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

It is currently 25 Sep 2018, 22:37

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

M02-23

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49493
M02-23  [#permalink]

Show Tags

New post 16 Sep 2014, 00:18
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (00:32) correct 22% (00:39) wrong based on 167 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49493
Re M02-23  [#permalink]

Show Tags

New post 16 Sep 2014, 00:18
Intern
Intern
avatar
B
Joined: 24 Dec 2017
Posts: 2
Re: M02-23  [#permalink]

Show Tags

New post 02 Jan 2018, 19:18
I don't quite understand this question. Is it necessary to plug the variables into the equation to solve this problem?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49493
Re: M02-23  [#permalink]

Show Tags

New post 02 Jan 2018, 23:18
1
darren1985 wrote:
I don't quite understand this question. Is it necessary to plug the variables into the equation to solve this problem?


If \(x\) and \(n\) are positive integers, is \(n\) a divisor of \(x(x+1)(x+2)\)?

(1) \(n = 3\). The question becomes: is \(x(x+1)(x+2)\) divisible by 3? Now, since \(x(x+1)(x+2)\) is the product of three consecutive integers, then one of them must be divisible by 3, so \(x(x+1)(x+2)\) will be divisible by 3 for any integer value of x. Sufficient.

(2) \(x = 12\). The question becomes: is \(12*13*14\) divisible by n? Without knowing the value of n we cannot answer the question. For example, if n = 1, then the answer would be YES but if n = 17, then the answer would be NO. Not sufficient.

Answer: A.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

SVP
SVP
User avatar
D
Joined: 26 Mar 2013
Posts: 1813
Reviews Badge CAT Tests
Re: M02-23  [#permalink]

Show Tags

New post 03 Jan 2018, 07:44
1
Bunuel wrote:
darren1985 wrote:
I don't quite understand this question. Is it necessary to plug the variables into the equation to solve this problem?


If \(x\) and \(n\) are positive integers, is \(n\) a divisor of \(x(x+1)(x+2)\)?

(1) \(n = 3\). The question becomes: is \(x(x+1)(x+2)\) divisible by 3? Now, since \(x(x+1)(x+2)\) is the product of three consecutive integers, then one of them must be divisible by 3, so \(x(x+1)(x+2)\) will be divisible by 3 for any integer value of x. Sufficient.

(2) \(x = 12\). The question becomes: is \(12*13*14\) divisible by n? Without knowing the value of n we cannot answer the question. For example, if n = 1, then the answer would be YES but if n = 17, then the answer would be NO. Not sufficient.

Answer: A.

Hope it's clear.



Hi darren1985

Statement 1 represents a general rule when dealing with divisor 3 that you should know. Beside the above, you should know the variation for presenting 3 consecutive numbers . It could be:

(x-2)(x-1) x

or

(x-1) x (x+1)
Intern
Intern
avatar
B
Joined: 24 Dec 2017
Posts: 2
Re: M02-23  [#permalink]

Show Tags

New post 03 Jan 2018, 10:59
I understand and thanks for the explanation.
Intern
Intern
avatar
B
Joined: 30 Aug 2017
Posts: 3
CAT Tests
Re: M02-23  [#permalink]

Show Tags

New post 03 Jul 2018, 17:33
Cant X=0 and the consecutive numbers be 0,1 &2. The question says X is a positive integer and hence can be 0.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49493
Re: M02-23  [#permalink]

Show Tags

New post 03 Jul 2018, 20:11
tani24 wrote:
Cant X=0 and the consecutive numbers be 0,1 &2. The question says X is a positive integer and hence can be 0.


ZERO.

1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

Check for more below threads:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread

Hope it helps.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Bot
Re: M02-23 &nbs [#permalink] 03 Jul 2018, 20:11
Display posts from previous: Sort by

M02-23

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

Moderators: chetan2u, Bunuel

Events & Promotions

PREV
NEXT


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®.