Last visit was: 19 Nov 2025, 08:17 It is currently 19 Nov 2025, 08:17
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,389
Own Kudos:
778,265
 [16]
Given Kudos: 99,977
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,389
Kudos: 778,265
 [16]
In an office, 40 percent of the workers have at least 5 years of servi 16 Aug 2018, 08:39
3
Kudos
Add Kudos
13
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

63% (02:16) correct 37% (02:16) wrong based on 399 sessions

History

Date
Time
Result
Not Attempted Yet
In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48
(B) 64
(C) 80
(D) 144
(E) 160
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 15 Nov 2025
Posts: 11,238
Own Kudos:
43,703
 [5]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,238
Kudos: 43,703
 [5]
In an office, 40 percent of the workers have at least 5 years of servi 16 Aug 2018, 09:30
4
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48
(B) 64
(C) 50
(D) 144
(E) 160
Show more

If 90 % of the workers have fewer than 10 years of service then ten percent of the workers will have at least 10 years of service. This is given as 16..
So 10%=16, 100%=160
So total =160

Now at least 40% have 5 years of service so 40*160/100=64
But 16 have atleast 10 years, so atleast 5 but <10 =64-16=48

A

Bunuel, choice C may have typo and may be 80 for two reasons..
One it can be a trap answer
Second the choice in increasing order makes it >64
General Discussion
User avatar
PKN
User avatar
Joined: 01 Oct 2017
Last visit: 11 Oct 2025
Posts: 814
Own Kudos:
1,587
 [1]
Given Kudos: 41
Status:Learning stage
WE:Supply Chain Management (Energy)
Posts: 814
Kudos: 1,587
 [1]
In an office, 40 percent of the workers have at least 5 years of servi 16 Aug 2018, 09:33
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48
(B) 64
(C) 50
(D) 144
(E) 160
Show more

Given, 90 percent of the workers have fewer than 10 years of service. So, 10% of workers have more than 10 yrs of service.
Hence, 16 workers is equivalent to 10%
Total #workers=16*10=160

40 percent of the workers have at least 5 years of service, So 0.4*160=64 nos of workers have at least 5 years of service.

So the no of workers having at least 5 but fewer than 10 years of service=64-The no of workers having at least 10 years of service=64-16=48

Ans. (A)
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,389
Own Kudos:
778,265
 [1]
Given Kudos: 99,977
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,389
Kudos: 778,265
 [1]
In an office, 40 percent of the workers have at least 5 years of servi 16 Aug 2018, 10:16
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
Bunuel
In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48
(B) 64
(C) 50
(D) 144
(E) 160

If 90 % of the workers have fewer than 10 years of service then ten percent of the workers will have at least 10 years of service. This is given as 16..
So 10%=16, 100%=160
So total =160

Now at least 40% have 5 years of service so 40*160/100=64
But 16 have atleast 10 years, so atleast 5 but <10 =64-16=48

A

Bunuel, choice C may have typo and may be 80 for two reasons..
One it can be a trap answer
Second the choice in increasing order makes it >64
Show more

Good catch Chetan. Edited. Thank you.
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,663
Own Kudos:
20,165
 [1]
Given Kudos: 165
Expert
Expert reply
Posts: 3,663
Kudos: 20,165
 [1]
In an office, 40 percent of the workers have at least 5 years of servi 17 Aug 2018, 01:47
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution



Given:
    • 40 percent of the workers have at least 5 years of service.
    • 16 workers have at least 10 years of service.
    • 90 percent of the workers have fewer than 10 years of service

To find:
    • The number of the workers having at least 5 but fewer than 10 years of service

Approach and Working:
    • Since 90% of the workers have fewer than 10 years of service, we can say 10% of the workers have at least 10 years of service
      o And, we also know that 16 workers have at least 10 years of service.
         So, 10% of the workers= 16 Workers
         Total workers= 160 Worker
      s

    • Now, 40% of the workers have at least 5 years of service.
    o
      Hence, the number of workers having 5 years of service = 16*4= 64 workers.
      o Out of 64, 16 have at least 10 years of service.
      o Hence, 64-16= 48 workers have at least 5 but fewer than 10 years of service
    .

Hence, the correct answer is option A.

Answer: A
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,588
Own Kudos:
1,079
Posts: 38,588
Kudos: 1,079
In an office, 40 percent of the workers have at least 5 years of servi 11 Dec 2024, 18:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Bunuel
Math Expert
105389 posts
Krunaal
Tuck School Moderator
805 posts