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

 It is currently 16 Feb 2019, 09:48

### 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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT Algebra Webinar

February 17, 2019

February 17, 2019

07:00 AM PST

09:00 AM PST

Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
• ### Free GMAT Strategy Webinar

February 16, 2019

February 16, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# x is a positive integer less than 20. What is the value of x?

Author Message
TAGS:

### Hide Tags

Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 323
x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

Updated on: 03 Sep 2014, 17:09
1
9
00:00

Difficulty:

85% (hard)

Question Stats:

44% (01:43) correct 56% (01:30) wrong based on 170 sessions

### HideShow timer Statistics

x is a positive integer less than 20. What is the value of x?

(1) x is the sum of two consecutive integers.
(2) x is the sum of five consecutive integers.

Originally posted by AmoyV on 03 Sep 2014, 15:26.
Last edited by Bunuel on 03 Sep 2014, 17:09, edited 1 time in total.
Edited the question
Math Expert
Joined: 02 Sep 2009
Posts: 52902
Re: x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

03 Sep 2014, 17:15
x is a positive integer less than 20. What is the value of x?

(1) x is the sum of two consecutive integers. Well, this one is clearly insufficient. For example, x could be 0 + 1 = 1 or 1 + 2 = 3. Not sufficient.

(2) x is the sum of five consecutive integers. Also, insufficient. For example, x could be 0 + 1 + 2 + 3 + 4 = 10 or 1 + 2 + 3 + 4 +5 = 15. Not sufficient.

(1)+(2) The same here: x could be 1 + 2 + 3 + 4 + 5 = 7 + 8 = 15 or -1 + 0 + 1 + 2 + 3 = 2 + 3 = 5. Not sufficient.

_________________
Manager
Joined: 27 Aug 2014
Posts: 138
Concentration: Finance, Strategy
GPA: 3.9
WE: Analyst (Energy and Utilities)
Re: x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

08 Dec 2014, 13:38
small question:
does'nt statement 1 and 2 contradict each other in this question? isit possible in Gmat?
Math Expert
Joined: 02 Sep 2009
Posts: 52902
Re: x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

08 Dec 2014, 13:48
1
santorasantu wrote:
small question:
does'nt statement 1 and 2 contradict each other in this question? isit possible in Gmat?

On the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.

But , for this question, the statements, do not contradict. x could be 15, so the sum of 5 consecutive integers (1 + 2 + 3 + 4 + 5 = 15) and the sum of 2 consecutive integers (7 + 8 = 15). It can also be 5, again 5 is the the sum of 5 consecutive integers (-1 + 0 + 1 + 2 + 3 = 5) as well as the sum of 2 consecutive integers (2 + 3 = 5).

Hope it's clear.
_________________
Manager
Joined: 14 Oct 2014
Posts: 66
Location: United States
GMAT 1: 500 Q36 V23
Re: x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

08 Dec 2014, 14:11
1
Does the statement x is a positive integer mean that x can be 0?
Math Expert
Joined: 02 Sep 2009
Posts: 52902
x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

08 Dec 2014, 14:22
viktorija wrote:
Does the statement x is a positive integer mean that x can be 0?

0 is neither positive nor negative integer, so x cannot be 0.
_________________
Manager
Joined: 27 Aug 2014
Posts: 138
Concentration: Finance, Strategy
GPA: 3.9
WE: Analyst (Energy and Utilities)
Re: x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

09 Dec 2014, 04:19
Bunuel wrote:
santorasantu wrote:
small question:
does'nt statement 1 and 2 contradict each other in this question? isit possible in Gmat?

On the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.

But , for this question, the statements, do not contradict. x could be 15, so the sum of 5 consecutive integers (1 + 2 + 3 + 4 + 5 = 15) and the sum of 2 consecutive integers (7 + 8 = 15). It can also be 5, again 5 is the the sum of 5 consecutive integers (-1 + 0 + 1 + 2 + 3 = 5) as well as the sum of 2 consecutive integers (2 + 3 = 5).

Hope it's clear.

Thanks a lot for the clarification and also the explanation
Manager
Joined: 28 Jun 2016
Posts: 207
Concentration: Operations, Entrepreneurship
Re: x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

29 Oct 2016, 13:16
Statement 1:

x can be 1,3,5,7,9,11,13,15,17,19

Insufficient

Statement 2:

x can be 5, 10, 15

Insufficient

Statement 1&2:

x can be 5 or 15.

Insufficient

E

Sent from my iPhone using GMAT Club Forum mobile app
Senior Manager
Joined: 15 Jan 2017
Posts: 353
Re: x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

26 Oct 2017, 00:36
St 1: x is the sum of two consecutive integers --> can be a+2, a+3 or a, a+1. So x will change, as we don't know the order of the consecutive numbers

St 2: X is sum of 5 consecutive integers --> can be a+5, a+6, a+7, a+8, a+9 or a+12, a+13..a+17. Again x will change. we don't know the order of consecutive numbers

1) 2) => no clarity on the value of consecutive numbers. hence E.
Non-Human User
Joined: 09 Sep 2013
Posts: 9835
Re: x is a positive integer less than 20. What is the value of x?  [#permalink]

### Show Tags

05 Feb 2019, 06:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: x is a positive integer less than 20. What is the value of x?   [#permalink] 05 Feb 2019, 06:50
Display posts from previous: Sort by