It is currently 19 Oct 2017, 09:49

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If m and n are positive integers and m^2 + n^2 = 40, what is

Author Message
TAGS:

### Hide Tags

Director
Joined: 21 Dec 2009
Posts: 582

Kudos [?]: 831 [0], given: 20

Concentration: Entrepreneurship, Finance
If m and n are positive integers and m^2 + n^2 = 40, what is [#permalink]

### Show Tags

01 Nov 2012, 07:56
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:12) correct 11% (01:46) wrong based on 117 sessions

### HideShow timer Statistics

If m and n are positive integers and m^2 + n^2 = 40, what is the value of m^3 + n^3?

A. 72
B. 224
C. 320
D. 512
E. 1,600

Pls try algebra method...
Of course, plugging nos easily gives 2 and 6(m and n being integers), but i attempted algebra first
and was wasting time.
[Reveal] Spoiler: OA

_________________

KUDOS me if you feel my contribution has helped you.

Last edited by Bunuel on 01 Nov 2012, 08:01, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 831 [0], given: 20

Intern
Joined: 19 Apr 2012
Posts: 26

Kudos [?]: 4 [1], given: 8

Re: If m and n are positive integers and m^2 + n^2 = 40, what is [#permalink]

### Show Tags

01 Nov 2012, 12:16
1
KUDOS
Hey,

i have tried it this way:

You need to integers which squared are equal 40.

1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
Stop. The integers can't be greater than 6 or we will score above 40.

The second integer need to be picked up the same way.
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36

The only pair that matches is 6^2 + 2^2 = 40.

So 6^3 + 2^3 = 224.

Kudos [?]: 4 [1], given: 8

Senior Manager
Joined: 13 Aug 2012
Posts: 458

Kudos [?]: 541 [0], given: 11

Concentration: Marketing, Finance
GPA: 3.23
Re: If m and n are positive integers and m^2 + n^2 = 40, what is [#permalink]

### Show Tags

10 Dec 2012, 23:35
I tried algebraic method. I think it will eat up my life in the test. Haha! Nonetheless, I would like to see how that is done.

I just selected from the possible values of $$m^2$$ and $$n^2$$: $$1,4,9,16,25,36$$ and selected $$2^2$$ and $$6^2$$

$$m^3 + n^3=2^3 + 6^3 = 224$$
_________________

Impossible is nothing to God.

Kudos [?]: 541 [0], given: 11

Intern
Joined: 21 May 2013
Posts: 28

Kudos [?]: 7 [0], given: 8

Location: India
Concentration: Finance, Marketing
GMAT 1: 660 Q49 V32
Re: If m and n are positive integers and m^2 + n^2 = 40, what is [#permalink]

### Show Tags

11 Aug 2013, 04:57
If you try to solve it through algebra you will definitely spend the whole 75 minutes on it alone ..while picking numbers will help you to solve easily..just see which numbers fit as M and N to make the given equation possible...

Kudos [?]: 7 [0], given: 8

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16674

Kudos [?]: 273 [0], given: 0

Re: If m and n are positive integers and m^2 + n^2 = 40, what is [#permalink]

### Show Tags

28 Feb 2017, 09:36
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.
_________________

Kudos [?]: 273 [0], given: 0

Re: If m and n are positive integers and m^2 + n^2 = 40, what is   [#permalink] 28 Feb 2017, 09:36
Display posts from previous: Sort by