Last visit was: 17 Jul 2025, 15:13 It is currently 17 Jul 2025, 15:13
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
Karmesh
Joined: 18 Apr 2019
Last visit: 17 Mar 2020
Posts: 66
Own Kudos:
98
 [1]
Given Kudos: 85
Location: India
GMAT 1: 720 Q48 V40
GPA: 4
GMAT 1: 720 Q48 V40
Posts: 66
Kudos: 98
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 17 Jul 2025
Posts: 16,111
Own Kudos:
Given Kudos: 475
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,111
Kudos: 74,374
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
avigutman
Joined: 17 Jul 2019
Last visit: 15 Jul 2025
Posts: 1,294
Own Kudos:
Given Kudos: 66
Location: Canada
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Expert
Expert reply
GMAT 3: 770 Q50 V45
Posts: 1,294
Kudos: 1,896
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
CrackverbalGMAT
User avatar
Major Poster
Joined: 03 Oct 2013
Last visit: 17 Jul 2025
Posts: 4,847
Own Kudos:
Given Kudos: 225
Affiliations: CrackVerbal
Location: India
Expert
Expert reply
Posts: 4,847
Kudos: 8,645
Kudos
Add Kudos
Bookmarks
Bookmark this Post
In country X, out of all the people who are at least 65 years old, are at least 10 percent of them employed?

From statement I alone, 11.3 percent of the total population of Country X is at least 65 years old.
This is not sufficient to say how many of them are employed.

Statement I alone is insufficient. Answer options A and D can be eliminated.

From statement II alone, out of all the people in country X who are at least 60 years old, 20 percent of the men and 10 percent of the women are employed.

This means a minimum of 10 percent of people in this age group are definitely employed. Statement II alone is sufficient to answer the question with a YES. Answer options C and E can be eliminated.

The correct answer option is B.

Hope that helps!
Aravind BT
User avatar
TeenaChoudhary
Joined: 03 Apr 2021
Last visit: 09 Oct 2023
Posts: 20
Own Kudos:
Given Kudos: 36
Posts: 20
Kudos: 11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Total no of people in country is not known.Then how it is concluded that 10% of people (who are 65 or older) employed?
User avatar
Crytiocanalyst
Joined: 16 Jun 2021
Last visit: 27 May 2023
Posts: 951
Own Kudos:
Given Kudos: 309
Posts: 951
Kudos: 202
Kudos
Add Kudos
Bookmarks
Bookmark this Post
LM
Are at least 10 percent of the people in Country X who are 65 years old or older employed?


(1) In Country X, 11.3 percent of the population is 65 years old or older.
We cannot conclusively decide on the same since we have no information on the employability

(2) In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed.
let ys assume there are 10 people then 2 men and 1 women are employed either we will yield greater than 10 percent
we cannot assume a population to be lowe than this since it will not involve in whole numbers and people cannot be fractions
Therefore clearly sufficient
Hence IMO B
User avatar
CrackverbalGMAT
User avatar
Major Poster
Joined: 03 Oct 2013
Last visit: 17 Jul 2025
Posts: 4,847
Own Kudos:
Given Kudos: 225
Affiliations: CrackVerbal
Location: India
Expert
Expert reply
Posts: 4,847
Kudos: 8,645
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In Country X, 11.3 percent of the population is 65 years old or older.


Statement 1 says about the percent population of 65 years old or older. No information regarding their employment. So clearly insufficient.

(2) In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed.

In 65 years old or older group, there will be both men and women. Its given that 20 % men are employed and 10 % percent women are employed. That means by applying the basic concept of weighted average , we can say that at least 10 percent of people in the group are employed. Hence sufficient .Hence sufficient.

Option B is the answer.

Example: Assume there are 60 men and 40 women in the group. So total 100 people.
20 percent of men are employed i.e 20 % of 60 = 12.
10 percent of women are employed i.e 10 % of 60 = 6.

Total percent of people employed in the group \(= \frac{(12+6)}{100}*100\) = 18 %

As per the weighted average concept, Percent of people employed in the group should lie between 10 % and 20 % i.e. min of 10 % guaranteed.


