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

 It is currently 16 Oct 2019, 13:39

### 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

# If the length of 2 sides of a triangle is 7 and 12 units. Which of the

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 25 Dec 2018
Posts: 485
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
If the length of 2 sides of a triangle is 7 and 12 units. Which of the  [#permalink]

### Show Tags

14 Apr 2019, 06:11
1
2
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:06) correct 26% (01:22) wrong based on 38 sessions

### HideShow timer Statistics

If the length of 2 sides of a triangle is 7 and 12 units. Which of the following could be the perimeter of the triangle?

A. 24
B. 28
C. 38
D. 40
E. 42
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1022
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If the length of 2 sides of a triangle is 7 and 12 units. Which of the  [#permalink]

### Show Tags

14 Apr 2019, 10:45
2
In any triangle, The third side should always be greater than the difference between the two sides and less than the sum of the other two sides.

12-7 < x < 19
5 < x < 19

perimeter = 7+12+x = 19+x
Only possible value is 9. 19+9 = 28.
Satisfies the condition.

_________________
Press +1 Kudos If my post helps!
Intern
Joined: 15 Apr 2015
Posts: 3
Re: If the length of 2 sides of a triangle is 7 and 12 units. Which of the  [#permalink]

### Show Tags

15 Apr 2019, 06:08
Chethan92 wrote:
In any triangle, The third side should always be greater than the difference between the two sides and less than the sum of the other two sides.

12-7 < x < 19
5 < x < 19

perimeter = 7+12+x = 19+x
Only possible value is 9. 19+9 = 28.
Satisfies the condition.

How can we say that only 9 could be the possible value. It could be anything between 6-18?
_________________
Thanks,
Bhavana
Intern
Joined: 23 Feb 2018
Posts: 13
Re: If the length of 2 sides of a triangle is 7 and 12 units. Which of the  [#permalink]

### Show Tags

15 Apr 2019, 06:35
1
bhavana31 wrote:
Chethan92 wrote:
In any triangle, The third side should always be greater than the difference between the two sides and less than the sum of the other two sides.

12-7 < x < 19
5 < x < 19

perimeter = 7+12+x = 19+x
Only possible value is 9. 19+9 = 28.
Satisfies the condition.

How can we say that only 9 could be the possible value. It could be anything between 6-18?

Since x can be anything from 6 to 18 we will check with the options.
1st go with the extreme values
let x= 6, so the perimeter will be 7+12+6= 25, so we cross out option A
Next let x = 18, 7+12+18= 37, cross out option C,D,E . hence we are left with option B.
I hope this made it easy for you to understand.
_________________
Patience and hardwork will pay! Have faith in yourself.
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4782
Location: India
GPA: 3.5
Re: If the length of 2 sides of a triangle is 7 and 12 units. Which of the  [#permalink]

### Show Tags

15 Apr 2019, 07:58
1
bhavana31 wrote:
Chethan92 wrote:
In any triangle, The third side should always be greater than the difference between the two sides and less than the sum of the other two sides.

12-7 < x < 19
5 < x < 19

perimeter = 7+12+x = 19+x
Only possible value is 9. 19+9 = 28.
Satisfies the condition.

How can we say that only 9 could be the possible value. It could be anything between 6-18?

Absolutely correct we need to find data within the given range, so the Min and Max possible value of perimeter must be

Min : 12+7+6 = 25
Max : 12+7+18 = 37

Now check the given options, only option (B) falls within the given range, thus our Answer must be (B)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Re: If the length of 2 sides of a triangle is 7 and 12 units. Which of the   [#permalink] 15 Apr 2019, 07:58
Display posts from previous: Sort by