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Every day Guy takes the same N sandwiches to work. Guy takes to work h

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Every day Guy takes the same N sandwiches to work. Guy takes to work h  [#permalink]

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New post 15 Sep 2013, 22:53
8
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A
B
C
D
E

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  75% (hard)

Question Stats:

55% (02:05) correct 45% (02:22) wrong based on 211 sessions

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Every day Guy takes the same N sandwiches to work. Guy takes to work how many more sandwiches that contain only ginger jam than sandwiches that contain only peanut butter ?

(1) Every day Guy takes to work 5 more sandwiches that do not contain peanut butter than sandwiches that do not contain ginger jam.

(2) Every sandwich Guy takes to work contains peanut butter or ginger jam or both.

I am really confused with the explanation that has been given in economist GMAT.My answer was A.
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Re: Every day Guy takes the same N sandwiches to work. Guy takes to work h  [#permalink]

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New post 16 Sep 2013, 01:30
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Every day Guy takes the same N sandwiches to work. Guy takes to work how many more sandwiches that contain only ginger jam than sandwiches that contain only peanut butter ?

{Total} = {ginger} + {peanut } - {both ginger and peanut} + {neither}.

The question asks to find the value of {only ginger} - {only peanut}.

Notice that since there can be some some other kinds of sandwiches (say bacon), than {only ginger} might NOT equal to {ginger} - {both ginger and peanut} and the same way {only peanut} might NOT equal to {peanut} - {both ginger and peanut}. Thus {only ginger} - {only peanut} might NOT equal to ({ginger} - {both ginger and peanut}) - ({peanut} - {both ginger and peanut}) = {ginger} - {peanut}.

(1) Every day Guy takes to work 5 more sandwiches that do not contain peanut butter than sandwiches that do not contain ginger jam.

# of sandwiches that do not contain peanut butter is {Total} - {peanut}.
# of sandwiches that do not contain ginger jam is {Total} - {ginger}.

So, we are given that ({Total} - {peanut}) - ({Total} - {ginger}) = {ginger} - {peanut} = 5.

Not sufficient.

(2) Every sandwich Guy takes to work contains peanut butter or ginger jam or both --> {Total} = {ginger} + {peanut } - {both ginger and peanut}. So, the question becomes:

{only ginger} - {only peanut } = ({ginger} - {both ginger and peanut}) - ({peanut} - {both ginger and peanut}) = {ginger} - {peanut} = ?

Not sufficient.

(1)+(2) {ginger} - {peanut} = 5. Sufficient.

Answer: C.

Hope it's clear.
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Re: Every day Guy takes the same N sandwiches to work. Guy takes to work h  [#permalink]

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New post 28 Jan 2014, 11:14
Bunuel wrote:
Every day Guy takes the same N sandwiches to work. Guy takes to work how many more sandwiches that contain only ginger jam than sandwiches that contain only peanut butter ?

{Total} = {ginger} + {peanut } - {both ginger and peanut} + {neither}.

The question asks to find the value of {only ginger} - {only peanut}.

Notice that since there can be some some other kinds of sandwiches (say bacon), than {only ginger} might NOT equal to {ginger} - {both ginger and peanut} and the same way {only peanut} might NOT equal to {peanut} - {both ginger and peanut}. Thus {only ginger} - {only peanut} might NOT equal to ({ginger} - {both ginger and peanut}) - ({peanut} - {both ginger and peanut}) = {ginger} - {peanut}.

(1) Every day Guy takes to work 5 more sandwiches that do not contain peanut butter than sandwiches that do not contain ginger jam.

# of sandwiches that do not contain peanut butter is {Total} - {peanut}.
# of sandwiches that do not contain ginger jam is {Total} - {ginger}.

So, we are given that ({Total} - {peanut}) - ({Total} - {ginger}) = {ginger} - {peanut} = 5.

Not sufficient.

(2) Every sandwich Guy takes to work contains peanut butter or ginger jam or both --> {Total} = {ginger} + {peanut } - {both ginger and peanut}. So, the question becomes:

{only ginger} - {only peanut } = ({ginger} - {both ginger and peanut}) - ({peanut} - {both ginger and peanut}) = {ginger} - {peanut} = ?

Not sufficient.

(1)+(2) {ginger} - {peanut} = 5. Sufficient.

Answer: C.

Hope it's clear.



Hi Bunuel, Can you please help with below approach?

