Is 2x a multiple of y?

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finance: Master | Next Rank: 500 Posts; Posts: 150; Joined: Tue Mar 08, 2011 4:38 am; Thanked: 5 times

Is 2x a multiple of y?

by finance » Sun Jun 05, 2011 8:06 am

Is 2x a multiple of y?

(1) 2x+2 is a multiple of y
(2) y is a multiple of x

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Source: Beat The GMAT — Data Sufficiency | Sun Jun 05, 2011 8:06 am

cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 am; Location: India; Thanked: 310 times; Followed by:123 members; GMAT Score:750

by cans » Sun Jun 05, 2011 8:24 am

2x multiple of y??
a)2x+2 is multiple of y
let x=1,y=2 a) is satisfied. also 2x is multiple of y.
let x=4,y=5 a) is satisfied. 2x is not multiple of y.
Insufficient
b)y is multiple of x
y=m*x (m is an integer)
x=y/m -> 2x = 2y/m
2x is multiple of y only when 2/m is an integer (can be true when m=2 and can be false when m=3)
Insufficient

a&b together) x=1/2 ; y=3 a&b satisfied. 2x is not multiple of y.
x=y=2. a and b satisfied. 2x is multiple of y
Thus insufficient
IMO E

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sunilramu: Junior | Next Rank: 30 Posts; Posts: 22; Joined: Thu Feb 24, 2011 4:47 am; Thanked: 1 times

by sunilramu » Sun Jun 05, 2011 9:07 am

Say, x = 1 then 2x = 2, and 2x+2 = 4

1. Possible values of y from statement 1(2x+2 is multiple of y) are 1,2,4 (Insufficient since 2x which is 2 in our case is not a multiple of 4).
2. Possible values of y from statement 2(y is multiple of x) are 1,2,3,4,5...(Insufficient)
3. Possible values of y from statement 1&2(2x+2 is multiple of y, y is multiple of x) are 1,2,4 (Insufficient).

IMO E

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Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 am; Location: India; Thanked: 375 times; Followed by:53 members

by Frankenstein » Sun Jun 05, 2011 9:20 am

cans wrote: a&b together) x=1/2 ; y=3 a&b satisfied. 2x is not multiple of y.
x=y=2. a and b satisfied. 2x is multiple of y
Thus insufficient
IMO E

Hi,
You should have used some other value for x to answer this. I am sure you can plug in many other values of x.
As y is a multiple of x, we should consider x integer. So, x=1/2 cannot be used.

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