(x−1)(1−y)=?

This topic has expert replies
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Wed Nov 01, 2017 8:19 pm
swerve wrote:$$(x−1)(1−y)=?$$
$$(1)\ x+y=xy$$
$$(2)\ x−y=0$$

The OA is A.

I don't have clear this DS question. Please, can any expert help me with it? Thanks.
$$(x−1)(1−y)=?$$
$$x−1−xy+y =\ ? ---(1)$$
$$(1)\ x+y=xy$$
$$=> (1)\ x+y-xy = 0 ---(2)$$
Plugging in the value of (2) in (1), we get
$$0 −1 =\ -1 ---(1)$$. Sufficient
$$(2)\ x−y =\ 0$$
=> x = y

It can't help it. Insufficient.

The correct answer: A

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Singapore | Doha | Lausanne | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.