• e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider

Is the area of the triangle ABC more than 12 sq. units?

This topic has 1 expert reply and 0 member replies

Is the area of the triangle ABC more than 12 sq. units?

Post Tue Dec 05, 2017 9:23 am
Is the area of the triangle ABC more than 12 sq. units?

(1) The GCD of the sides AB and AC is 2.
(2) The LCM of the sides AB and AC is 12.

The OA is C.

I would like to knwo how to solve this DS question. Any expert can help me here? Please.

  • +1 Upvote Post
  • Quote
  • Flag
Post Wed Dec 06, 2017 12:13 am
Vincen wrote:
Is the area of the triangle ABC more than 12 sq. units?

(1) The GCD of the sides AB and AC is 2.
(2) The LCM of the sides AB and AC is 12.

The OA is C.

I would like to knwo how to solve this DS question. Any expert can help me here? Please.
(1) The GCD of the sides AB and AC is 2.

Case 1: If AB = 2 and AC = 2 and ABC is a rightangled triangle, then the area of the triangle ABC = (1/2)*AB*AC= 1/2*2*2 = 2 < 12.
Case 2: If AB = 3 and AC = 10 and ABC is a rightangled triangle, then the area of the triangle ABC = (1/2)*AB*AC= 1/2*6*10 = 30 > 12. No unique answer. Insufficient.

(2) The LCM of the sides AB and AC is 12.

Case 1: If AB = 3 and AC = 4 and ABC is a rightangled triangle, then the area of the triangle ABC = (1/2)*AB*AC= 1/2*3*4 = 6 < 12.
Case 2: If AB = 3 and AC = 12 and ABC is a rightangled triangle, then the area of the triangle ABC = (1/2)*AB*AC= 1/2*6*12 = 36 > 12. No unique answer. Insufficient.

(1) and (2) together

Since GCD = 2 and LCM = 12, we have AB*AC = 2*12 = 24.

The maximum possible area of the triangle ABC = (1/2)*AB*AC= 1/2*24 = 12 (Not greater than 12). Sufficient.

The correct answer: C

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | New Delhi | Seoul | Cairo | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

  • +1 Upvote Post
  • Quote
  • Flag

Best Conversation Starters

1 Roland2rule 125 topics
2 lheiannie07 110 topics
3 ardz24 60 topics
4 LUANDATO 55 topics
5 swerve 51 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

151 posts
2 image description GMATGuruNY

The Princeton Review Teacher

135 posts
3 image description Scott@TargetTestPrep

Target Test Prep

129 posts
4 image description Rich.C@EMPOWERgma...

EMPOWERgmat

111 posts
5 image description DavidG@VeritasPrep

Veritas Prep

83 posts
See More Top Beat The GMAT Experts