Gmat Pref : avarages

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drgmatIL: Master | Next Rank: 500 Posts; Posts: 113; Joined: Sat Aug 02, 2008 12:49 pm; Thanked: 3 times

by drgmatIL » Tue Aug 12, 2008 3:11 am

I know it cannot be 140 or 130. it must be under the avarage
I took for example the situation when all the spices are 140 and the shortest is 60
so median is 140 ; avarage 124
but why 90 is wrong?

thanks

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Source: Beat The GMAT — Problem Solving | Tue Aug 12, 2008 3:11 am

sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

by sudhir3127 » Tue Aug 12, 2008 3:21 am

it has to be 100.

total is 124*5 = 620.

if 3 are of 140 = 3*140 =420.

thus with 2 woods u need to make it 200.( 620-420)

u can either choose 90 for the smallest and other one as 110.

but

u can also choose the two to be 100 each .

the question stem asks u for the maximum possible length of the shortest wood.

hence it shud be 100.

hope it helps...

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drgmatIL: Master | Next Rank: 500 Posts; Posts: 113; Joined: Sat Aug 02, 2008 12:49 pm; Thanked: 3 times

by drgmatIL » Tue Aug 12, 2008 3:22 am

sudhir3127,
thanx!!!!!!
greetings from IL

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