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# Background information: This year, each film submitted to

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Intern
Joined: 15 Nov 2014
Posts: 21
Re: Background information: This year, each film submitted to [#permalink]

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07 Mar 2015, 12:30
Hi I cannot get why E is the correct answer. I choose D as it explains that the acceptance rate is not determined while the number of films was already predetermined. Can somebody explain for me how to deal with such a type of questions ? . Thanks
ankur55 wrote:
Background information: This year, each film submitted to the Barbizon Film Festival
was submitted in one of ten categories. For each category, there was a panel that decided
which submitted films to accept.
Fact 1: Within each category, the rate of acceptance for domestic films was the same as
that for foreign films.
Fact 2: The overall rate of acceptance of domestic films was significantly higher than
that of foreign films.
In light of the background information, which of the following, if true, can account for
fact 1 and fact 2 both being true of the submissions to this year’s Barbizon Film Festival?
A. In each category, the selection panel was composed of filmmakers, and some
selection panels included no foreign filmmakers.
B. Significantly more domestic films than foreign films were submitted to the
festival.
C. In each of the past three years, the overall acceptance rate was higher for foreign
than for domestic films, an outcome that had upset some domestic filmmakers.
D. The number of films to be selected in each category was predetermined, but in no
category was it required that the acceptance rate of foreign films should equal that
of domestic films.
E. Most foreign films, unlike most domestic films, were submitted in categories with
high prestige, but with correspondingly low rates of acceptance.
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Re: Background information: This year, each film submitted to [#permalink]

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24 Apr 2015, 06:04
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Re: Background information: This year, each film submitted to [#permalink]

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28 Apr 2015, 06:34
goalsnr wrote:
Background information: This year, each film submitted to the Barbizon Film Festival was submitted in one of ten categories. For each category, there was a panel that decided which submitted films to accept.

Fact 1: Within each category, the rate of acceptance for domestic films was the same as that for foreign films.

Fact 2: The overall rate of acceptance of domestic films was significantly higher than that of foreign films.

In light of the background information, which of the following, if true, can account for fact 1 and fact 2 both being true of the submissions to this year's Barbizon Film Festival?

(A) In each category, the selection panel was composed of filmmakers, and some selection panels included no foreign filmmakers.
(B) Significantly more domestic films than foreign films were submitted to the festival.
(C) In each of the past three years, the overall acceptance rate was higher for foreign than for domestic films, an outcome that had upset some domestic filmmakers.
(D) The number of films to be selected in each category was predetermined, but in no category was it required that the acceptance rate of foreign films should equal that of domestic films.
(E) Most foreign films, unlike most domestic films, were submitted in categories with high prestige, but with correspondingly low rates of acceptance.

I have chosen C.Can anyone explain why OA is E?
E is clearly going against the first statement(fact) by declaring "low rate of acceptance".
mikemcgarry can u help?
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Re: Background information: This year, each film submitted to [#permalink]

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16 May 2016, 04:46
Hello from the GMAT Club VerbalBot!

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Joined: 12 Aug 2015
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Re: Background information: This year, each film submitted to [#permalink]

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16 May 2016, 04:51
First of this question (originally posted a decade ago) has shown up today in my EP2 Cat 6. Second the official answer is invalid. The answer should be B as mayank760 has perfectly proved.

Option E violates the given information - Fact 1: Within each category
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Re: Background information: This year, each film submitted to [#permalink]

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10 Jun 2016, 03:48
The correct answer is E and not B.
Let me explain.

Option B relies on the fact that number of domestic film was higher than foreign film.
Read again what option B says:-
B) "Significantly more domestic films than foreign films were submitted to the festival."

Lets simplify Option B to make it more fluid and straightforward. It can be simplified as

B) Number of Domestic film is more than number of foreign film.
OK !!! Everyone with me till this point ?

Now lets see what option E says
E) "Most foreign films, unlike most domestic films, were submitted in categories with high prestige, but with correspondingly low rates of acceptance"

humm... now let us simplify the statement and remove bits that author deliberately put to confuse us. The simplified statements become

E) "Most foreign films were submitted in categories in which the acceptance rate was low"

B replies on the fact that number of domestic film is higher than foreign film.
Domestic films > Foreign films (do u remember this from the start of the problem )
so according to option B ===> Domestic films = 1000 and foreign films = 500

Now if somehow we are able to prove statement 1 and 2 by doing opposite of Option B, then option B would automatically become a suspect option (Much like a DS problem in Quant )

So lets break this condition of Option B by doing the reverse
Let us make the number of foreign films greater than domestic films
so Domestic film = 500 and foreign films = 1000
Now we have broken what Option B is assuming. Recheck the original option B yourself and see that we have reversed what B is saying.

ok !! good.. everyone agree?