Thanks,
Clifin J Francis,
GMAT SME
avatar
Chitra657
Joined: 18 May 2021
Last visit: 15 Mar 2022
Posts: 42
Own Kudos:
Given Kudos: 51
Posts: 42
Kudos: 7
Kudos
Add Kudos
Bookmarks
Bookmark this Post
VeritasKarishma
enigma123
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed

Question: Of the people who are 65+ yrs old, are at least 10% employed?
So say the population is 100, if 20 are 65+ yrs old, the question is that are at least 10% of them (i.e. 2 people) employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
Doesn't tell us anything about employment. Not sufficient.

(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed
So this statement talks about only the population which is 65+ yrs old. It says that of those people, of all the men, 20% are employed and of all the women, 10% are employed. So if you take the population of all 65+ yrs old people, can we guess what the employment rate is? It depends on what percent of 65+ people are men and what percent are women. But is there a range in which it must lie? Yes, the rate of employment of all 65+ people will lie between 10% and 20%. If the entire 65+ population is men, then the rate of employment will be 20%. If the entire 65+ population is women, then the rate of employment will be 10%. In case there is a mix of men and women, the rate of employment will lie between 10% and 20%. It will be the weighted average of 10% and 20%.

Answer (B)

This question, though much easier, is similar to the famous piglet question from GMAT Prep. Check it out here: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2014/09 ... difficult/

I understood the part saying that if we assume the entire population is male, then the average will be 20%, and same with the women's percentage. But when we mix the population and we dont know how many men and women are there, then how can I be sure that 10% of men (idk how many) and 20% of females is going to be in between 10 and 20?
How can I be sure of that in a logical way? Could you please explain that part in detail pls?

Bunuel VeritasKarishma @scotttragettestprep
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 17 Jul 2025
Posts: 16,111
Own Kudos:
74,374
 [1]
Given Kudos: 475
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,111
Kudos: 74,374
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Chitra657
VeritasKarishma
enigma123
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed

Question: Of the people who are 65+ yrs old, are at least 10% employed?
So say the population is 100, if 20 are 65+ yrs old, the question is that are at least 10% of them (i.e. 2 people) employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
Doesn't tell us anything about employment. Not sufficient.

(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed
So this statement talks about only the population which is 65+ yrs old. It says that of those people, of all the men, 20% are employed and of all the women, 10% are employed. So if you take the population of all 65+ yrs old people, can we guess what the employment rate is? It depends on what percent of 65+ people are men and what percent are women. But is there a range in which it must lie? Yes, the rate of employment of all 65+ people will lie between 10% and 20%. If the entire 65+ population is men, then the rate of employment will be 20%. If the entire 65+ population is women, then the rate of employment will be 10%. In case there is a mix of men and women, the rate of employment will lie between 10% and 20%. It will be the weighted average of 10% and 20%.

Answer (B)

This question, though much easier, is similar to the famous piglet question from GMAT Prep. Check it out here: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2014/09 ... difficult/

I understood the part saying that if we assume the entire population is male, then the average will be 20%, and same with the women's percentage. But when we mix the population and we dont know how many men and women are there, then how can I be sure that 10% of men (idk how many) and 20% of females is going to be in between 10 and 20?
How can I be sure of that in a logical way? Could you please explain that part in detail pls?

Bunuel VeritasKarishma @scotttragettestprep

Chitra657

Think of it this way:
You have a 100 boys weighing 50 kgs each and 100 girls weighing 70 kgs each.

Now you pick some of these kids. You don't know how many boys and how many girls. What can their average weight be?

If we pick only boys, their average weight will be 50 kgs (since each is 50 kgs).
If we pick only girls, their average weight will be 70 kgs (since each is 70 kgs).
Now what happens if we pick some boys and some girls? What will the average weight of the kids be? It will depend on how many boys and how many girls we pick. But one thing we can be sure of - the average will lie somewhere between 50 kgs and 70 kgs. Can the average be say 10 kgs? No. When each person is either 50 kgs or 70 kgs, how can the average be 10 kgs? Similarly, can the average be 90 kgs? No. Again, when each person is either 50 kgs or 70 kgs, how can the average be 90 kgs? You need at least one person to be much more than 90 kgs to get the average to 90.
The average will always lie between 50 and 70 kgs.

Similarly, considering the 65+ yrs old people, if 10% women and 20% men are employed, we can say that total percentage of people employed will lie between 10% and 20%.
avatar
02999
Joined: 09 Apr 2020
Last visit: 06 May 2023
Posts: 20
Own Kudos:
Given Kudos: 516
Posts: 20
Kudos: 2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
VeritasKarishma
enigma123
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed

Question: Of the people who are 65+ yrs old, are at least 10% employed?
So say the population is 100, if 20 are 65+ yrs old, the question is that are at least 10% of them (i.e. 2 people) employed?

