It is currently 16 Jan 2019, 22:28

### 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

# The sum of x distinct integers

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Intern
Joined: 15 Sep 2017
Posts: 34
Followers: 0

Kudos [?]: 15 [0], given: 2

The sum of x distinct integers [#permalink]  12 Sep 2018, 22:42
00:00

Question Stats:

75% (01:46) correct 25% (00:45) wrong based on 4 sessions
The sum of x distinct integers greater than zero is less than 75.What is the greatest possible value of x?

A) 8

B) 9

C) 10

D) 11

E) 12
[Reveal] Spoiler: OA
Director
Joined: 20 Apr 2016
Posts: 783
Followers: 7

Kudos [?]: 551 [1] , given: 100

Re: The sum of x distinct integers [#permalink]  13 Sep 2018, 19:22
1
KUDOS
AchyuthReddy wrote:
The sum of x distinct integers greater than zero is less than 75.What is the greatest possible value of x?

A) 8

B) 9

C) 10

D) 11

E) 12

Sum of n distint numbers is given by $$\frac{n(n + 1)}{2}$$

so,
$$\frac{n(n + 1)}{2}$$ < 75

or n(n + 1) < 150

Solving we have n = 11.5 and -12.5 (we cannot have negative value)

so n < 11.5

so the value should be 11 i.e. option D
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Intern
Joined: 07 Sep 2018
Posts: 29
Followers: 0

Kudos [?]: 1 [0], given: 5

Re: The sum of x distinct integers [#permalink]  28 Sep 2018, 00:52
pranab01 wrote:
AchyuthReddy wrote:
The sum of x distinct integers greater than zero is less than 75.What is the greatest possible value of x?

A) 8

B) 9

C) 10

D) 11

E) 12

Sum of n distint numbers is given by $$\frac{n(n + 1)}{2}$$

so,
$$\frac{n(n + 1)}{2}$$ < 75

or n(n + 1) < 150

Solving we have n = 11.5 and -12.5 (we cannot have negative value)

so n < 11.5

so the value should be 11 i.e. option D

if n<11.5 so option a,b,c,d all are less then 11.5. why only d is correct answer choose??
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4854
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 97

Kudos [?]: 1712 [0], given: 397

Re: The sum of x distinct integers [#permalink]  28 Sep 2018, 03:40
Expert's post
shivankkhanna wrote:

if n<11.5 so option a,b,c,d all are less then 11.5. why only d is correct answer choose??

Because it says greatest possible value of x and 11 would be the greatest among the 4.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: The sum of x distinct integers   [#permalink] 28 Sep 2018, 03:40
Display posts from previous: Sort by

# The sum of x distinct integers

 Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.