It is currently 21 Oct 2017, 09:21

### 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

# Is the sum of 6 integers odd?

Author Message
TAGS:

### Hide Tags

Director
Joined: 03 Sep 2006
Posts: 865

Kudos [?]: 1072 [0], given: 33

Is the sum of 6 integers odd? [#permalink]

### Show Tags

26 Jan 2012, 06:48
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

70% (01:21) correct 30% (01:20) wrong based on 187 sessions

### HideShow timer Statistics

Is the sum of 6 integers odd?

1) The product of four largest integers is odd, and the product of two smallest integers is even

2) the sum of two smallest integers is odd, and the sum of four largest integers is even
[Reveal] Spoiler: OA

Last edited by Mahmud6 on 19 Sep 2017, 09:21, edited 2 times in total.
Replaced 'numbers' by 'integers'

Kudos [?]: 1072 [0], given: 33

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129114 [1], given: 12194

Re: Is the sum of 6 integers odd? [#permalink]

### Show Tags

26 Jan 2012, 07:11
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
LM wrote:
Is the sum of 6 numbers odd?

1) The product of four largest numbers is odd, and the product of two smallest numbers is even

2) the sum of two smallest numbers is odd, and the sum of four largest numbers is even

Is the sum of 6 numbers odd?

(1) The product of four largest numbers is odd, and the product of two smallest numbers is even --> even if we consider all numbers to integers (which is not stated) it's still possible to have:
A. O*O*O*O=Odd and E*E=E --> (O+O+O+O)+(E+E)=Even;
B. O*O*O*O=Odd and E*O=E --> (O+O+O+O)+(E+O)=Odd.

Not sufficient.

(2) The sum of two smallest numbers is odd, and the sum of four largest numbers is even --> {sum of two smallest}=Odd and {sum of four largest}=Even --> {sum of all 6 numbers}={sum of two smallest}+{sum of four largest}=Odd+Even=Odd. Sufficient.

_________________

Kudos [?]: 129114 [1], given: 12194

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129114 [0], given: 12194

Re: Is the sum of 6 integers odd? [#permalink]

### Show Tags

23 May 2013, 05:23
Bumped for review and further discussion.
_________________

Kudos [?]: 129114 [0], given: 12194

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16595

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

Re: Is the sum of 6 integers odd? [#permalink]

### Show Tags

14 Jun 2016, 20:52
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: Is the sum of 6 integers odd?   [#permalink] 14 Jun 2016, 20:52
Display posts from previous: Sort by