A survey of all the workers of a political party was carried out to

Question

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?

Show Spoiler

Attachment:

Age distribution.PNG [ 43.92 KiB | Viewed 4205 times ]

Source: 800 score

Submit Answer

Start the Timer above, select the dropdowns, and click "Submit" to add this question to your Error log.

Show Answer

Official Answer

Dropdown 1: 200 Dropdown 2: 9.0%

Apt0810 · Answer

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%

Posted from my mobile device

bM22 · Answer

Hi  SajjadAhmad , could you share the official explanations of the above questions.

Thanks.

unraveled · Answer

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%.

Sajjad1994 · Answer

I am OK with question number 1 and its explanation, But the diagrams are a bit of misleading for the purpose of question number 2.

unraveled · Answer

The question is like that so yes it is little debatable. However explanation justifies it.

mSKR · Answer

Group between 30-49 is 25% in table 1 which represents 100% of table2

1. i need to find out minimum 
( key point: the minimum number should not come as fraction)
minimum value given = 200.
so 25% would be 50 people.
lets see if any fraction in table 2 with 50 as total value ( in table 2 all are even numbers) so 200 is our answer

2. post graduate = 28% + doctorate = 8% in table 2 is 25% of total workers mention in table1
doctorate = 8% 
so total post graduate+ doctorate % = 36/4= 9%
B is our answer

bumpbot · Answer

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

A survey of all the workers of a political party was carried out to

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Graphs and Tables (G&T) Questions

A survey of all the workers of a political party was carried out to

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards