Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

I got E as response. 1=> not sufficient because for {x=-1/2 and y=-1} and {x=1/2 and y=0}, can't answer 2=> not sufficient also by the same way Combining the two we have (1)=> x-y=1/2 and (2)=> x-y>0 So the first implies the second, can't tell.

Is there a way to solve these type of problems algebrically?

we know each statement alone is insuff

To resolve for C and E :

1) x-y=1/2

2) x/y>1

easy way; divide 1) by x

1-(y/x) =1/(2*x) ; left hand side quantity will be positive given the condition 2) and so x will be +ve ; since x/y>1 if x is positive y is also positive and you can click on C for answer.

A) 2x - 2y = 1 This could be simplified into 2(x-y) = 1 (x-y) = 1/2 We are not given any info about the values of x or y, so this by itself is NS

B) x/y > 1 This could be simplified in two ways. If y is positive, then x > y, subtract y from both sides of the inequality and you get x - y > 0 If y is negative, then x < y, subtract y from both sides of the inequality and you get x - y < 0 We aren't given any info on x or y so this by itself is NS

From looking at information A), we could see that x - y is 1/2, which is a positive number. From b) we could see that the first simplified inequality, x - y > 0, is the one we choose. Since y is positive, x must be a larger number than y so we have proof that both x and y are positive. Correct Answer: C.