OG-12 #50

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theachiever: Master | Next Rank: 500 Posts; Posts: 116; Joined: Wed Oct 03, 2012 10:44 pmFollowed by: 1 member; Thanked: 5 times

by theachiever » Mon Nov 19, 2012 10:04 pm

If y is an integer,then the least possible value of |23-5y| is

A.1
B.2
C.3
D.4
E.5

Please explain in detail explanation in OG was not clear

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Source: Beat The GMAT — Problem Solving | Mon Nov 19, 2012 10:04 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Nov 19, 2012 10:19 pm

theachiever wrote:If y is an integer,then the least possible value of |23-5y| is

A.1
B.2
C.3
D.4
E.5

Please explain in detail explanation in OG was not clear

Obviously, l23-5yl is least when 5y is closest to 23.
Multiple of 5 closest to 23 is 25 and this makes y as 5.
Or l23-5yl is least as l23-25l = 2.

The correct answer is B.

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