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# Felixity, a musician, never sings sad rock songs. Of the songs on Feli

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Math Expert
Joined: 02 Sep 2009
Posts: 56277
Felixity, a musician, never sings sad rock songs. Of the songs on Feli  [#permalink]

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21 Sep 2016, 03:54
1
3
00:00

Difficulty:

85% (hard)

Question Stats:

56% (02:42) correct 44% (03:01) wrong based on 99 sessions

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Felixity, a musician, never sings sad rock songs. Of the songs on Felixity's new album, 20 songs are not sad, and 25 songs are not rock songs. How many of the songs in Felixity's new album are neither sad nor rock songs?

(1) Of the songs on Felixity's new album, the number of rock songs that are not sad is 5 less than the number of sad songs that are not rock songs.

(2) There are 30 songs on Felixity's new album.

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Joined: 08 Jun 2013
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Re: Felixity, a musician, never sings sad rock songs. Of the songs on Feli  [#permalink]

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21 Sep 2016, 05:57
1
We have to find how many songs are neither sad nor rock.
Felicity never sings sad rock songs but maybe she sings other type of sad songs
Not rock = 25
Not Rock Rock

25. 5 30(B)

(A) from statement A
(B) from statement B
Z - to be found out

From A, x-5 + 0 =?
Value of x can't be found hence z can't be found

From B,

X + 0 = 10 , X =10
And x+z =25
Hence z =15

B is sufficient.

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Re: Felixity, a musician, never sings sad rock songs. Of the songs on Feli  [#permalink]

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21 Sep 2016, 21:26
B is Sufficient

by applying Both sad and Rock = 0, rest of the values can be determined
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Joined: 09 Sep 2013
Posts: 11666
Re: Felixity, a musician, never sings sad rock songs. Of the songs on Feli  [#permalink]

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05 Mar 2018, 13:23
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Re: Felixity, a musician, never sings sad rock songs. Of the songs on Feli   [#permalink] 05 Mar 2018, 13:23
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