A triangular park needs to be wired along its boundary. : Problem Solving (PS)

My Profile Logout

Test's Subscription Expires:

My Follow Feed Kudos My Error Log

Messages and Replies

Settings Mark All Read

See All

Applicant Notifications

Settings Mark All Read

See All

Global notifications

Settings Mark All Read

See All

A triangular park needs to be wired along its boundary.

Sort by Date

Sort by Kudos

Author

Message

TAGS:

Hide Tags

Manager

Joined: 25 Dec 2018

Posts: 91

Location: India

Schools: ISB '20, IE Sept18 Intake, Cass '21, AGSM '21, SMU '20, EDHEC Sept 2019 Intake

GMAT 1: 490 Q47 V13

GPA: 2.86

A triangular park needs to be wired along its boundary. [#permalink]

Show Tags

11 Jan 2019, 21:49

00:00

Difficulty:

35% (medium)

Question Stats:

60% (01:10) correct

40% (01:16) wrong

based on 15 sessions

HideShow timer Statistics

A triangular park needs to be wired along its boundary. Which of the following can be the total length of the wire required if lengths of the two sides of the park are 4m and 7m?

I. 16m
II. 21m
III. 23m

A. I only
B. II only
C. I& II only
D. II& III only
E. I,II& III

Spoiler: OA

Intern

Joined: 15 Dec 2018

Posts: 12

Re: A triangular park needs to be wired along its boundary. [#permalink]

Show Tags

11 Jan 2019, 23:32

C

If perimeter is 23, the third side will be 12 which is against the below rule

The sum of any 2 sides in a triangle has to be greater than the third side.

Posted from my mobile device

Manager

Joined: 09 Mar 2018

Posts: 234

Location: India

Schools: NUS '21, Desautels '21, DeGroote'21

Re: A triangular park needs to be wired along its boundary. [#permalink]

Show Tags

11 Jan 2019, 23:44

akurathi12 wrote:

Sum of 2 sides > than the third side, and the difference of 2 sides should be < third side

I. 16m, third side = 5, 11 > 5 & 4 < 5, satisfies
II. 21m, third side = 10, 11 > 10 & 4 < 10, satisfies
III. 23m, third side = 12, 11 > 12(Not possible) & 4 < 12, Doesn't satisfy

Answer C.
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Math Expert

Joined: 02 Aug 2009

Posts: 7212

Re: A triangular park needs to be wired along its boundary. [#permalink]

Show Tags

11 Jan 2019, 23:53

akurathi12 wrote:

In such questions, find the extremes

(I) Minimum perimeter..
for this find the LEAST possible dimension of the third side..
THIRD side will be GREATER than the DIFFERENCE of the other two sides.. THIRD side > (7-4), so Perimeter >7+4+(7-4).....P>14

(I) Maximum perimeter..
for this find the GREATEST possible dimension of the third side..
THIRD side will be SMALLER than the SUM of the other two sides.. THIRD side < (7+4), so Perimeter <7+4+(7+4).....P<22

so \(14<perimeter<22\)

I and II are in the range but II is not..

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor