evenly divides..

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7806: Senior | Next Rank: 100 Posts; Posts: 45; Joined: Tue Aug 03, 2010 1:10 am

by 7806 » Wed Sep 08, 2010 4:19 am

hi guys/experts.

i need a clarification about this statement:

if i say, interger a evenly divides i nterger b i.e b/a=k, so k=..??

(k=1,2,3,4....etc or k=0,2,4,6..etc. or can k also may be -ve.)

thanks.

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Source: Beat The GMAT — Problem Solving | Wed Sep 08, 2010 4:19 am

debmalya_dutta: Master | Next Rank: 500 Posts; Posts: 385; Joined: Sun Jul 12, 2009 10:16 pmFollowed by: 2 members; Thanked: 29 times; GMAT Score:710

by debmalya_dutta » Wed Sep 08, 2010 4:55 am

7806 wrote:hi guys/experts.

i need a clarification about this statement:

if i say, interger a evenly divides i nterger b i.e b/a=k, so k=..??

(k=1,2,3,4....etc or k=0,2,4,6..etc. or can k also may be -ve.)

thanks.

"evenly divides" just means that the remainder = 0....

@Deb

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Stuart@KaplanGMAT: GMAT Instructor; Posts: 3225; Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members; Location: Toronto; Thanked: 1710 times; GMAT Score:800

by Stuart@KaplanGMAT » Wed Sep 08, 2010 9:11 am

debmalya_dutta wrote:
7806 wrote:hi guys/experts.

i need a clarification about this statement:

if i say, interger a evenly divides i nterger b i.e b/a=k, so k=..??

(k=1,2,3,4....etc or k=0,2,4,6..etc. or can k also may be -ve.)

thanks.
"evenly divides" just means that the remainder = 0....

This is correct. Another way you can express the idea is that if x evenly divides y, then x is a factor of y and y is a multiple of x; similarly, y/x is an integer. Sometimes we also say that "x goes into y".

"x evenly divides y" does NOT mean that y/x is even.

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

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lokesh r: Master | Next Rank: 500 Posts; Posts: 156; Joined: Sat Sep 04, 2010 2:27 am; Location: Leeds,UK; Thanked: 1 times

by lokesh r » Wed Sep 08, 2010 12:01 pm

K can be defnitely be negative or positive.

K is positive when both a and b are positive or when both a and b are negative.

K is negative when either of a or b is negative.

Consider a =-10 and b=2

-10/2=-5 leaving remainder 0 and k=-5.

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7806: Senior | Next Rank: 100 Posts; Posts: 45; Joined: Tue Aug 03, 2010 1:10 am

by 7806 » Thu Sep 09, 2010 1:21 am

thanks guys , thanks stuart.

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neerajkumar1_1: Master | Next Rank: 500 Posts; Posts: 270; Joined: Wed Apr 07, 2010 9:00 amFollowed by: 2 members; Thanked: 24 times

by neerajkumar1_1 » Thu Sep 09, 2010 2:25 am

Just to add ... Do we also consider y=0 also as a soln to: x evenly divides y????

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