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.

A) x = y If this is true, we can take the given inequality (3x < 2y < 4z) and replace x with y to get: 3y < 2y < 4z Now let's focus on 3y < 2y Subtract 2y from both sides to get: y < 0 Hmmm, this says that y is less than 0, HOWEVER, the question tells us that y is POSITIVE So, it cannot be the case that x = y ELIMINATE A

B) y = z If this is true, we can take the given inequality (3x < 2y < 4z) and replace y with z to get: 3x < 2z < 4z Now let's focus on 2z < 4z This seems to check out. So, let's see if we can find some values that satisfy this answer choice. How about x = 1, y = 3 and z = 3 When we plug those values into the inequality (3x < 2y < 4z) and evaluate, we get: 3 < 6 < 12 (perfect!) So, it is POSSIBLE that y = z KEEP B

C) y > z This is a little trickier. So, let's just see if we can find some values that satisfy this answer choice. How about x = 1, y = 3 and z = 2 When we plug those values into the inequality (3x < 2y < 4z) and evaluate, we get: 3 < 6 < 8 (perfect!) So, it is POSSIBLE that y > z KEEP C

D) x > z This is tricky too. So, let's just see if we can find some values that satisfy this answer choice. How about x = 10, y = 16 and z = 9 When we plug those values into the inequality (3x < 2y < 4z) and evaluate, we get: 30 < 32 < 36 (perfect!) So, it is POSSIBLE that x > z KEEP D

Re: If x, y, and z are positive numbers such that 3x < 2y < 4z, [#permalink]
14 Aug 2018, 15:05

1

This post received KUDOS

B, C and D are the answer. The trick in this question is, the question has asked for Could be true option. Which means in any range of numbers whether the condition satisfies. Had it been a Must be true question, then it would be, in every condition whether any number in range satisfies.

greprepclubot

Re: If x, y, and z are positive numbers such that 3x < 2y < 4z,
[#permalink]
14 Aug 2018, 15:05