It is currently 12 Dec 2017, 21:32

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Last month, John rejected 0.5% of the products that he inspected and

Author Message
TAGS:

### Hide Tags

Intern
Joined: 24 Sep 2009
Posts: 16

Kudos [?]: 7 [0], given: 0

Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

06 Oct 2009, 01:15
3
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

63% (01:45) correct 37% (02:21) wrong based on 102 sessions

### HideShow timer Statistics

Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?

A. 1/6
B. 1/2
C. 5/8
D. 5/6
E. 15/16
[Reveal] Spoiler: OA

Kudos [?]: 7 [0], given: 0

Manager
Joined: 08 Nov 2005
Posts: 180

Kudos [?]: 22 [1], given: 10

Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

06 Oct 2009, 09:37
1
KUDOS
IMO D 5/6

Basically you have the formula
0.8x+0.6y=0.75T

x=products jane rejected
y=products John rejected
T=total

i.e 8x+5y=7.5T
Now you just need to try different number to see which one will fit here.
Put x=1/6T y=5/6T (1-1/6T)
you get 8(1/6)+5(5/6) = 33/6 < 7.5 does not match with 7.5
try x=5/6T y=1/6T
You can plugin other numbers but it wont give you the exact 7.5

I have seen many GMAT problem including DS where you have to plugin numbers.
consider kudos if you like the answer.

Kudos [?]: 22 [1], given: 10

Manager
Joined: 11 Sep 2009
Posts: 129

Kudos [?]: 445 [0], given: 6

Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

06 Oct 2009, 10:47
2
This post was
BOOKMARKED
X - fraction of products Jane inspected
(1 - X) - fraction of products John inspected

0.8(X) + 0.5(1-X) = 0.75
0.3X = 0.75 - 0.5
X = 0.25/0.3
X = 5/6

Therefore the answer is D: 5/6.

Kudos [?]: 445 [0], given: 6

Manager
Joined: 08 Nov 2005
Posts: 180

Kudos [?]: 22 [0], given: 10

Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

06 Oct 2009, 12:48
I never thought about solving it that way. Good idea AKProdigy87. Thanks.

Kudos [?]: 22 [0], given: 10

Senior Manager
Status: Yeah well whatever.
Joined: 18 Sep 2009
Posts: 340

Kudos [?]: 82 [0], given: 17

Location: United States
GMAT 1: 660 Q42 V39
GMAT 2: 730 Q48 V42
GPA: 3.49
WE: Analyst (Insurance)
Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

06 Oct 2009, 18:13
Yeah AKProdigy87 did it the exact way I did it. I'll give you kudos for that, homie.
_________________

He that is in me > he that is in the world. - source 1 John 4:4

Kudos [?]: 82 [0], given: 17

Manager
Joined: 15 Sep 2009
Posts: 131

Kudos [?]: 27 [0], given: 2

Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

06 Oct 2009, 22:34
produced = 1000
Rejected = 7.5

John = 0.5x (1/6)
Jane = 0.8y (5/6)

0.005x+0.008y = 7.5
x+y = 1000

0.005x + 0.008(1000-x) = 7.5
-0.003x = 7.5-8

0.003x = 0.5
x = 166.67

So Jane inspected 5/6 of the total products

Kudos [?]: 27 [0], given: 2

Manager
Joined: 18 Feb 2010
Posts: 171

Kudos [?]: 237 [1], given: 0

Schools: ISB
Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

06 Mar 2010, 23:07
1
KUDOS
swat wrote:
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?

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

Lets be smarter...what if this is the last question and we are left with just 1 minute to do it....

We knw that total rejections were .75% that means Jane would have done the bulk of rejections given that his rejection rate is .80%. clearly the options A,B and C would thus be eliminated that are around 50% mark. Now choose 1 between D and E that would atleast raise your chances of getting the solution right by 50%.

No problems if you have loads of time. This can even work at that time as you have to choose and work between D and E only.

Hope this helps !!
_________________

CONSIDER AWARDING KUDOS IF MY POST HELPS !!!

Kudos [?]: 237 [1], given: 0

BSchool Forum Moderator
Joined: 01 Oct 2009
Posts: 587

Kudos [?]: 477 [0], given: 412

GMAT 1: 530 Q47 V17
GMAT 2: 710 Q50 V36
Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

25 Apr 2010, 10:29
5X+8Y=.75T

substitute 1,5=6(total)

5+40=45

Kudos [?]: 477 [0], given: 412

Non-Human User
Joined: 09 Sep 2013
Posts: 14883

Kudos [?]: 287 [0], given: 0

Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

15 Dec 2015, 00:50
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.
_________________

Kudos [?]: 287 [0], given: 0

Intern
Joined: 02 Feb 2014
Posts: 32

Kudos [?]: 13 [0], given: 35

GPA: 3.33
Re: Last month, John rejected 0.5% of the products that he inspected and [#permalink]

### Show Tags

07 Dec 2016, 07:02
I chose D until i assumed that Jane and John inspected all products produced last month. At my first attempt, i thought that we could not assume like that since it is not stated in the question.
We may assume that the total number of Jane and John inspected is X% of all products produced last month.
Is it the typical of GMAT question which requires to solve using the unclear assumption?

Kudos [?]: 13 [0], given: 35

Re: Last month, John rejected 0.5% of the products that he inspected and   [#permalink] 07 Dec 2016, 07:02
Display posts from previous: Sort by