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

 It is currently 26 Jun 2019, 03:35

### 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

# The sides of a triangle have lengths 7.5, 11, and x. If x is an intege

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55802
The sides of a triangle have lengths 7.5, 11, and x. If x is an intege  [#permalink]

### Show Tags

29 Nov 2018, 00:37
00:00

Difficulty:

15% (low)

Question Stats:

91% (00:43) correct 9% (00:40) wrong based on 27 sessions

### HideShow timer Statistics

The sides of a triangle have lengths 7.5, 11, and x. If x is an integer, what is the least possible value of x ?

A. 1
B. 2
C. 3
D. 4
E. 5

_________________
Director
Joined: 18 Jul 2018
Posts: 953
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
The sides of a triangle have lengths 7.5, 11, and x. If x is an intege  [#permalink]

### Show Tags

29 Nov 2018, 01:15
The third side of the triangle x should more than the difference of the other two sides and less than the sum of the other two sides.

$$11-7.5 < x < 11+7.5$$

$$3.5 < x < 18.5$$

The Least possible value of x is 4.

_________________
Press +1 Kudos If my post helps!
CEO
Joined: 18 Aug 2017
Posts: 3936
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The sides of a triangle have lengths 7.5, 11, and x. If x is an intege  [#permalink]

### Show Tags

29 Nov 2018, 02:44
Bunuel wrote:
The sides of a triangle have lengths 7.5, 11, and x. If x is an integer, what is the least possible value of x ?

A. 1
B. 2
C. 3
D. 4
E. 5

Sum of two small sides has to be greater than 3rd side , so 7.5+x>11 solve for x we get x=3.5 , least value would be 4 option D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Re: The sides of a triangle have lengths 7.5, 11, and x. If x is an intege   [#permalink] 29 Nov 2018, 02:44
Display posts from previous: Sort by