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

It is currently 18 Dec 2018, 21:34

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

The number 571+572+573 can be expressed as the products of 3

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

Hide Tags

Intern
Intern
avatar
Joined: 25 Nov 2012
Posts: 6
The number 571+572+573 can be expressed as the products of 3  [#permalink]

Show Tags

New post Updated on: 25 Mar 2014, 01:08
1
7
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:50) correct 21% (02:18) wrong based on 185 sessions

HideShow timer Statistics

The number 571+572+573 can be expressed as the products of 3 consecutive integers. What is the sum of these 3 consecutive integers?

A. 32
B. 33
C. 34
D. 35
E. 36

Originally posted by tinashine20 on 26 Nov 2012, 04:03.
Last edited by Bunuel on 25 Mar 2014, 01:08, edited 1 time in total.
Added the OA.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51285
Re: The number 571+572+573 cab be expressed  [#permalink]

Show Tags

New post 26 Nov 2012, 04:19
4
4
tinashine20 wrote:
The number 571+572+573 can be expressed as the products of 3 consecutive integers. What is the sum of these 3 consecutive integers?

A. 32
B. 33
C. 34
D. 35
E. 36


571+572+573 = 3*572 = 3*(2^2*11*13) = 11*12*13 --> 11+12+13 = 36.

Answer: E.

P.S. Please provide OA's for the questions.
_________________

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

General Discussion
Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 427
Concentration: Marketing, Finance
GPA: 3.23
GMAT ToolKit User
Re: The number 571+572+573 can be expressed as the products of 3  [#permalink]

Show Tags

New post 19 Dec 2012, 23:37
1
1
tinashine20 wrote:
The number 571+572+573 can be expressed as the products of 3 consecutive integers. What is the sum of these 3 consecutive integers?

A. 32
B. 33
C. 34
D. 35
E. 36


\(=571+572+573=1716=(13)(11)(2)(2)(3)\)

after seeing 11 and 13, I knew the third should be 12 without calculating rem. factors.

\(=11+12+13= 36\)

Answer: E
_________________

Impossible is nothing to God.

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1825
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: The number 571+572+573 can be expressed as the products of 3  [#permalink]

Show Tags

New post 25 Mar 2014, 00:46
3
Addition of any 3 consecutive numbers is always divisible by 3

So, options A, C , D are ruled out


Now focus on options 33 & 36

It can be either

10, 11, 12 (Gives zero at the end after multiplication; ignore this series)

or

11, 12, 13 (Matches fine)

Answer = E
_________________

Kindly press "+1 Kudos" to appreciate :)

Manager
Manager
avatar
Joined: 07 Dec 2009
Posts: 92
GMAT Date: 12-03-2014
GMAT ToolKit User Premium Member
Re: The number 571+572+573 can be expressed as the products of 3  [#permalink]

Show Tags

New post 24 Dec 2014, 05:33
571+572+573 = 1716 = 2*2*3*11*13 = 12*11*13

11+12+13 = 36
Manager
Manager
avatar
Joined: 13 Sep 2014
Posts: 87
WE: Engineering (Consulting)
Re: The number 571+572+573 can be expressed as the products of 3  [#permalink]

Show Tags

New post 24 Dec 2014, 23:05
571 + 572 + 573 can be written as
572 -1 + 572 + 572 + 1 = 3*572 = 3 * 4 * 11 * 13 = 11 * 12 * 13...
Ans. E
PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
Re: The product of three consecutive integers is equal to 571+572+573.  [#permalink]

Show Tags

New post 19 Sep 2017, 23:27
petrified17 wrote:
:roll: The product of three consecutive integers is equal to 571+572+573.
What is the sum of thoseconsecutive integers?

A) 32 B) 33 C) 34 D) 35 E) 36


\(571+572+573 = 1716\)

Now, \(1716 = 11*12*13\)

So \(11+12+13=36\)

Option \(E\)
Intern
Intern
avatar
Joined: 16 Mar 2017
Posts: 13
Re: The product of three consecutive integers is equal to 571+572+573.  [#permalink]

Show Tags

New post 19 Sep 2017, 23:29
niks18 wrote:
petrified17 wrote:
:roll: The product of three consecutive integers is equal to 571+572+573.
What is the sum of thoseconsecutive integers?

A) 32 B) 33 C) 34 D) 35 E) 36


\(571+572+573 = 1716\)

Now, \(1716 = 11*12*13\)

So \(11+12+13=36\)

Option \(E\)


how did you derive 11*12*13 from 1716?
PS Forum Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
GMAT ToolKit User Premium Member Reviews Badge
Re: The product of three consecutive integers is equal to 571+572+573.  [#permalink]

Show Tags

New post 19 Sep 2017, 23:42
1
petrified17 wrote:
niks18 wrote:
petrified17 wrote:
:roll: The product of three consecutive integers is equal to 571+572+573.
What is the sum of thoseconsecutive integers?

A) 32 B) 33 C) 34 D) 35 E) 36


\(571+572+573 = 1716\)

Now, \(1716 = 11*12*13\)

So \(11+12+13=36\)

Option \(E\)


how did you derive 11*12*13 from 1716?


Hi petrified17

Factorize 1716, you will get 2*2*3*11*13. so it is evident that the three consecutive numbers has to be 11, 12 & 13
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8690
Location: Pune, India
Re: The number 571+572+573 can be expressed as the products of 3  [#permalink]

Show Tags

New post 20 Sep 2017, 02:01
Another method is to note that the sum of these three will end in 6.

If product of 3 consecutive integers ends in 6, the units digits of integers would be either 1, 2, 3 or 6, 7, 8.

The units digit of sum of the units digits 1, 2, 3 would be 6 giving only possible answer 36.
The units digit of sum of the units digits 6, 7, 8 would be 1 which is not there in the options.

Posted from my mobile device
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

Intern
Intern
avatar
Joined: 02 Dec 2018
Posts: 2
The number 571+572+573 can be expressed as the products of 3  [#permalink]

Show Tags

New post 03 Dec 2018, 21:23
tinashine20 wrote:
The number 571+572+573 can be expressed as the products of 3 consecutive integers. What is the sum of these 3 consecutive integers?

A. 32
B. 33
C. 34
D. 35
E. 36


Another approach:

Sum of 3 consecutive integers is 3n + 3.

Subtracting 3 from each of the answer choices, we can eliminate A, C, D as they will not be divisible by 3. We are left with B and E.

B) 33 = 3n + 3 => n = 10
E) 36 = 3n + 3 => n = 11

Since the sum of 571, 572 and 573 gives a unit digit of 6, n cannot be 10 so we can eliminate answer choice B.

We are left with answer choice E.
GMAT Club Bot
The number 571+572+573 can be expressed as the products of 3 &nbs [#permalink] 03 Dec 2018, 21:23
Display posts from previous: Sort by

The number 571+572+573 can be expressed as the products of 3

  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®.