Is this a valid Q?

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vardhans83: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Thu Mar 03, 2011 11:04 amFollowed by: 1 member

by vardhans83 » Sat Mar 05, 2011 10:28 am

In a club, people study either business management(BM) or French. If 80% study BM, 40% study french. How many people study both business management and French?

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Source: Beat The GMAT — Problem Solving | Sat Mar 05, 2011 10:28 am

Night reader: Legendary Member; Posts: 1337; Joined: Sat Dec 27, 2008 6:29 pmFollowed by: 10 members; Thanked: 127 times

by Night reader » Sat Mar 05, 2011 11:29 am

it seems valid --> 80% study BM and 40% study French, BM&French is 20%
%% 80-20=60 BM
%% 40-20=20 French
%% 20 BM&French
%% 20+60 + 20=100 Class

vardhans83 wrote:In a club, people study either business management(BM) or French. If 80% study BM, 40% study french. How many people study both business management and French?

Last edited by Night reader on Sat Mar 05, 2011 12:36 pm, edited 1 time in total.

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jk2010: Senior | Next Rank: 100 Posts; Posts: 66; Joined: Wed Sep 29, 2010 8:41 am; Location: Washhington, DC; Thanked: 8 times

by jk2010 » Sat Mar 05, 2011 11:34 am

If there are 100 people in the club,

80 BM + 40 F - Both = 100

120-both=100

Both =20

I don't see the other 10%

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Night reader: Legendary Member; Posts: 1337; Joined: Sat Dec 27, 2008 6:29 pmFollowed by: 10 members; Thanked: 127 times

by Night reader » Sat Mar 05, 2011 12:35 pm

yes you are correct it makes 60 alone BM, 20 alone French and 20 both BM and French

jk2010 wrote:If there are 100 people in the club,

80 BM + 40 F - Both = 100

120-both=100

Both =20

I don't see the other 10%

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edvhou812: Master | Next Rank: 500 Posts; Posts: 143; Joined: Sat Nov 06, 2010 9:06 pmFollowed by: 1 member; Thanked: 10 times

by edvhou812 » Tue Mar 22, 2011 11:38 pm

vardhans83 wrote:In a club, people study either business management(BM) or French. If 80% study BM, 40% study french. How many people study both business management and French?

This question is lame, unless it is supposed to be a data sufficiency problem. The question only gives percentages, and then it suddenly wants a integer. Only way that this can be a PS is if the end of the stem asked for a percentage. With the available info, we can only figure out that 20% take both though.

320 is common multiple of 80 and 40

320*.80=256

320*.40=128

256+128=384

384-320=64

64/320=.20

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