arrange tamarind seeds!

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ashish1354: Master | Next Rank: 500 Posts; Posts: 100; Joined: Wed Jul 30, 2008 9:52 am; Thanked: 4 times

by ashish1354 » Mon Dec 15, 2008 6:31 am

A girl took some tamarind seeds and made groups of five with them, and found that one seed was left over. She tried making groups of four and six. Eachtime one seed was left over. What is the smallest number of seeds girl had?

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Source: Beat The GMAT — Problem Solving | Mon Dec 15, 2008 6:31 am

dmateer25: Community Manager; Posts: 1049; Joined: Sun Apr 06, 2008 5:15 pmFollowed by: 27 members; Location: Pittsburgh, PA; Thanked: 113 times; GMAT Score:710

by dmateer25 » Mon Dec 15, 2008 6:54 am

Is it 61?

LCM of 4, 5 and 6

4 = 2 x 2
5 = 5
6 = 3 x 2

LCM = 2 x 2 x 3 x 5 = 60

add 1 to this for them to always have a remainder of 1.

61

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4meonly: Legendary Member; Posts: 891; Joined: Sat Aug 16, 2008 4:21 amFollowed by: 1 member; Thanked: 27 times; GMAT Score:660(

by 4meonly » Mon Dec 15, 2008 7:06 am

Yes. it should be 61

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