GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 26 Apr 2019, 01:02

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.

Close

Request Expert Reply

Confirm Cancel

If there are more than two numbers in a certain list, is eac

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Manager
Manager
avatar
Joined: 27 Oct 2009
Posts: 117
Location: Montreal
Schools: Harvard, Yale, HEC
If there are more than two numbers in a certain list, is eac  [#permalink]

Show Tags

New post 06 Jan 2011, 14:56
5
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (01:05) correct 44% (01:02) wrong based on 105 sessions

HideShow timer Statistics

If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0?

(1) The product of any two numbers in the list is equal to 0
(2) The sum of any two numbers in the list is equal to 0

Attachments

Test 1 R4 Q3B.jpg
Test 1 R4 Q3B.jpg [ 79.34 KiB | Viewed 3197 times ]

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54544
Re: Product or Sum with 0  [#permalink]

Show Tags

New post 06 Jan 2011, 15:10
1
If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0?

Note that we are told that there are more than 2 numbers in the list.

(1) The product of any two numbers in the list is equal to 0 --> it certainly possible all numbers to equal to 0 but it's also possible one number to be different from 0 and all other numbers to equal to 0 (in this case the product of ANY two numbers in the list will also be equal to 0). Not sufficient.

(2) The sum of any two numbers in the list is equal to 0 --> as there are more than 2 numbers in the list then all numbers must equal to 0 (if we were not told that there are more than 2 numbers in the list then it would be possible to have a list like {-1, 1} but as there are more than 2 numbers then in order the sum of ANY two numbers in the list to be equal to 0 all numbers must equal to zero). Sufficient.

Answer: B.
_________________
Intern
Intern
avatar
B
Joined: 27 Dec 2012
Posts: 31
If there are more than two numbers in certain list  [#permalink]

Show Tags

New post 28 Apr 2015, 07:32
If there are more than two numbers in certain list, is each of the numbers in the list equal to 0?
1). The product of any two numbers in the list equal to zero
2). The sum of any two numbers in the list equal to 0.

Spoiler: :: OA
B
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54544
Re: If there are more than two numbers in a certain list, is eac  [#permalink]

Show Tags

New post 28 Apr 2015, 07:35
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13981
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If there are more than two numbers in a certain list, is eac  [#permalink]

Show Tags

New post 28 Apr 2015, 20:26
Hi All,

When dealing with questions that talk about groups of unknown numbers, it often helps to come up with some examples that fit the limited information that you have. In that way, you can TEST VALUES by considering what the group of numbers COULD contain.

Here, we're told that the group of numbers consists of MORE than 2 numbers (so 3 or more numbers). We're asked if EACH of the numbers is 0. This is a YES/NO question.

Fact 1: The product of any two numbers in the list is equal to zero

Since the product of ANY number and 0 is 0, this means that the list COULD contain a non-0 number....In the second option, choosing any 2 numbers WILL result in a product that = 0.

IF the group of numbers is....
{0, 0, 0} then the answer to the question is YES
{0, 0, 1] then the answer to the question is NO
Fact 1 is INSUFFICIENT

Fact 2: The sum of any two numbers in the list equal to 0.

Since we're dealing with MORE than 2 numbers, this Fact provides a specific 'restriction' - we CAN'T have ANY non-0 numbers because then would could end up with a sum that is NOT 0.

IF...
{0, 0, 0} then the answer to the question is YES

IF....
{-1, 1, 1} then we could end up with (1) + (1) = 2, which does NOT fit the given Fact. Thus, this example is NOT possible and neither is any other example that could lead to a Non-0 sum. By extension, that means that EVERY number in the group MUST be 0.
Fact 2 is SUFFICIENT

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/
Director
Director
avatar
S
Joined: 09 Jun 2010
Posts: 788
Re: If there are more than two numbers in a certain list, is eac  [#permalink]

Show Tags

New post 15 May 2015, 01:46
I missed this question

very simple, but enough to kiss us
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 10644
Re: If there are more than two numbers in a certain list, is eac  [#permalink]

Show Tags

New post 20 Mar 2019, 01:17
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
Re: If there are more than two numbers in a certain list, is eac   [#permalink] 20 Mar 2019, 01:17
Display posts from previous: Sort by

If there are more than two numbers in a certain list, is eac

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.