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Intern Joined: 15 Sep 2017
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The sum of x distinct integers [#permalink] 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: 826
WE: Engineering (Energy and Utilities)
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Re: The sum of x distinct integers [#permalink]
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
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Intern Joined: 07 Sep 2018
Posts: 29
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Kudos [?]: 1 , given: 5

Re: The sum of x distinct integers [#permalink]
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??
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1782 , given: 397

Re: The sum of x distinct integers [#permalink]
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.
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Sandy
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Try our free Online GRE Test Re: The sum of x distinct integers   [#permalink] 28 Sep 2018, 03:40
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