OG 1 < x < y < z

Expert replies

Previous Topic Next Topic

AbeNeedsAnswers: Master | Next Rank: 500 Posts; Posts: 394; Joined: Sun Jul 02, 2017 10:59 amFollowed by: 5 members; Thanked: 1 times

by AbeNeedsAnswers » Wed Aug 16, 2017 6:21 pm

Timer

00:00

Answers

Stats

Difficulty—

If 1 < x < y < z, which of the following has the greatest value?

A) z(x+1)
B) z(y+1)
C) x(y+z)
D) y(x+z)
E) z(x+y)

E

Like this post

Source: Beat The GMAT — Problem Solving | Wed Aug 16, 2017 6:21 pm

GMAT/MBA Expert

[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Thu Aug 17, 2017 10:40 am

Hi AbeNeedsAnswers,

We're told that 1 < X < Y < Z. We're asked which of the answers has the GREATEST value. This question can be solved by TESTing VALUES.

IF...
X = 2, Y = 3, Z = 4

Answer A: 4(3) = 12
Answer B: 4(4) = 16
Answer C: 2(7) = 14
Answer D: 3(6) = 18
Answer E: 4(5) = 20

Final Answer: E

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

Like this post

Matt@VeritasPrep: GMAT Instructor; Posts: 2630; Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members; Location: East Bay all the way; Thanked: 625 times; GMAT Score:780

by Matt@VeritasPrep » Fri Aug 18, 2017 1:58 pm

We could also do algebra. Here's how to compare D vs E, and from this you can extrapolate how to do the others:

y * (x + z) vs z * (x + y)

yx + yz vs xz + yz

subtract yz from both sides:

yx vs xz

divide both sides by x:

y vs z

z is bigger, so the right side is bigger, so E > D.

Save $100 on any VP online course!

Like this post

Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Mon Aug 21, 2017 3:35 pm

AbeNeedsAnswers wrote:If 1 < x < y < z, which of the following has the greatest value?

A) z(x+1)
B) z(y+1)
C) x(y+z)
D) y(x+z)
E) z(x+y)

E

We can let x = 2, y = 3, and z = 4, and we have:

A) z(x+1)

4(3) = 12

B) z(y+1)

4(4) = 16

C) x(y+z)

2(7) = 14

D) y(x+z)

3(6) = 18

E) z(x+y)

4(5) = 20

Answer: E

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Like this post

ca7ch22: Junior | Next Rank: 30 Posts; Posts: 10; Joined: Sat Oct 27, 2018 10:35 am

by ca7ch22 » Sat Mar 09, 2019 7:16 am

[1] Assign Test Values

Must follow rule: 1 < x < y < y

x = 2
y = 3
z = 4

[2] Plug In & Calculate

A. z(x + 1) -> 4(2 + 1) = 12
B. z(y + 1) -> 4( 3 + 1) = 16
C. x(y + z) -> 2(3 + 4) = 14
D. y(x + z) -> 3(2 + 4) = 18
E. z(x + y) -> 4(2 + 3) = 20

Answer: E

Like this post

Bijaya Krushna Mohapatra: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Tue Jul 23, 2019 8:52 pm

Re: OG 1 < x < y < z

by Bijaya Krushna Mohapatra » Fri Jan 17, 2020 8:20 pm

x=2,y=3,z=4 , which satisfies the condition 1<x<y<z

If we use this values in the answer options
A. z(x + 1) = 4(3) = 12
B. z(y + 1) = 4(4) = 16
C. x(y + z) = 2(7) = 14
D. y(x + z) = 3(6) = 18
E. z(x + y) = 4(5) = 20 So max value we are getting is E.

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review