Total = {Only ginger}+{Only Peanut}+{both}+{neither}

Statement 1: Every day Guy takes to work 5 more sandwiches that do not contain peanut butter than sandwiches that do not contain ginger jam

Can this be not taken as:

Sandwiches that do not contain peanut butter = {neither}+{Only ginger}
Sandwiches that do not contain ginger = {neither}+{Only Peanut}

Then stmt 1 is: {neither}+{Only ginger} = 5+{neither}+{Only Peanut}
so {Only ginger} - {Only Peanut} = 5. Which is what the question asks.

Am I missing something here? Also how can I make venn diagram so I can convey better?
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Re: Every day Guy takes the same N sandwiches to work. Guy takes to work h  [#permalink]

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New post 29 Jan 2014, 09:01
gmatprav wrote:
Bunuel wrote:
Every day Guy takes the same N sandwiches to work. Guy takes to work how many more sandwiches that contain only ginger jam than sandwiches that contain only peanut butter ?

{Total} = {ginger} + {peanut } - {both ginger and peanut} + {neither}.

The question asks to find the value of {only ginger} - {only peanut}.

Notice that since there can be some some other kinds of sandwiches (say bacon), than {only ginger} might NOT equal to {ginger} - {both ginger and peanut} and the same way {only peanut} might NOT equal to {peanut} - {both ginger and peanut}. Thus {only ginger} - {only peanut} might NOT equal to ({ginger} - {both ginger and peanut}) - ({peanut} - {both ginger and peanut}) = {ginger} - {peanut}.

(1) Every day Guy takes to work 5 more sandwiches that do not contain peanut butter than sandwiches that do not contain ginger jam.

# of sandwiches that do not contain peanut butter is {Total} - {peanut}.
# of sandwiches that do not contain ginger jam is {Total} - {ginger}.

So, we are given that ({Total} - {peanut}) - ({Total} - {ginger}) = {ginger} - {peanut} = 5.

Not sufficient.

(2) Every sandwich Guy takes to work contains peanut butter or ginger jam or both --> {Total} = {ginger} + {peanut } - {both ginger and peanut}. So, the question becomes:

{only ginger} - {only peanut } = ({ginger} - {both ginger and peanut}) - ({peanut} - {both ginger and peanut}) = {ginger} - {peanut} = ?

Not sufficient.

(1)+(2) {ginger} - {peanut} = 5. Sufficient.

Answer: C.

Hope it's clear.



Hi Bunuel, Can you please help with below approach?

Total = {Only ginger}+{Only Peanut}+{both}+{neither}

Statement 1: Every day Guy takes to work 5 more sandwiches that do not contain peanut butter than sandwiches that do not contain ginger jam

Can this be not taken as:

Sandwiches that do not contain peanut butter = {neither}+{Only ginger}
Sandwiches that do not contain ginger = {neither}+{Only Peanut}

Then stmt 1 is: {neither}+{Only ginger} = 5+{neither}+{Only Peanut}
so {Only ginger} - {Only Peanut} = 5. Which is what the question asks.

Am I missing something here? Also how can I make venn diagram so I can convey better?


Please re-read the red portion of my solution.
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Re: Every day Guy takes the same N sandwiches to work. Guy takes to work h  [#permalink]

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New post 06 Apr 2017, 23:55
Every day John takes the same N sandwiches to work. John takes to work how many more sandwiches that contain only ginger jam than sandwiches that contain only peanut butter?
(1) Every day John takes to work 5 more sandwiches that do not contain peanut butter than sandwiches that do not contain ginger jam.
(2) Every sandwich John takes to work contains only peanut butter, only ginger jam, or only a mixture of the two.
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Re: Every day Guy takes the same N sandwiches to work. Guy takes to work h  [#permalink]

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New post 07 Apr 2017, 00:00
akshayk wrote:
Every day John takes the same N sandwiches to work. John takes to work how many more sandwiches that contain only ginger jam than sandwiches that contain only peanut butter?
(1) Every day John takes to work 5 more sandwiches that do not contain peanut butter than sandwiches that do not contain ginger jam.
(2) Every sandwich John takes to work contains only peanut butter, only ginger jam, or only a mixture of the two.


Merging topics. Please refer to the solution above.
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Every day Guy takes the same N sandwiches to work. Guy takes to work h  [#permalink]

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New post 09 Oct 2018, 04:02
I solved it by using the double matrix as shown below!

As already explained above statement (1) is insuffcient, since we do not know if there are any other sandwiches...

Hence S(1) + S(2)=


Attachment:
Screen Shot 2018-10-09 at 13.01.16.png
Screen Shot 2018-10-09 at 13.01.16.png [ 14.36 KiB | Viewed 411 times ]


We know that the difference is going to be 5.
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Every day Guy takes the same N sandwiches to work. Guy takes to work h   [#permalink] 09 Oct 2018, 04:02
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