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.
Join my MyGuru for Free GMAT Math Refresher is the best workshop to learn about the basics and the advanced strategies required to get a 700+ GMAT score.
Working in collaboration with examPAL we will provide you with a unique online learning experience which will help you reach that higher score. Start your free 7 day trial today.
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
Answers: B, C, and D
RELATED VIDEO
_________________
Brent Hanneson – Creator of greenlighttestprep.com If you enjoy my solutions, you'll like my GRE prep course. Sign up for GRE Question of the Dayemails
Re: If x, y, and z are positive numbers such that 3x < 2y < 4z, [#permalink]
14 Aug 2018, 15:05
2
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.
close
41% (01:14) correct
