Last visit was: 25 Apr 2024, 11:56 It is currently 25 Apr 2024, 11:56
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

A computer chip manufacturer expects the ratio of the number of defect

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 28635
Own Kudos [?]: 33117 [4]
Given Kudos: 25175
Send PM
A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   21 Dec 2021, 06:08
Expert Reply
4
Bookmarks
00:00

Question Stats:

87% (02:03) correct 12% (02:41) wrong based on 31 sessions

Hide Show timer Statistics

Image
A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?

A. 14
B. 20
C. 22
D. 24
E. 25
ShowHide Answer
Official Answer
B
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 11681 [3]
Given Kudos: 136
Send PM

Top Member of the Month
Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   21 Dec 2021, 06:19
3
Bookmarks
Carcass wrote:
Image
A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?

A. 14
B. 20
C. 22
D. 24
E. 25

Let's find some TOTALS for all 4 shipments combined.
There are 51,000 chips altogether
There are 17 defective chips altogether.

So, 17/51000 of the chips are defective. (notice that 17 divides nicely into 51000!)
SIMPLIFY: 1/3000 of the chips are defective

So, if we have a shipment of 60,000 chips, 1/3000 of them will be defective.
(1/3000)(60,000) = 20 defective chips

Answer: B

Cheers,
Brent
avatar
B
Kimberly99
Manager
Manager
Joined: 10 Feb 2023
Posts: 76
Own Kudos [?]: 13 [0]
Given Kudos: 172
Send PM
Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   13 Feb 2023, 02:32
Hi Brent GreenlightTestPrep, how to avoid silly mistake like 51000/17 when it should've been the other way round ?
Thanks Brent
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 11681 [1]
Given Kudos: 136
Send PM

Top Member of the Month
Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   13 Feb 2023, 06:58
1
Kimberly99 wrote:
Hi Brent GreenlightTestPrep, how to avoid silly mistake like 51000/17 when it should've been the other way round ?
Thanks Brent


It helps to ask yourself: What does this fraction imply?

There are 51,000 chips altogether
There are 17 defective chips altogether.
Conclusion #1: 51000/17 of the chips are defective. What does this mean? It means: out of every 17 chips, 51000 are defective. This makes no sense.
Conclusion #2: 17/51000 of the chips are defective. What does this mean? It means: out of every 51000 chips, 17 are defective. This makes sense.
avatar
B
Kimberly99
Manager
Manager
Joined: 10 Feb 2023
Posts: 76
Own Kudos [?]: 13 [0]
Given Kudos: 172
Send PM
Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   16 Feb 2023, 05:09
Ah this make perfect sense. Thanks Brent GreenlightTestPrep for great explanation always.
avatar
B
Paul121
Manager
Manager
Joined: 19 Jun 2021
Posts: 52
Own Kudos [?]: 25 [0]
Given Kudos: 24
Send PM
Re: A computer chip manufacturer expects the ratio of the number of defect [#permalink] New post   12 Oct 2023, 15:21
In this question, we have 4 different types of chips. s1, s2, s3, and s4.
Any kind has a different ratio of defective chips to working chips.
For example, s1 has 2 defective chips for every 5,000 chips.
So out of 60,000 chips, 24 will be defective.
In other words, the amount of defective chips will be different for every type.

GreenlightTestPrep For your answer, you distributed the new shipment of the chips to be equal to the distribution of the original shipment. Why did you decide to do it?
Prep Club for GRE Bot
gmatclubot
[#permalink]
Moderators:
BrushMyQuant
Moderator
1085 posts
VibhuAnurag
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact