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

It is currently 25 Jun 2018, 02:47

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If t is the sum of three consecutive positive integers, is t a

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46335
If t is the sum of three consecutive positive integers, is t a [#permalink]

Show Tags

New post 22 Dec 2015, 04:30
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

57% (01:13) correct 43% (01:22) wrong based on 97 sessions

HideShow timer Statistics

Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5940
Re: If t is the sum of three consecutive positive integers, is t a [#permalink]

Show Tags

New post 22 Dec 2015, 04:57
Bunuel wrote:
If t is the sum of three consecutive positive integers, is t a multiple of 24?

(1) The smallest of the 3 integers is even.
(2) t is a multiple of 3.


Hi Bunuel,
although this too can be a question but looking at t as a multiple of 24, I am sure you meant product and not sum of three consecutive positive integers
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


GMAT online Tutor

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46335
Re: If t is the sum of three consecutive positive integers, is t a [#permalink]

Show Tags

New post 22 Dec 2015, 04:58
chetan2u wrote:
Bunuel wrote:
If t is the sum of three consecutive positive integers, is t a multiple of 24?

(1) The smallest of the 3 integers is even.
(2) t is a multiple of 3.


Hi Bunuel,
although this too can be a question but looking at t as a multiple of 24, I am sure you meant product and not sum of three consecutive positive integers


The question in the source says "sum", not "product".
_________________

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

Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5940
Re: If t is the sum of three consecutive positive integers, is t a [#permalink]

Show Tags

New post 22 Dec 2015, 05:08
Bunuel wrote:
If t is the sum of three consecutive positive integers, is t a multiple of 24?

(1) The smallest of the 3 integers is even.
(2) t is a multiple of 3.


Hi,
t is the sum of three consecutive positive integers,...
only one thing is for sure that the sum will be a multiple of 3, since one number will leave a remainder of 0, next 1 and the third one 2...
lets check the statement..
1) The smallest of the 3 integers is even..
this tells us that the integers are even, odd,even..
therefore the sum will be odd...
and no odd number can be a multiple of 24..
so ans to Q is NO and suff...

2) t i sa multiple of 3..
nothing new.. ie is already known.. insuff

ans A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


GMAT online Tutor

Manager
Manager
avatar
Status: tough ... ? Naaahhh !!!!
Joined: 08 Sep 2015
Posts: 64
Location: India
Concentration: Marketing, Strategy
WE: Marketing (Computer Hardware)
GMAT ToolKit User
Re: If t is the sum of three consecutive positive integers, is t a [#permalink]

Show Tags

New post 22 Dec 2015, 08:59
(1) The smallest of the 3 integers is even.
2,3,4...Suffcient
(2) t is a multiple of 3.
1,2,3 or 2,3,4 ....Insuff.

Ans:A
Current Student
avatar
Joined: 18 Sep 2014
Posts: 230
Reviews Badge
Re: If t is the sum of three consecutive positive integers, is t a [#permalink]

Show Tags

New post 23 Dec 2015, 00:59
asethi wrote:
(1) The smallest of the 3 integers is even.
2,3,4...Suffcient
(2) t is a multiple of 3.
1,2,3 or 2,3,4 ....Insuff.

Ans:A

Hi,

I do understand that you have read the question wrong " its the sum of three consecutive integers NOT product"

In any case, the answer will be A because of the following logic:

St (1) says " smallest of the 3 integers is even" that means it must be even,odd,even which gives odd as a result and we know that 24 doesnt give odd as a multiple. Hence A is sufficient.
St (2) says, t is a multiple of 3 which doesnt help. Hence Not sufficient.
_________________

Kindly press the Kudos to appreciate my post !! :-)

SVP
SVP
User avatar
P
Joined: 26 Mar 2013
Posts: 1681
Reviews Badge CAT Tests
Re: If t is the sum of three consecutive positive integers, is t a [#permalink]

Show Tags

New post 20 Mar 2017, 16:55
If t is the sum of three consecutive positive integers, is t a multiple of 24?

Let the three integers x, x+1, x+2

t=x + x+1 + x+2=3x + 3= 3 (x+1)

(1) The smallest of the 3 integers is even.

x= even which means = 3 (even +1) = 3 * odd =odd. Therefore, t can't be multiple of 24 as it can't contain any even factor.

Sufficient

(2) t is a multiple of 3.

From our previous work above, we know the it is already multiple of 3 but no info about x.

Let x = 0.........t = 3 *1 =3 is NOT multiple of 24

Let x= 7........ t= 3 * 8=24 is multiple of 24

Insufficient

Answer: A
Re: If t is the sum of three consecutive positive integers, is t a   [#permalink] 20 Mar 2017, 16:55
Display posts from previous: Sort by

If t is the sum of three consecutive positive integers, is t a

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


cron

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®.