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# In an organization there were two waiting rooms P&Q with different num

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Manager
Joined: 25 Dec 2018
Posts: 146
Location: India
GMAT 1: 490 Q47 V13
GPA: 2.86
In an organization there were two waiting rooms P&Q with different num  [#permalink]

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25 Jan 2019, 08:39
1
1
00:00

Difficulty:

35% (medium)

Question Stats:

71% (02:39) correct 29% (02:17) wrong based on 18 sessions

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In an organization, there were two waiting rooms P&Q with a different number of chairs in them. Initially, equal number of people occupied 1/5th of the chairs in P and 3/4th of the chairs in Q. Later, if people from both the rooms were merged in a third room N which was of same capacity as that of P, what fraction of the room N was filled?

A. 1/10
B. 2/5
C. 3/5
D. 2/3
E. None of these
Director
Joined: 09 Mar 2018
Posts: 909
Location: India
Re: In an organization there were two waiting rooms P&Q with different num  [#permalink]

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25 Jan 2019, 09:02
1
akurathi12 wrote:
In an organization, there were two waiting rooms P&Q with a different number of chairs in them. Initially, equal number of people occupied 1/5th of the chairs in P and 3/4th of the chairs in Q. Later, if people from both the rooms were merged in a third room N which was of same capacity as that of P, what fraction of the room N was filled?

A. 1/10
B. 2/5
C. 3/5
D. 2/3
E. None of these

1/5 * P = 3/4 Q

P = 15/4 Q

Now just plug in some value, say Q = 12, P will be 45

Room 1 =1/5 *45 = 9
Room 2 = 3/4 *12 = 9

Room N = 18/45 = 2/5

B
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Re: In an organization there were two waiting rooms P&Q with different num   [#permalink] 25 Jan 2019, 09:02
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