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.
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
Apr 2912:30 AM EDT
-01:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
May 0306:30 AM PDT
-08:30 AM PDT
Verbal trouble on GMAT? Fix it NOW! Join Sunita Singhvi for a focused webinar on actionable strategies to boost your Verbal score and take your performance to the next level.
03 May 2020, 10:57
Kudos
Bookmarks
B
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:
57% (01:55) correct
43%
(02:36)
wrong
based on 37
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, M and N are two points on the side PQ and PR of a triangle PQR, respectively such that MNQR is a trapezium and MN:QR = 2:5. What is the ratio of the area of triangle PMN to the area of trapezium MNQR?
A. 4:25
B. 4:21
C. 4:10
D. 4:9
E. 1:2
Are You Up For the Challenge: 700 Level Questions
Attachment:
Untitled.png [ 5.7 KiB | Viewed 18960 times ]
Bunuel
Given: In the figure above, M and N are two points on the side PQ and PR of a triangle PQR, respectively such that MNQR is a trapezium and MN:QR = 2:5.
Asked: What is the ratio of the area of triangle PMN to the area of trapezium MNQR?
Attachment:
Screenshot 2020-05-03 at 11.42.06 PM.png [ 21.27 KiB | Viewed 15555 times ]
Let PLO be perpendicular drawn from P to line QR meeting line QR at O and line MN at L.
If MNQR is a trapezium -> MN & QR are parallel
Since triangles PMN & PQR are similar triangles
MN:QR = PL:PO = 2:5
Ratio of area of triangle PMN to the area of triangle PQR = MN * PL : QR : PO = 2^2 : 5^2 = 4:25
Since area of trapezium MNQR = Area of triangle PQR - Area of triangle PMN
Ratio of the area of triangle PMN to the area of trapezium MNQR = 4:(25-4) = 4: 21
IMO B
firas92
Current Student
Joined: 16 Jan 2019
Last visit: 02 Dec 2024
Posts: 616
Own Kudos:
Given Kudos: 142
Location: India
Concentration: General Management
Schools: Tepper '23 (M$) Foster '23 (D)
GMAT 1: 740 Q50 V40
WE:Sales (Other)
Products:
03 May 2020, 11:12
Kudos
Bookmarks
If MNQR is a trapezium, then MN||QR which means PMN and PQR are similar triangles
By property, if the corresponding sides of two similar triangles are in the ratio \(a:b\), then their areas are in the ratio \(a^2:b^2\)
So the areas of PMN and PQR are in the ratio 4:25 and therefore the area of MNQR and PQR must be in the ratio 21:25
Therefore PMN and MNQR have their areas in the ratio 4:21
Answer is (B)
Posted from my mobile device
By property, if the corresponding sides of two similar triangles are in the ratio \(a:b\), then their areas are in the ratio \(a^2:b^2\)
So the areas of PMN and PQR are in the ratio 4:25 and therefore the area of MNQR and PQR must be in the ratio 21:25
Therefore PMN and MNQR have their areas in the ratio 4:21
Answer is (B)
Posted from my mobile device
