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# Of the 90 houses in a certain community, 60 have a garden. How many

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Senior PS Moderator
Joined: 26 Feb 2016
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Location: India
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Of the 90 houses in a certain community, 60 have a garden. How many  [#permalink]

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16 Oct 2017, 12:47
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Difficulty:

75% (hard)

Question Stats:

40% (01:46) correct 60% (01:50) wrong based on 44 sessions

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Of the 90 houses in a certain community, 60 have a garden. How many houses have a lobby?

1. 50 houses in the community have a garden but do not have a lobby.
2. The number of houses in the community that have both a garden and a lobby is equal to the number of houses that have neither.

Source : Experts Global

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Joined: 02 Aug 2009
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Re: Of the 90 houses in a certain community, 60 have a garden. How many  [#permalink]

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16 Oct 2017, 19:46
pushpitkc wrote:
Of the 90 houses in a certain community, 60 have a garden. How many houses have a lobby?

1. 50 houses in the community have a garden but do not have a lobby.
2. The number of houses in the community that have both a garden and a lobby is equal to the number of houses that have neither.

Source : Experts Global

Hi..

Let's see the statements
1. 50 houses in the community have a garden but do not have a lobby.
60 had garden and 50 have only garden so 10 have both but nothing more.
Insufficient

2. The number of houses in the community that have both a garden and a lobby is equal to the number of houses that have neither.
$$L_{only}+G_{only}+both+neither=90$$
Let both=x=neither...
We are looking for L_only+x...
So $$L_{only}+G_o+B+n=L_o+60+x=90......L_o+x=30$$
Sufficient

B
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Re: Of the 90 houses in a certain community, 60 have a garden. How many  [#permalink]

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16 Oct 2017, 20:05
pushpitkc wrote:
Of the 90 houses in a certain community, 60 have a garden. How many houses have a lobby?

1. 50 houses in the community have a garden but do not have a lobby.
2. The number of houses in the community that have both a garden and a lobby is equal to the number of houses that have neither.

Source : Experts Global

This is a copy of the following GMAT Prep question: https://gmatclub.com/forum/of-the-75-ho ... 60352.html
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Re: Of the 90 houses in a certain community, 60 have a garden. How many &nbs [#permalink] 16 Oct 2017, 20:05
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