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

It is currently 11 Dec 2019, 22:18

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

What is the sum of 3 consecutive integers?

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
avatar
G
Joined: 04 Sep 2017
Posts: 291
What is the sum of 3 consecutive integers?  [#permalink]

Show Tags

New post 21 Sep 2019, 15:36
1
5
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (01:49) correct 39% (01:54) wrong based on 120 sessions

HideShow timer Statistics

What is the sum of 3 consecutive integers?

(1) The sum of the 3 integers is less than the greatest of the 3 integers.
(2) Of the 3 integers, the ratio of the least to the greatest is 3.



DS51402.01

_________________
Kudos
Director
Director
User avatar
V
Status: Manager
Joined: 27 Oct 2018
Posts: 755
Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
GMAT ToolKit User
Re: What is the sum of 3 consecutive integers?  [#permalink]

Show Tags

New post 21 Sep 2019, 17:21
1
let the three numbers be \((x-1),x,(x+1)\)

from statement (1), \((x-1) + x + (x+1) < (x+1)\)
so \(3x < x+1\) ,
\(2x < 1\)
\(x< \frac{1}{2}\) ---. so no definite value for x (insufficient)

from statement (2), \(\frac{x-1}{x+1} = 3\), so \(x = -2\) and the three numbers are \(-1,-2,-3\) and the sum = \(-6\) --> sufficient
Senior Manager
Senior Manager
avatar
G
Joined: 04 Apr 2015
Posts: 254
GMAT 1: 650 Q49 V31
GPA: 3.59
Reviews Badge CAT Tests
Re: What is the sum of 3 consecutive integers?  [#permalink]

Show Tags

New post 01 Dec 2019, 08:36
What is the sum of 3 consecutive integers?

we need a unique set to find the sum

(1) The sum of the 3 integers is less than the greatest of the 3 integers.: Insufficient
as we need sum is less than greatest: therefore the series is of negative numbers -3,-2,-1 or -4,-3,-2 but no unique set to find the sum hence insufficient

(2) Of the 3 integers, the ratio of the least to the greatest is 3.
ratio of least/greatest = 3 therefore >1 only possible if it is a negative series : ( positive series will always give ratio <1) . the statement also provides ratio of 3 therefore -3,-2,-1 is only possible set : hence sufficient

(B)
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4134
Location: Canada
Re: What is the sum of 3 consecutive integers?  [#permalink]

Show Tags

New post 09 Dec 2019, 11:53
Top Contributor
gmatt1476 wrote:
What is the sum of 3 consecutive integers?

(1) The sum of the 3 integers is less than the greatest of the 3 integers.
(2) Of the 3 integers, the ratio of the least to the greatest is 3.


Target question: What is the sum of 3 consecutive integers?

Statement 1: The sum of the 3 integers is less than the greatest of the 3 integers.
There are several sets of three consecutive integers that satisfy statement 1. Here are two:
Case a: The numbers are {-1, 0, 1}. In this case the sum is 0, and 0 is less than the biggest number in the set (1). The answer to the target question is the sum of the integers is 0
Case b: The numbers are {-2, -1, 0}. In this case the sum is -3, and -3 is less than the biggest number in the set (0). The answer to the target question is the sum of the integers is -3
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Of the 3 integers, the ratio of the least to the greatest is 3.
Let x = the smallest integer
So, x + 1 = the middle integer
And, x + 2 = the greatest integer

From statement to we can write: (x+2)/(x) = 3
Multiply both sides of the equation by x to get: x + 2 = 3x
Subtract x from both sides to get: 2 = 2x
Solve: x = 1
Since x is the smallest integer, we now know that the three consecutive integers are {1, 2, 3}
The answer to the target question is the sum of the integers = 1 + 2 + 3 = 6
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
Manager
Manager
avatar
G
Joined: 28 Feb 2014
Posts: 214
Location: India
Concentration: General Management, International Business
GPA: 3.97
WE: Engineering (Education)
Re: What is the sum of 3 consecutive integers?  [#permalink]

Show Tags

New post 09 Dec 2019, 21:42
gmatt1476 wrote:
What is the sum of 3 consecutive integers?

(1) The sum of the 3 integers is less than the greatest of the 3 integers.
(2) Of the 3 integers, the ratio of the least to the greatest is 3.



DS51402.01

Three integers are a, a+1, a+2
Sum is 3*(a+1)

(1) a can be any non positive integer. Insufficient

(2) a / (a+2) = 3
a = -3. Sufficient

B is correct.
GMAT Club Bot
Re: What is the sum of 3 consecutive integers?   [#permalink] 09 Dec 2019, 21:42
Display posts from previous: Sort by

What is the sum of 3 consecutive integers?

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne