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

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06 Oct 2009, 02:15

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

62% (01:46) correct
38% (02:21) wrong based on 99 sessions

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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?

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

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06 Oct 2009, 10:37

1

This post received 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 8(5/6)+5(1/6)=45/6=7.5 matches so thats your answer. 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.

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

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07 Mar 2010, 00:07

1

This post received 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.

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

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15 Dec 2015, 01:50

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).

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

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07 Dec 2016, 08:02

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?