x is a factor of y

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

by sanju09 » Tue Oct 18, 2011 5:00 am

If x is a factor of y, then which of the following may not represent a whole number?
(A) x y
(B) x/y
(C) y/x
(D) y x/x
(E) x y/y

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Source: Beat The GMAT — Problem Solving | Tue Oct 18, 2011 5:00 am

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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 » Tue Oct 18, 2011 5:20 am

sanju09 wrote:If x is a factor of y, then which of the following may not represent a whole number?

If x is a factor of y then y = kx, where k is some integer.
Now let us check all the option one by one,

(A) xy --> Definitely a whole number
(B) x/y = x/(kx) = 1/k --> Is not a whole number when k is some integer other than 1. Hence x/y may not be whole number and we got our answer.
(C),(D), and (E) --> There is no need to check

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zooki: Junior | Next Rank: 30 Posts; Posts: 29; Joined: Fri Oct 14, 2011 10:15 amFollowed by: 1 member; Thanked: 4 times

by zooki » Tue Oct 18, 2011 5:28 am

pick {3, 12} and (2, 8}

only B works.

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Abhishek009: Master | Next Rank: 500 Posts; Posts: 359; Joined: Wed Mar 11, 2009 4:37 amFollowed by: 2 members; Location: Kolkata, India; Thanked: 50 times

by Abhishek009 » Tue Oct 18, 2011 6:39 am

sanju09 wrote:If x is a factor of y, then which of the following may not represent a whole number?
(A) x y
(B) x/y
(C) y/x
(D) y x/x
(E) x y/y

Since x is a factor of y

X < Y...

Now try the options...

U will be stuck with option B , coz -

Numerator is smaller than denominator , so a fraction will come out..

Hence option B doesn't represents a whole number...

Else U can follow zooki's method ..

Abhishek

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neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Tue Oct 18, 2011 6:51 am

If x is a factor of y, then which of the following may not represent a whole number?
Let x =2 , y =4

(A) x y = 8
(B) x/y = 1/2
(C) y/x = 2
(D) y x/x = 4
(E) x y/y = 2

So OA - B

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