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

 It is currently 23 Oct 2019, 08:35

### 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

# Which of the following could be the sum of three consecutive integers?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58465
Which of the following could be the sum of three consecutive integers?  [#permalink]

### Show Tags

15 Jan 2018, 08:32
00:00

Difficulty:

5% (low)

Question Stats:

90% (01:02) correct 10% (01:17) wrong based on 57 sessions

### HideShow timer Statistics

Which of the following could be the sum of three consecutive integers?

(A) 29
(B) 46
(C) 57
(D) 92
(E) 100

_________________
Director
Joined: 06 Jan 2015
Posts: 689
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: Which of the following could be the sum of three consecutive integers?  [#permalink]

### Show Tags

15 Jan 2018, 08:39
Bunuel wrote:
Which of the following could be the sum of three consecutive integers?

(A) 29
(B) 46
(C) 57
(D) 92
(E) 100

Let the three consecutive integers be x-1, x, x+1

the sum of three consecutive integers = x-1+x+x+1=3n

Here ans should be multiple of 3

Hence C
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
examPAL Representative
Joined: 07 Dec 2017
Posts: 1153
Re: Which of the following could be the sum of three consecutive integers?  [#permalink]

### Show Tags

15 Jan 2018, 08:41
Bunuel wrote:
Which of the following could be the sum of three consecutive integers?

(A) 29
(B) 46
(C) 57
(D) 92
(E) 100

As we can easily create an expression, we'll jsut do it.
This is a Precise approach.

Writing our 3 integers as n, n+1 and n+2, their sum is 3n+3.
So our answer must be divisible by 3.
To test if our numbers are divisble by 3, we'll see if their digits sum to 3.
A. 2 + 9 = 11. Not divisible by 3.
B. 4 + 6 = 10. Not divisible by 3.
C. 5 + 7 = 12. Divisible by 3!

_________________
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4779
Location: India
GPA: 3.5
Re: Which of the following could be the sum of three consecutive integers?  [#permalink]

### Show Tags

15 Jan 2018, 09:22
Bunuel wrote:
Which of the following could be the sum of three consecutive integers?

(A) 29
(B) 46
(C) 57
(D) 92
(E) 100

Sum of three consecutive Integers will be

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

Result will be Odd when x = Even &
Result will be Even when x = Odd

Check the options,

(A) If 3x + 3 = 29 ( Not Possible )
(B) If 3x +3 = 46 ( Not Possible )
(C) If 3x +3 = 57 ( Possible x = 18 )

_________________
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: Which of the following could be the sum of three consecutive integers?   [#permalink] 15 Jan 2018, 09:22
Display posts from previous: Sort by