NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 07:23 It is currently 25 Apr 2024, 07:23
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
G
Ravixxx
Manager
Manager
Joined: 24 Feb 2020
Posts: 119
Own Kudos [?]: 538 [3]
Given Kudos: 118
Location: Italy
WE:Analyst (Investment Banking)
Send PM
If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink] New post   29 May 2020, 10:11
3
Bookmarks
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

84% (01:56) correct 16% (02:06) wrong based on 116 sessions
Hide Show timer Statistics
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
ShowHide Answer
Official Answer
A
User avatar
S
karan12345
Manager
Manager
Joined: 01 Jun 2019
Posts: 66
Own Kudos [?]: 70 [1]
Given Kudos: 15
Send PM
Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink] New post   29 May 2020, 12:59
1
Bookmarks
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


Values satisfying x,y and z (positive integers) are
1,1,5
1,2,4
1,3,3
2,2,3

We get maximum value when x = 1, y=3 and z =3, i.e \(x+y^{z}\) = 28
Hence, OA is A
User avatar
L
TheNightKing
VP
VP
Joined: 18 Dec 2017
Posts: 1170
Own Kudos [?]: 991 [0]
Given Kudos: 421
Location: United States (KS)
GMAT 1: 600 Q46 V27
Send PM
Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink] New post   30 May 2020, 08:32
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


Exponents will always result bigger values. Each of x, y and z is at least 1. So we have 4 to distribute in two variables. The best case here is to make them equal.

3^3+1=27+1=28

If you go lower you get 2^4 or 4^2 both do not result in more than 27. Hence A.
User avatar
G
TestPrepUnlimited
Tutor
Joined: 17 Sep 2014
Posts: 1251
Own Kudos [?]: 938 [0]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Send PM
Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink] New post   30 May 2020, 10:38
Expert Reply
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
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32675
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink] New post   20 Oct 2022, 06:07
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.
GMAT Club Bot
gmatclubot
Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink]
20 Oct 2022, 06:07
Moderators:
Bunuel
Math Expert
92912 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions