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.

For a limited time, let us review and provide feedback on two GRE AWA essays for $60 instead of $70. Don’t let an average or low GRE AWA score hold back your application.

Magoosh is excited to offer you a free GRE practice test with video answers and explanations. If you’re thinking about taking the GRE or want to see how effective your GRE test prep has been, pinpoint your strengths and weaknesses with this quiz!

A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

Now we can say that \(x < x+1\). So rewriting \(\frac{x}{x+1} < 1\) . Hence Quantity A is always less than 1.

Now we can say that \(x > x-1\). So rewriting \(\frac{x}{x-1} > 1\) . Multiplying -1 to the numerator or denominator \(\frac{-x}{1-x} > 1\). Hence Quantity B is always greater than 1.

So combining these two Quantity A < 1 < Quantity B. Hence option B is correct. _________________

Sandy If you found this post useful, please let me know by pressing the Kudos Button

First recognize that we can rewrite quantity B by factoring out a -1 from the numerator and denominator. That is: -x = (-1)(x) and 1-x = -1(-1 + x) = -1(x - 1) So, -x/(1-x) = (-1)(x)/(-1)(x - 1) = x/(x - 1)

So we get: Quantity A: x/(x + 1) Quantity B: x/(x - 1)

Now let's find a common denominator. To do so, we'll take Quantity A and multiply numerator and denominator by (x - 1) And we'll take Quantity B and multiply numerator and denominator by (x + 1)

When we do this, we get: Quantity A: (x² - x)/(x² - 1) Quantity B: (x² + x)/(x² - 1)

Next, since x > 1, we know that x² > 1, which means x² - 1 is POSITIVE As such, we can multiply both quantities by x² - 1 to get: Quantity A: x² - x Quantity B: x² + x

Now it's pretty easy from here. Subtract x² from both quantities to get: Quantity A: -x Quantity B: x

Add x to both quantities to get: Quantity A: 0 Quantity B: 2x

Since x is POSITIVE, 2x must be POSITIVE, which means the correct answer is B

Cheers, Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Dayemails

A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

We can rewrite (-x)/(1-x) in a "nicer" way. Given: (-x)/(1-x) Factor -1 from top and bottom to get: (-1)(x)/(-1)(-1 + x) Rewrite part in red as follows: (-1)(x)/(-1)(x - 1) The -1's cancel out to get: x/(x - 1) In other words, (-x)/(1-x) = x/(x - 1)

We have: Quantity A: x/ x + 1) Quantity B: x/(x - 1)

Since x > 1, we know that x is POSITIVE So, we can safely divide both quantities by x to get: Quantity A: 1/(x + 1) Quantity B: 1/(x - 1)

Also, since x > 1, we know that (x - 1) is POSITIVE So, we can safely multiply both quantities by (x - 1) to get: Quantity A: (x - 1)/(x + 1) Quantity B: 1

At this point, we might already see that 1 must be greater than (x - 1)/(x + 1) However, let's keep going with our strategy....

Since x > 1, we know that (x + 1) is POSITIVE So, we can safely multiply both quantities by (x + 1) to get: Quantity A: (x - 1) Quantity B: (x + 1)

Subtract x from both quantities to get: Quantity A: -1 Quantity B: 1

Answer: B

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Dayemails

In such questions, plugin is not a good strategy. Always simplify it first as much as you can, then go to see which Quantity is greater. Here's how you should do:

Quantity A: x/(x+1) Quantity B: -x/(1-x)

We can write Quantity B as: x/(x-1)

As we know x is positive and greater than 1, so we can cancel out x on both sides of the Quantity. (Remember that Quantitative comparison has rule similar to inequality, so if we divide both sides by any positive number, inequality will not change;.

Thus, we'll get

Quantity A: 1/(x+1) Quantity B: 1/(x-1)

Now, multiplying both sides by (x+1)(x-1), we'll get

Quantity A: (x-1) Quantity B: (x+1)

Thus, Quantity B > Quantity A

So, Choice B is Correct.
_________________

Persistence >>>>>>> Success

Don't say thanks, just give KUDOS. 1 kudos = 1000 Thanks

correct: B x is a positive integer, so x+1 is more than x, and x divided by x+1 is something less than 1 we can write -x/ 1-x as x / x-1 by multiplying both the numerator and the denominator by -1. As x is a positive integer, x-1 is less than x and x divided by a thing less than x is something more than 1. So B is bigger than A. _________________

X/X+1 ? -X/1-X As we know x>1 So, B both A nd B will always be +ve Re write B as X/X-1 now both the numerators are equal. W just have to compare denominator now As X-1< X+1(We know that X>1, so X can not be negative or 1) Hence B > A