(1) In country X, 11.3 percent of the population is 65 year old or older
Doesn't tell us anything about employment. Not sufficient.

(2) In country X, of the population 65 year old or older, 20 percent of the men and 10 percent of the women are employed
So this statement talks about only the population which is 65+ yrs old. It says that of those people, of all the men, 20% are employed and of all the women, 10% are employed. So if you take the population of all 65+ yrs old people, can we guess what the employment rate is? It depends on what percent of 65+ people are men and what percent are women. But is there a range in which it must lie? Yes, the rate of employment of all 65+ people will lie between 10% and 20%. If the entire 65+ population is men, then the rate of employment will be 20%. If the entire 65+ population is women, then the rate of employment will be 10%. In case there is a mix of men and women, the rate of employment will lie between 10% and 20%. It will be the weighted average of 10% and 20%.

Answer (B)

This question, though much easier, is similar to the famous piglet question from GMAT Prep. Check it out here: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2014/09 ... difficult/

I have one doubt - I got why avg percentage will lie in between 10 to 20 %. But that percentage is of the people who are age of 65 or higher. How can we compare this with total population? Question is asking about total population. Please clarify .
User avatar
HWPO
Joined: 11 May 2020
Last visit: 02 Jul 2025
Posts: 121
Own Kudos:
17
 [1]
Given Kudos: 146
Posts: 121
Kudos: 17
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
While I think that Bunuel's method (weighted average) is preferred, I used extreme extents.

Say there are 100 people, so 20% men = 20 and 10% women = 10. Total of 30/100, or 30% sufficient.
Say there are only 10 people. So 20% men = 2, 10% women = 1. Total of 3/10, or 30%, sufficient.

We can test more cases if not feeling comfortable, but we can see that if 2 extents provide the same percentage, then some principal here stays constant or unchanged if you will - no matter what.

Option B.
User avatar
Kunal1801
Joined: 21 Sep 2023
Last visit: 08 Oct 2024
Posts: 36
Own Kudos:
Given Kudos: 23
Posts: 36
Kudos: 15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
LM
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In Country X, 11.3 percent of the population is 65 years old or older.
(2) In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed.

Attachment:
DS5.PNG

Edit: \frac{AD}{BCE}

From St 1. we have only the population of the country not the number of people employed; Not sufficient
St. 2: Consider this information as a sum of averages, we know that if we have two numbers (1,10) their average would always be greater than one no matter how many times you take one in the counting like 1+1+1+1+1+10 divided by 6 will be greater than 1.
With the same concept no matter the population of male and female we know that the percentage of population of employed 65 or + would be greater than 10%
User avatar
rak08
Joined: 01 Feb 2025
Last visit: 15 Jul 2025
Posts: 201
Own Kudos:
Given Kudos: 249
Location: India
GPA: 7.14
Posts: 201
Kudos: 15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
this is how algebraically i understood why B

F + M = Total
atleast 10 % so, 0.1F+0.1M
given : 0.2M+0.1F so thats more than required or atleast required
so hence B is sufficient

LM
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In Country X, 11.3 percent of the population is 65 years old or older.
(2) In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed.

Attachment:
DS5.PNG
User avatar
GmatKnightTutor
User avatar
Major Poster
Joined: 31 Jan 2020
Last visit: 17 Jul 2025
Posts: 5,023
Own Kudos:
Given Kudos: 18
Posts: 5,023
Kudos: 1,525
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Are at least 10 percent of the people in Country X who are 65 years old or older employed?

(1) In Country X, 11.3 percent of the population is 65 years old or older.
(2) In Country X, of the population 65 years old or older, 20 percent of the men and 10 percent of the women are employed.


This question focuses on those who are 65+ in age. And whether 10%+ of this group are employed or not.

Statement (1) is not sufficient by itself; it only gives us percentage info about this group in terms of the total population and doesn't tell us any info regarding employment.

Statement (2) is sufficient. Whether you're a man or a woman, the employment figure is 10%+. Therefore, we know the percentage of those employed in this group has to be at least 10%.
   1   2 
Moderators:
Math Expert
102605 posts
453 posts