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Among the respondents of a survey, one-fourth do not like to watch mov

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Among the respondents of a survey, one-fourth do not like to watch mov  [#permalink]

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New post 01 Dec 2018, 09:10
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

24% (01:42) correct 76% (01:57) wrong based on 55 sessions

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GMATbuster's Weekly Quant Quiz#11 Ques #3


For Questions from earlier quizzes: Click Here


Among the respondents of a survey, one-fourth do not like to watch movies; and of those who do not like to watch movies, two-third do not like to read also. Can the number of respondents who do not like to read be 70?

(1) The number of respondents who like to read and also like to watch movies is 110

(2) The number of respondents of the survey is 480

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Re: Among the respondents of a survey, one-fourth do not like to watch mov  [#permalink]

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New post 01 Dec 2018, 09:29
workout wrote:

GMATbuster's Weekly Quant Quiz#11 Ques #3


For Questions from earlier quizzes: Click Here


Among the respondents of a survey, one-fourth do not like to watch movies; and of those who do not like to watch movies, two-third do not like to read also. Can the number of respondents who do not like to read be 70?

(1) The number of respondents who like to read and also like to watch movies is 110

(2) The number of respondents of the survey is 480
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Re: Among the respondents of a survey, one-fourth do not like to watch mov  [#permalink]

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New post 01 Dec 2018, 10:06
Oh this one is tricky . One tends to assume that the entire population of the people who like to read or do not like to read comes from people who do not like to watch movies

But Statement A bursts that bubble and clearly points to the right direction that there can be people who like to watch movies and a certain % of those may like to read or may not like to read ( the argument provides no info about this segment , nor can it be inferred )

I will go with E

Among the respondents of a survey, one-fourth do not like to watch movies; and of those who do not like to watch movies, two-third do not like to read also. Can the number of respondents who do not like to read be 70?

(1) The number of respondents who like to read and also like to watch movies is 110

(2) The number of respondents of the survey is 480

Total - X
Do not Like to watch movie - X/4
SO Like to watch movie - 3X/4

ALso
Of the X/4 people who do not like to watch movie

Do not like to Read = 2/3 *X/4 ( people who do not like to watch movie and do not like to read , i think they are into sports :D)
So like to read = X/4 - (2/3*X/4)

Statement A - No information can be inferred about people who like to watch movie and like to read SO not Sufficient
Statement B -Gives value of X . but there can be people who like to watch movies and do not like to read , of whom no info has been provided

Please correct me if i am wrong:)

Thanku
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Among the respondents of a survey, one-fourth do not like to watch mov  [#permalink]

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New post 01 Dec 2018, 10:09
No of respondents = x
like movies 1/4x............
like to read 1/3*1/4 x= 1/12 x
not like to read 2/3 *1/4 x = 1/6x

Dont like movies 3/4 x
Dont like to read =a
like to read = b

statement 1
a= 110
Those who like to read can never be 70 as a= 110
hence statement 1 sufficient

statement 2
x= 480
those who dont like to watch movie and dont like to read = (1/6) * 480 = 80
those who dont like to read can never be 70
hence statement 2 is sufficient

answer is D option
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Re: Among the respondents of a survey, one-fourth do not like to watch mov  [#permalink]

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New post 11 Dec 2018, 08:47
harshsaini wrote:
No of respondents = x
like movies 1/4x............
like to read 1/3*1/4 x= 1/12 x
not like to read 2/3 *1/4 x = 1/6x

Dont like movies 3/4 x
Dont like to read =a
like to read = b

statement 1
a= 110
Those who like to read can never be 70 as a= 110
hence statement 1 sufficient

statement 2
x= 480
those who dont like to watch movie and dont like to read = (1/6) * 480 = 80
those who dont like to read can never be 70
hence statement 2 is sufficient

answer is D option



Dont you think you have reversed like to read and dont like to read , like movies and dont like movies ?.

Also can you pls explain this statment
statement 1
a= 110
Those who like to read can never be 70 as a= 110
hence statement 1 sufficient
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Re: Among the respondents of a survey, one-fourth do not like to watch mov  [#permalink]

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New post 12 Dec 2018, 00:11
NCRanjan wrote:
harshsaini wrote:
No of respondents = x
like movies 1/4x............
like to read 1/3*1/4 x= 1/12 x
not like to read 2/3 *1/4 x = 1/6x

Dont like movies 3/4 x
Dont like to read =a
like to read = b

statement 1
a= 110
Those who like to read can never be 70 as a= 110
hence statement 1 sufficient

statement 2
x= 480
those who dont like to watch movie and dont like to read = (1/6) * 480 = 80
those who dont like to read can never be 70
hence statement 2 is sufficient

answer is D option



Dont you think you have reversed like to read and dont like to read , like movies and dont like movies ?.

Also can you pls explain this statment
statement 1
a= 110
Those who like to read can never be 70 as a= 110
hence statement 1 sufficient


yes! you are right I jumbled the whole answer.
But now as I was attempting this question again. Here is the new solution.

Total respondents = x

dont like movie = 1/4 x
dont like to read = 1/6 x
like to read = 1/12 x

like movies = 3/4 x
dont like to read = a
like to read = b

to find = 1/6 x + a

statement 1
b = 110
a = 3/4 x - 110
now what we have to find is 1/6 x + a = 70
1/6 x + 3/4 x - 110 = 70
11/12 x = 180
( x is coming in decimal which cant be the case as x should always be the natural number)

hence statement 1 is sufficient ( please do tell whether my thought process is correct)

statement 2
total respondent = 480
dont like to read and dont like movies = 1/6 x= 80
and the one who dont like to read can never be 70
statement 2 sufficient

hence option D
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Re: Among the respondents of a survey, one-fourth do not like to watch mov &nbs [#permalink] 12 Dec 2018, 00:11
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Among the respondents of a survey, one-fourth do not like to watch mov

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