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 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
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 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 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.
sritamasia
Updated on: 28 Nov 2021, 03:07
Originally posted by sritamasia on 27 Nov 2021, 15:49.
Last edited by Bunuel on 28 Nov 2021, 03:07, edited 3 times in total.
Last edited by Bunuel on 28 Nov 2021, 03:07, edited 3 times in total.
Renamed the topic and edited the question.
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (01:51) correct
38%
(02:01)
wrong
based on 48
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure below, find \(\angle QPR\)?
(1) \(AB || CD\)
(2) \(\angle CRP = \angle PRQ\) and \(\angle AQP = \angle PQR\)
Attachment:
trian.jpg [ 6.82 KiB | Viewed 1491 times ]
28 Nov 2021, 02:48
Kudos
Bookmarks
We need to find the exact value for angle QPR = ?
S1: just knowing that 2 lines are parallel doesn’t help us get exact values. The triangle formed by QPR could move around in all kinds of directions.
Not sufficient
S2: we are not given any values - it’s not possible to find a unique value
Together
Since AB and CD are parallel, line QR becomes a Transversal line intersecting the 2 parallel lines
This gives us certain unique relationships among the angles. One of those is that the “same side” interior angles are Supplementary, or they SUM to 180 degrees.
This means:
Angle <AQR + Angle < CRQ = 180 degrees
We are told that the 2 angles at point R are equal —- call each angle X so that the entire Angle <CRQ = 2X
We are also told that the 2 angles at point Q are equal —— call each angle Z so that the entire Angle <AQR = 2Z
Substitute into the equation above
2Z + 2X = 180
Z + X = 90
Together, Z and X give you 2 of the interior angles of Triangle QPR
Thus
<QPR + Z + X = 180
<QPR + 90 = 180
<QPR = 90
C together sufficient
Of course you don’t have to do the whole calculation once you know you have enough information to find the angle
Posted from my mobile device
S1: just knowing that 2 lines are parallel doesn’t help us get exact values. The triangle formed by QPR could move around in all kinds of directions.
Not sufficient
S2: we are not given any values - it’s not possible to find a unique value
Together
Since AB and CD are parallel, line QR becomes a Transversal line intersecting the 2 parallel lines
This gives us certain unique relationships among the angles. One of those is that the “same side” interior angles are Supplementary, or they SUM to 180 degrees.
This means:
Angle <AQR + Angle < CRQ = 180 degrees
We are told that the 2 angles at point R are equal —- call each angle X so that the entire Angle <CRQ = 2X
We are also told that the 2 angles at point Q are equal —— call each angle Z so that the entire Angle <AQR = 2Z
Substitute into the equation above
2Z + 2X = 180
Z + X = 90
Together, Z and X give you 2 of the interior angles of Triangle QPR
Thus
<QPR + Z + X = 180
<QPR + 90 = 180
<QPR = 90
C together sufficient
Of course you don’t have to do the whole calculation once you know you have enough information to find the angle
Posted from my mobile device
Moderators:
