100 ) - ( 800 x 14/100 ) = 156 - 112 = 44
Hence, in course 'A' number of boys is minimum which is Zero.
- 4. For course D what is the respective ratio of boys and girls?
Options- A. 3 : 4
- B. 3 : 5
- C. 4 : 5
- D. 5 : 6 Discuss
Correct Answer: 3 : 4
Explanation:
As per first graph,
The number of students for course D = Total number of students x 20%
As per second graph,
The number of girls for course D = Total number of girls x 30%
Number of boys in course D = The number of students for course D - The number of girls for course D
Number of boys = ( 1200 x 35/100 ) - ( 800 x 30/100 ) = 420 - 240 = 180
Number of girls = 800 x 30/100 = 240
Since, required ratio = 180 : 240 = 3 : 4
- 5. What is the respective ratio of men to women working in night shifts from the Call center Industry?
Options- A. 9 : 11
- B. 11 : 9
- C. 8 : 13
- D. 13 : 8 Discuss
Correct Answer: 11 : 9
Explanation:
As per first graph given in the question,
Number of people working in night shifts from Call Center Industry = Total number of people working in industries x 32%
Number of people working in night shifts from Call Center Industry = 40250 x 32/100 = 12880
As per second graph given in the question,
Then Number of females working in night shifts from Call Center Industry = Number of people working in night shifts from Call Center Industry x 45%
Number of women working in night shifts from Call Center Industry = 12880
x 45/100 = 5796
So, the number of men working from call center Industry = 12880 - 5796 = 7084
Hence, Required ratio = 7084 : 5796 = 11 : 9
- 6. What is the total number of men working in night shifts from all the industries together?
Options- A. 25788
- B. 26887
- C. 28297
- D. 28678 Discuss
Correct Answer: 26887
Explanation:
Number of men working in night shifts in different industries will be as below.
As per given graphs in question,
Number of total people working in night shifts in IT = 40250 x 12%
Number of men working in night shifts in IT = 40250 x 12% x (100% - 20% )
Number of men working in night shifts in IT = 40250 x 12% x 80%
? Number of men working in night shifts in IT = 40250 x (12/100) x 80/100
? Number of men working in night shifts in IT = 3864
Similarly,
Number of men working in night shifts in Sports = 80/100 x 18/100 x 40250 = 5796
Number of men working in night shifts in Call Center = 55/100 x 32/100 x 40250 = 7084
Number of men working in night shifts in Sales = 40/100 x 8/100 x 40250 = 1288
Number of men working in night shifts in Banking = 60/100 x 14/100 x 40250 = 3381
Number of men working in night shifts in Chemical Industries = 85/100 x 16/100 x 40250 = 5474
Hence, total number of men working in night shifts in different industries = 3864 + 5796 + 7084 + 1288 + 3381 + 5474 = 26887
- 7. What is the difference between the total number of men and the total number of women working in night shifts from all the industries together?
Options- A. 13254
- B. 13363
- C. 13524
- D. 13542 Discuss
Correct Answer: 13524
Explanation:
Number of men working in night shifts in different industries will be as below.
As per given graphs in question,
Number of total people working in night shifts in IT = 40250 x 12%
Number of men working in night shifts in IT = 40250 x 12% x (100% - 20% )
Number of men working in night shifts in IT = 40250 x 12% x 80%
? Number of men working in night shifts in IT = 40250 x (12/100) x 80/100
? Number of men working in night shifts in IT = 3864
Similarly,
Number of men working in night shifts in Sports = 80/100 x 18/100 x 40250 = 5796
Number of men working in night shifts in Call Center = 55/100 x 32/100 x 40250 = 7084
Number of men working in night shifts in Sales = 40/100 x 8/100 x 40250 = 1288
Number of men working in night shifts in Banking = 60/100 x 14/100 x 40250 = 3381
Number of men working in night shifts in Chemical Industries = 85/100 x 16/100 x 40250 = 5474
Hence, total number of men working in night shifts in different industries = 3864 + 5796 + 7084 + 1288 + 3381 + 5474 = 26887
Total number of men = 26887
Total number of women = 40250 - 26887 = 13363
Their difference = 26887 - 13363 = 13524
- 8. What is the approximate average number of females working in night shifts from all the industries together?
Options- A. 2227
- B. 2823
- C. 3326
- D. 4107 Discuss
Correct Answer: 2227
Explanation:
Total number of female employee = 13363
Required average number of females = 13363/6 = 2227.16
Approx 2227
- 9. The number of women from the sports industry are what percent of the total number of people working in the night shifts from all the industries together?
Options- A. 3.2
- B. 3.6
- C. 4.4
- D. 5.6 Discuss
Correct Answer: 3.6
Explanation:
Number of women from Sports Industry = (20/100) x (18/100) x 40250 = 1449
Required percentage = (1449/40250) x 100 = 3.6%
- 10. What should be the central angle of the sector for the cost of the raw material?
Options- A. 16°
- B. 22.5°
- C. 54.8°
- D. 57.6° Discuss
Correct Answer: 57.6°
Explanation:
Required central angle = Total angle x % of raw material
Required central angle = 360° x 16/100 = 57.6°
More in Data Interpretation:
Programming
Copyright ©CuriousTab. All rights reserved.