Now lets move to statements

Statement 1 ) Within each category, the rate of acceptance for domestic films was the same as that for foreign films.

Rather than assuming that there are 10 categories assume there are only 2 categories JURY'S AWARD and PEOPLE"S AWARD. What you can prove for two categories, you can prove for prove for n number of categories by extending the logic as we will see later. But for now just assume that there are only these 2 categories.. JURY'S AWARD and PEOPLE"S AWARD

JURY'S AWARD ACCEPTANCE RATE = 1%

If 900 Foreign films out of 1000 foreign films compete for Jury's Award:-
1% of 900 foreign films will be finally accepted = 9 Foreign Films accepted
If 100 domestic films out of total 500 compete for same Jury's award then:-
1% of 100 domestic films will be finally accepted = 1 Domestic Film accepted

Now the second category is People's Award
PEOPLE'S AWARD ACCEPTANCE RATE = 50 %

How many foreign films out of 1000 are remaining to compete in this category (1000-900)= 100 films
50% of 100 foreign films = 50 Foreign Film

How many Domestic films out of 500 are remaining to compete in this category (500-100)= 400 films
50% of 400 foreign films = 200 Domestic Film

AND we have our solution
Total number of foreign films selected out of 1000 = (9+50)= 59 Foreign Films/ Total 1000 Foreign Films ==>59/1000
Total number of domestic film = (1+200)= 201 Domestic films = 201 Domestic Films / Total 500 Domestic Film ==>201/500

so we proved that despite rates of acceptance being similar and despite sending only 500 domestic films, the overall of number of domestic film selected (201) is greater than overall number of Foreign films selected (59) which send 1000 films
This is exactly opposite to what statement B says
B) Significantly more domestic films were submitted to the festival as compared to the foreign films (NOPE ... YOU ARE WRONG)
or what we SIMPLIFIED at the start
B) Number of Domestic film is more than number of foreign film. (NOPE ... YOU ARE WRONG AGAIN)

SO B IS NOT THE ANSWER. THE ANSWER IS E WHICH I PROVEN BY THE EXPLANATION.
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Re: Background information: This year, each film submitted to [#permalink]

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26 Aug 2016, 05:55
Hello from the GMAT Club VerbalBot!

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Re: Background information: This year, each film submitted to [#permalink]

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29 Sep 2016, 02:26
I think Its B,

Lets say if 100 local and 50 foreign movies are submitted.

rate of acceptance is same . so let rate by 10 % for both the foreign and local

so 10 % of 100 = 10 and 10 % of 50 = 5
Obviously even if the rates are same, the number will be higher for local than foreign.

I go with B

I discarded E because it says " were submitted in categories with high prestige, but with correspondinly low rates of acceptance"
here rate of acceptance of both the foreign and local are same as per fact 1
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Re: Background information: This year, each film submitted to [#permalink]

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26 Mar 2017, 08:16
E for me . The best out of all B is a trap
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Re: Background information: This year, each film submitted to [#permalink]

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27 Jul 2017, 21:39
Merged topics. Please, search before posting questions!
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Re: Background information: This year, each film submitted to [#permalink]

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14 Aug 2017, 06:27
licampus wrote:
the right answer really is 'E',and there is a trap in 'E'
First,why is 'B' wrong,see the explanation below:
D denotes demestic films,F denotes foreign films
category 1,rate=20%
D:100*20%=20
F:20*20%=4
category 2,rate=20%
D:500*20%=100
F:100*20%=20

overall rate(D)=(20+100)/(100+500)=120/600=20%
overall rate(F)=(4+20)/(20+100)=24/120=20%

SO,more domestic films don't mean higher overall rate.

