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

 It is currently 12 Dec 2018, 18:11

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

# N is the sum of five consecutive integers, and when these five integer

Author Message
TAGS:

### Hide Tags

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
N is the sum of five consecutive integers, and when these five integer  [#permalink]

### Show Tags

14 Aug 2018, 00:18
2
00:00

Difficulty:

45% (medium)

Question Stats:

63% (00:47) correct 37% (00:51) wrong based on 38 sessions

### HideShow timer Statistics

N is the sum of five consecutive integers, and when these five integers are arranged in ascending order, the sum of first three integers is 0. What is the product of last three integers, when these five integers are arranged in descending order, from highest to lowest?

A. -1
B. 0
C. 1
D. 2
E. 6
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: N is the sum of five consecutive integers, and when these five integer  [#permalink]

### Show Tags

14 Aug 2018, 02:07
amanvermagmat wrote:
N is the sum of five consecutive integers, and when these five integers are arranged in ascending order, the sum of first three integers is 0. What is the product of last three integers, when these five integers are arranged in descending order, from highest to lowest?

A. -1
B. 0
C. 1
D. 2
E. 6

Let the 5 consecutive integers be x-2,x-1,x,x+1, and x+2 , in ascending order.

Given, x-2+x-1+x=0
Or, 3x-3=0
Or, x=1

So, the five consecutive integers are -1,0,1,2, and 3.

Arranging them in descending order: 3,2,1,0, and -1.

Now, product of last 3 integers=1*0*(-1)=0.

Ans. (B)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3325
Location: India
GPA: 3.12
N is the sum of five consecutive integers, and when these five integer  [#permalink]

### Show Tags

14 Aug 2018, 02:13
amanvermagmat wrote:
N is the sum of five consecutive integers, and when these five integers are arranged in ascending order, the sum of first three integers is 0. What is the product of last three integers, when these five integers are arranged in descending order, from highest to lowest?

A. -1
B. 0
C. 1
D. 2
E. 6

Given: The sum of the first 3 integers is zero.

The 3 integers are 0 and 2 integers which are equal and have an opposite magnitude(-1 and 1)

Since we are talking about 5 such consecutive integers, the numbers in the sequence are -1 0 1 2 3.

Therefore, the product of the last three integers(when the integers are arranged in descending order) are -1*0*1 or 0(Option B)
_________________

You've got what it takes, but it will take everything you've got

Director
Joined: 13 Mar 2017
Posts: 664
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: N is the sum of five consecutive integers, and when these five integer  [#permalink]

### Show Tags

14 Aug 2018, 02:29
amanvermagmat wrote:
N is the sum of five consecutive integers, and when these five integers are arranged in ascending order, the sum of first three integers is 0. What is the product of last three integers, when these five integers are arranged in descending order, from highest to lowest?

A. -1
B. 0
C. 1
D. 2
E. 6

Since there are 5 consecutive integers and sum of first three integers is 0 when arranged in ascending order. Hence, 1st three integers must be -1,0,1
So, five integers in ascending order are -1,0,1,2,3
Five integers in descending order are 3,2,1,0,-1

Product of last 3 integers = -1*0*1 = 0

_________________

CAT 2017 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4274
Location: India
GPA: 3.5
Re: N is the sum of five consecutive integers, and when these five integer  [#permalink]

### Show Tags

14 Aug 2018, 06:16
amanvermagmat wrote:
N is the sum of five consecutive integers, and when these five integers are arranged in ascending order, the sum of first three integers is 0. What is the product of last three integers, when these five integers are arranged in descending order, from highest to lowest?

A. -1
B. 0
C. 1
D. 2
E. 6

$$(a - 1) + a + ( a + 1 ) = 0$$

So, $$3a = 0$$

Or, $$a = 0$$

N = { ( a - 1 ), a , ( a + 1) , ( a + 2) , ( a + 3)}

Sum of first $$3$$ term is $$0$$ and $$a = 0$$ so, Sum of the numbers are $$-1 , 0 , 1 , 2 , 3$$

Now, the product of last three integers, when these five integers are arranged in descending order, from highest to lowest is -1*0*1 = 0 ; Answer must be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: N is the sum of five consecutive integers, and when these five integer &nbs [#permalink] 14 Aug 2018, 06:16
Display posts from previous: Sort by