Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options.
31 May 2022, 01:31
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
33% (01:12) correct
67%
(02:28)
wrong
based on 18
sessions
History
Date
Time
Result
Not Attempted Yet
How many noncongruent integer-sided triangles with positive area and perimeter less than 15 are neither equilateral, isosceles, nor right triangles?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Are You Up For the Challenge: 700 Level Questions
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Are You Up For the Challenge: 700 Level Questions
Let the three sides be a, b & c. As the triangles cannot be equilateral nor isosceles \(a<b<c\) and their sum must be less than 15. One rule for triangles that is helpful here is that the sum of any two sides must be greater than the third.
Using this one can find triplets that add up to less than 15, and where any two of the numbers summed will yield a number greater than the third:
\(2, 3, 4\)
\(2, 4, 5\)
\(2, 5, 6\)
\(3, 4, 5\)
\(3, 4, 6\)
\(3, 5, 6\)
6 in total. However, as no right-angle triangles are allowed, one cannot include \(3, 4, 5\) as it is a special right-angle triangle.
Answer C, 5.
Using this one can find triplets that add up to less than 15, and where any two of the numbers summed will yield a number greater than the third:
\(2, 3, 4\)
\(2, 4, 5\)
\(2, 5, 6\)
\(3, 4, 5\)
\(3, 4, 6\)
\(3, 5, 6\)
6 in total. However, as no right-angle triangles are allowed, one cannot include \(3, 4, 5\) as it is a special right-angle triangle.
Answer C, 5.
02 Jun 2022, 03:57
Kudos
Bookmarks
Nidzo
The answer will be 4, not 5.
3-4-7 is not a feasible combination since it violates the property of a triangle. Sum of 2 sides should be greater than the 3rd side. Since 3+4 = 7 which is not > 7, this is not possible.
The answer will be 4, not 5.
3-4-7 is not a feasible combination since it violates the property of a triangle. Sum of 2 sides should be greater than the 3rd side. Since 3+4 = 7 which is not > 7, this is not possible.
