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OG-12 #50

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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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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