Second,'E' says MOST F were submitted in CATEGORIES with low rates
As you see,that's the category which has low rate of acceptance,NOT F has the low rate of acceptance.That is really a trap which causes you to believe that 'E' contradics fact 1.
So:
category 1,rate=20%
D:100*20%=20
F:20*20%=4
category 2,RATE=5%
D:100*5%=5
F:400*5%=20

overall rate(D)=(20+20)/(100+100)=40/200=20%
overall rate(F)=(5+20)/(20+400)=25/420=6%(approximately)

as the calculation above,that most F were in category 2 and the rate of category 2 is extremely low both to D and F,causes the overall rate of F is around 6%

Sorry, but that's because you chose an example with equal weighting across both categories. The question only says that the weighting has to be the same within categories, but each category can have different acceptance rates. Please see below example that adheres to the prompt.

Please see the below example (I'd going to reduce to 4 categories to make it a bit easier)

(first number is accepted, 2nd is submitted)
Category 1: D (2/10=20%), F (2/10=20%)
Category 2: D (2/8= 25%), F (1/4=25%)
Category 3: D (14/20=70%), F (7/10=70%)
Category 4: D (4/20=20%), F (2/10=20%)

Overall: D (22/58=37.9%), F (12/34=35.3%)

Thus, because # of domestic films was higher overall (in category 3), it had a higher overall acceptance rate. Can a verbal expert chime in here please?
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Re: Background information: This year, each film submitted to [#permalink]

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30 Nov 2017, 13:02
Let's put it in extreme situation. Let's say there are 9 categories of low low prestige, and both domestic and foreign films are 100 out of 100 accepted in those 9 categories, therefore 100%. Then In the only high prestige category, domestic films are 1/10, and the foreign films are 10/100. Overall, domestic films are 100/110, foreign films are 110/200. Answer E is correct.
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Background information: This year, each film submitted to [#permalink]

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18 Dec 2017, 16:13
brandon7 wrote:
licampus wrote:
the right answer really is 'E',and there is a trap in 'E'
First,why is 'B' wrong,see the explanation below:
D denotes demestic films,F denotes foreign films
category 1,rate=20%
D:100*20%=20
F:20*20%=4
category 2,rate=20%
D:500*20%=100
F:100*20%=20

overall rate(D)=(20+100)/(100+500)=120/600=20%
overall rate(F)=(4+20)/(20+100)=24/120=20%

SO,more domestic films don't mean higher overall rate.

Second,'E' says MOST F were submitted in CATEGORIES with low rates
As you see,that's the category which has low rate of acceptance,NOT F has the low rate of acceptance.That is really a trap which causes you to believe that 'E' contradics fact 1.
So:
category 1,rate=20%
D:100*20%=20
F:20*20%=4
category 2,RATE=5%
D:100*5%=5
F:400*5%=20

overall rate(D)=(20+20)/(100+100)=40/200=20%
overall rate(F)=(5+20)/(20+400)=25/420=6%(approximately)

as the calculation above,that most F were in category 2 and the rate of category 2 is extremely low both to D and F,causes the overall rate of F is around 6%

Sorry, but that's because you chose an example with equal weighting across both categories. The question only says that the weighting has to be the same within categories, but each category can have different acceptance rates. Please see below example that adheres to the prompt.

Please see the below example (I'd going to reduce to 4 categories to make it a bit easier)

(first number is accepted, 2nd is submitted)
Category 1: D (2/10=20%), F (2/10=20%)
Category 2: D (2/8= 25%), F (1/4=25%)
Category 3: D (14/20=70%), F (7/10=70%)
Category 4: D (4/20=20%), F (2/10=20%)

Overall: D (22/58=37.9%), F (12/34=35.3%)

Thus, because # of domestic films was higher overall (in category 3), it had a higher overall acceptance rate. Can a verbal expert chime in here please?

My test case/logic was similar to brandon7's. Actually, an example using just 2 categories would prove same point: namely, that the paradox is resolved if Domestic submissions constitute a greater portion of total submissions than Foreign submissions in high acceptance categories. That said, can anyone provide a solid reason for why Option D is wrong? Is it a Must Be True vs Could be True issue? (seems like a resolve paradox but correct me if I'm wrong)

For instance, If I use @brandon7's example to test the compatibility of Option D:
"Number of films to be selected in each category was predetermined....."
>> we could for instance preselect 3,3,21,6 for each category
"...But in no category was it required that the acceptance rate of Foreign = Domestic"
>> while the chance of not violating Fact 2 would be very low, there's a scenario where this could hold
Thus, Option D would seem to fit both Facts, since nothing in it constrains the total number of foreign or domestic submissions within categories.

Thanks
Background information: This year, each film submitted to   [#permalink] 18 Dec 2017, 16:13

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