BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Last month, John rejected 0.5% of the products that...

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2544
Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members
by BTGmoderatorLU » Thu Feb 22, 2018 5:01 am
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8% of the product that she inspected. If a total of 0.75% of the products produced last month were rejected, what fraction of the products did Jane inspected?

A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16

The OA is D.

I'm confused by this PS question. Experts, any suggestion about how to solve it? Thanks in advance.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 2663
Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members
Location: Boston, MA
Thanked: 1153 times
GMAT Score:770

by DavidG@VeritasPrep » Thu Feb 22, 2018 8:48 am
LUANDATO wrote:Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8% of the product that she inspected. If a total of 0.75% of the products produced last month were rejected, what fraction of the products did Jane inspected?

A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16

The OA is D.

I'm confused by this PS question. Experts, any suggestion about how to solve it? Thanks in advance.
Plot the relevant figures on a number line

.5------------.75----.8
Gap-----.25----.05---

So the ratio of Jane's inspections to John's inspections is .25/.05 = 25/5 = 5/1. (The average is much closer to Jane than John, so we know that she did a disproportionate number of the inspections.)

Call Jane's inspections: 5x
Call John's inspections: x
Total: 6x

Jane/Total = 5x/6x = 5/6. The answer is D
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 2663
Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members
Location: Boston, MA
Thanked: 1153 times
GMAT Score:770

by DavidG@VeritasPrep » Thu Feb 22, 2018 8:53 am
LUANDATO wrote:Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8% of the product that she inspected. If a total of 0.75% of the products produced last month were rejected, what fraction of the products did Jane inspected?

A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16

The OA is D.

I'm confused by this PS question. Experts, any suggestion about how to solve it? Thanks in advance.
Alternatively, you could use more conventional algebra.
If Jane inspected "A" items, she'd have rejected .8A
If John inspected "N" items he'd have rejected .5N
Total rejections: .8A + .5N

Total items inspected: A + N
If 75% of the total were rejected, then: .75(A + N) = .8A + .5N

.75A + .75N = .8A + .5N
.25N = .05A
.25/.05 = A/N
5/1 = A/N
If for every 5 items Jane inspects, John inspects 1, then Jane would inspect 5 out of every 6 items. The answer is D
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 1462
Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members
Location: New York, NY
Thanked: 39 times

by Jeff@TargetTestPrep » Mon Feb 26, 2018 10:00 am
LUANDATO wrote:Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8% of the product that she inspected. If a total of 0.75% of the products produced last month were rejected, what fraction of the products did Jane inspected?

A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16

We can let the number of products inspected by John = a and the number inspected by Jane = b and create the equation:

0.005a + 0.008b = 0.0075(a + b)

50a + 80b = 75a + 75b

5b = 25a

b = 5a

Thus, Jane inspected b/(a + b) = 5a/6a = 5/6 of the products.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1