Locality

Expert replies

shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Mon Feb 15, 2010 10:48 pm

Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of families in the locality is
A) 4
B) 5
C) 2
D) 3
E) None of these

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Source: Beat The GMAT — Problem Solving | Mon Feb 15, 2010 10:48 pm

gmatmachoman: Legendary Member; Posts: 2326; Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members; Thanked: 173 times; GMAT Score:710

by gmatmachoman » Mon Feb 15, 2010 10:58 pm

Possibel combinatiosn are

[spoiler]3 families :[/spoiler]

2A+2B+1G

2A+1b+2g

2a+2b+1g

All conditions are satisfied :

Each family in a locality has at most two adults --- YES

and no family has fewer than 3 children.--YES

Considering all the families together, there are more adults than boys, ----YES

more boys than girls, ---YES

and more girls than families.---YES

Then the minimum possible number of families in the locality is 3

IMO D

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komal: Legendary Member; Posts: 777; Joined: Fri Jan 01, 2010 4:02 amFollowed by: 47 members; Location: Mumbai, India; Thanked: 117 times

by komal » Tue Feb 16, 2010 8:50 am

shashank.ism wrote:Each family in a locality has at most two adults, and no family has fewer than 3 children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of families in the locality is
A) 4
B) 5
C) 2
D) 3
E) None of these

adult >boys >girls >families
A B G F
4 3 2 1-4 Adults per family-not applicable
5 4 3 2 – adult\family>2
6 5 4 3 – possible condition
Hence answer is option 4.The minimum possible no of families are 3.

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