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# 7 married couples are sitting in the lounge of a certain

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1431
Location: India
7 married couples are sitting in the lounge of a certain  [#permalink]

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10 Mar 2018, 10:56
3
00:00

Difficulty:

65% (hard)

Question Stats:

47% (01:55) correct 53% (01:36) wrong based on 65 sessions

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7 married couples are sitting in the lounge of a certain airport on an evening. No other persons are present. Suddenly out of these 14 people, N people got up and left. No one else either came into or got away from the lounge. How many married couples are still remaining in the lounge?

(1) N > 10

(2) N < 13

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Joined: 26 Feb 2016
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Location: India
GPA: 3.12
7 married couples are sitting in the lounge of a certain  [#permalink]

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10 Mar 2018, 12:53
From the question stem, it is clear that there are 7 married couples
in the lounge and suddenly N people leave from the lounge. We need
to check how many married couples remain after these N people leave.

1. N > 10
N could be 11,12,13, or 14.
If N=11, there could be 1 couple and 1 husbands left in the lounge.
Other possibilities include all husbands/wives. As it is unclear, how
many married couples remain, this statement is not sufficient

2. N < 13
N could be between 1 and 12
Consider the same example that we have used to prove the validity
of Statement 1. Again, this statement is not sufficient

On combining the information in both the sentences, we can definitely say
that the number of people who got up and left is either 11 or 12. Using
the same case(if N=11, we can't clearly come to a conclusion about the
number of married couples which remain in the lounge) (Insufficient - Option E)
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Re: 7 married couples are sitting in the lounge of a certain  [#permalink]

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11 Mar 2018, 23:50
amanvermagmat wrote:
7 married couples are sitting in the lounge of a certain airport on an evening. No other persons are present. Suddenly out of these 14 people, N people got up and left. No one else either came into or got away from the lounge. How many married couples are still remaining in the lounge?

(1) N > 10

(2) N < 13

Posted from my mobile device

to find remaining couple we can say
14-N(couple member)/2
so N>10 it means N can be 11,12,13, and 14
so If we assume N= 11 then we can say 5 couple go and 1 more person according 1 couple left or we can also say first 7 are single member out of couple and rest 4 are their partners then we can say no couple is left all 3 are individuals insufficient.
Statement 2 N<13 N can be 1,2....12
same problem as above Not sufficient
Combing both N can be 11,12 Still we can't say left persons consist of 1 couple or just 3 persons.

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Re: 7 married couples are sitting in the lounge of a certain   [#permalink] 11 Mar 2018, 23:50
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