y ≠ 0. What is the value of x/y?

This topic has expert replies
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

y ≠ 0. What is the value of x/y?

1) x^2-6xy+9y^2=0
2) |x-3|+|y-1|=0

User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

by Max@Math Revolution » Wed Apr 24, 2019 12:17 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

Note: Even though C is most likely to be an answer since we have two variables, D is likely to be the answer by Tip 1) because conditions 1) and 2) provide the same information.

Condition 1)
(x^2-6xy+9y^2)=0
=> (x-3y)^2 = 0
=> x -3y = 0
=> x = 3y
=> x/y = 3
Thus, condition 1) is sufficient.

Condition 2)
|x-3|+|y-1|=0
=> |x-3|+|y-1|=0
=> x=3 and y=1
So, x/y = 3/1 =3.
Thus, condition 2) is sufficient.

Therefore, D is the answer.
Answer: D