Last visit was: 25 Jul 2024, 08:38 It is currently 25 Jul 2024, 08:38
Toolkit
GMAT Club Daily Prep
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

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.

# If x, y and z are positive integers such that x+y+z=7, what is the gre

SORT BY:
Tags:
Show Tags
Hide Tags
Manager
Joined: 24 Feb 2020
Posts: 119
Own Kudos [?]: 569 [3]
Given Kudos: 118
Location: Italy
WE:Analyst (Investment Banking)
Manager
Joined: 01 Jun 2019
Posts: 64
Own Kudos [?]: 71 [1]
Given Kudos: 15
VP
Joined: 18 Dec 2017
Posts: 1161
Own Kudos [?]: 1048 [0]
Given Kudos: 421
Location: United States (KS)
GMAT 1: 600 Q46 V27
Tutor
Joined: 17 Sep 2014
Posts: 1245
Own Kudos [?]: 974 [0]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink]
Ravixxx wrote:
If x, y and z are positive integers such that $$x+y+z=7$$, what is the greatest possible value of $$x+y^{z}$$?

(A) 28
(B) 35
(C) 42
(D) 49
(E) 56

We would like to maximize the exponent portion as they grow faster. So let's start with x = 1 to have y + z = 6, then $$y^z$$ can be selected from $$2^4, 3^3, 4^2$$ and $$3^3$$ would have the greatest value. Therefore $$1 + 3^3 = 28$$ is the maximum value. We want also see under the condition of $$y + z = 6$$, is it usually best to split y and z for the maximum value.

Ans: A
Non-Human User
Joined: 09 Sep 2013
Posts: 34091
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink]
Moderator:
Math Expert
94614 posts