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Dropdown 1: 200
Dropdown 2: 9.0%
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
45% (02:59) correct
55%
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wrong
based on 247
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A survey of all the workers of a political party was carried out to find out some demographic details about them.
Chart 1 provides the age distribution of the workers of the party.
Chart 2 provides the distribution of the workers belonging to a specific age group(older than 29 and younger than 50) according to their educational qualifications.
Based on the data, answer the following questions:
1. What is the minimum number of workers in the party if the given data is exact(without approximating)?
2. What is the minimum percentage of workers in the party who are post-graduates and above?
Age distribution.PNG [ 43.92 KiB | Viewed 5291 times ]
Chart 1 provides the age distribution of the workers of the party.
Chart 2 provides the distribution of the workers belonging to a specific age group(older than 29 and younger than 50) according to their educational qualifications.
Based on the data, answer the following questions:
1. What is the minimum number of workers in the party if the given data is exact(without approximating)?
2. What is the minimum percentage of workers in the party who are post-graduates and above?
Attachment:
Age distribution.PNG [ 43.92 KiB | Viewed 5291 times ]
Source: 800 score
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Official Answer
Dropdown 1: 200
Dropdown 2: 9.0%
17 May 2020, 23:43
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Official Explanation:
1. The number of workers in any group shown in the charts must be an integer. Assume there are X workers from 30 to 49 years old.
From Table 2, the groups are 0.08X, 0.22X, 0.28X and 0.42X. Start with the easiest value(X=100) to get 8, 22, 28 and 42 workers.
Can this number be decreased? Yes, if you reduce all the groups by the same proposition. The greatest common denominator is 2, so you can reduce these values in half(as a maximum) to get 4, 11, 14 and 21. So the minimum number of workers from 30 to 49 years old must be 50.
According to Table 1, 50 is 25% of the total number of workers(for the 30-49 group); the total number of workers is 200. The other three values in Table 1 are integers: 0.08x200 = 16, 0.23x200 = 46, and 0.44x200 = 88. Thus, the minimum possible number for Table 2 fits in Table 1 to make 200 as the minimum total number of workers.
2. Suppose the workers who have post-graduate or doctoral qualifications are only in age group 30-49. Table 2 indicates that they make 28% + 8% = 36% of that group. This group constitutes 25% of all the workers in the party. Thus, the minimum percentage is 25% of 36% = 9%.
1. The number of workers in any group shown in the charts must be an integer. Assume there are X workers from 30 to 49 years old.
From Table 2, the groups are 0.08X, 0.22X, 0.28X and 0.42X. Start with the easiest value(X=100) to get 8, 22, 28 and 42 workers.
Can this number be decreased? Yes, if you reduce all the groups by the same proposition. The greatest common denominator is 2, so you can reduce these values in half(as a maximum) to get 4, 11, 14 and 21. So the minimum number of workers from 30 to 49 years old must be 50.
According to Table 1, 50 is 25% of the total number of workers(for the 30-49 group); the total number of workers is 200. The other three values in Table 1 are integers: 0.08x200 = 16, 0.23x200 = 46, and 0.44x200 = 88. Thus, the minimum possible number for Table 2 fits in Table 1 to make 200 as the minimum total number of workers.
2. Suppose the workers who have post-graduate or doctoral qualifications are only in age group 30-49. Table 2 indicates that they make 28% + 8% = 36% of that group. This group constitutes 25% of all the workers in the party. Thus, the minimum percentage is 25% of 36% = 9%.
General Discussion
16 May 2020, 07:27
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1)A,The minimum number of workers is 200 since if we multiply any of the % value to calculate the individual value of any section in the above two pie charts will give integral values and we don't have to apply any approximations in those.
2)B,The percentage of workers who are pg and above would be >8% is 9% since 8% are those who are doctorates abd they will obviously have PG with them so minimum % of workers who would have PG and above would be >8%
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2)B,The percentage of workers who are pg and above would be >8% is 9% since 8% are those who are doctorates abd they will obviously have PG with them so minimum % of workers who would have PG and above would be >8%
Posted from my mobile device
