• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If the vertices of a triangle have coordinates (x, 1), tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 0 member replies ### Top Member ## If the vertices of a triangle have coordinates (x, 1), ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Official Guide If the set S consists of five consecutive positive integers, what is the sum of these five integers? (1) The integer 11 is in S, but 10 is not in S. (2) The sum of the even integers in S is 26 The OA is D. Last edited by BTGmoderatorLU on Thu Aug 09, 2018 3:06 pm; edited 1 time in total ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1710 messages Followed by: 28 members Upvotes: 470 BTGmoderatorLU wrote: Source: GMAT Club Tests If the vertices of a triangle have coordinates (x, 1), (5, 1), and (5, y) where x < 5 and y > 1, what is the area of the triangle? (1) x = y. (2) The angle at the vertex (x, 1) is equal to the angle at the vertex (5, y). The OA is C. On a coordinate plane, put the point (5, 1). Since we cannot fix the other two points (x, 1) and (5, y), we can draw the straight line passing through the vertex (5, 1). Somewhere on the line parallel to X-axis the vertex (x, 1) would lie and somewhere on the line parallel to Y-axis the vertex (5, y) would lie. This implies that it is a right-angled triangle. Thus, the area of the triangle = 1/2*(5 - x)*(y - 1) Let's take each statement one by one. (1) x = y. Can't get the value of 1/2*(5 - x)*(y - 1). Insufficient. (2) The angle at the vertex (x, 1) is equal to the angle at the vertex (5, y). => This implies that it is an isosceles right-angled triangle. => (5 - x) = (y - 1) Can't get the value of 1/2*(5 - x)*(y - 1). Insufficient. (1) and (2) together From x = y and (5 - x) = (y - 1), we get that x = y = 2 Thus, the area of the triangle = 1/2*(5 - x)*(y - 1) = 1/2*(5 - 2)*(2 - 1) = 3 unit Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Chennai | GMAT Prep Himayatnagar | GRE Prep Hyderabad | Bangalore GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 04 Dec 2012 Posted: 1996 messages Followed by: 237 members Upvotes: 1443 BTGmoderatorLU wrote: Source: Official Guide If the set S consists of five consecutive positive integers, what is the sum of these five integers? (1) The integer 11 is in S, but 10 is not in S. (2) The sum of the even integers in S is 26 The OA is D. This seems to be a different question than the one Jay has quoted. Did you accidentally change it when editing? _________________ Ceilidh Erickson Manhattan Prep GMAT & GRE instructor EdM in Mind, Brain, and Education Harvard Graduate School of Education Manhattan Prep instructors all have 99th+ percentile scores and expert teaching experience. Sign up for a FREE TRIAL, and learn why we have the highest ratings in the GMAT industry! Free Manhattan Prep online events - The first class of every online Manhattan Prep course is free. Classes start every week. • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

### Top First Responders*

1 Jay@ManhattanReview 67 first replies
2 Brent@GMATPrepNow 53 first replies
3 fskilnik@GMATH 49 first replies
4 GMATGuruNY 32 first replies
5 Rich.C@EMPOWERgma... 29 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 fskilnik@GMATH

GMATH Teacher

107 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

99 posts
3 Max@Math Revolution

Math Revolution

90 posts
4 Jay@ManhattanReview

Manhattan Review

78 posts
5 GMATGuruNY

The Princeton Review Teacher

77 posts
See More Top Beat The GMAT Experts