Consecutive Integers

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pkw209: Master | Next Rank: 500 Posts; Posts: 266; Joined: Mon Oct 19, 2009 9:46 pm; Thanked: 8 times; GMAT Score:690

by pkw209 » Tue Mar 09, 2010 1:55 pm

Any "X" consecutive positive integers will always include exactly one multiple of "X."

True or False?

Source: Beat The GMAT — Quantitative Reasoning | Tue Mar 09, 2010 1:55 pm

mohit11: Master | Next Rank: 500 Posts; Posts: 293; Joined: Thu Jan 14, 2010 9:08 am; Location: India; Thanked: 36 times; Followed by:5 members; GMAT Score:730

by mohit11 » Wed Mar 10, 2010 9:44 pm

Answer is YES, since a number is multiple of itself.

1 2 3 , x = 3 and 3 is a multiple of itself.

2 3 4 5 6 7 , x = 6, 6 is a multiple of itself.

kstv: Legendary Member; Posts: 610; Joined: Fri Jan 15, 2010 12:33 am; Thanked: 47 times; Followed by:2 members

by kstv » Sun Mar 14, 2010 4:04 am

I saw your earlier post similar to this

which at https://www.beatthegmat.com/3-c ... 54101.html

and searching for it I found another explanation by expert Stuart though not directly concerning this at

https://www.beatthegmat.com/divisibility ... t8627.html

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