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
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Join us live with Elisa Djuhar (Harvard MBA Class of 2023) to understand how to put your best foot forward with your Harvard MBA application. Also, get insights into how Elisa strategically used her 2.5 years of pre-MBA work, and more.
In this session, Jeff Miller (Head of GMAT and GRE Instructions at Target Test Prep) will teach must-know strategies that you would need to attain a perfect quant score (Q51) on the #GMAT.
In EP5 we are covering interview preparation strategies for Chicago Booth school of business. In this session, Mike White, Booth alum & admission consultant at Stratus Admissions, will talk about interview structure at Booth, and more.
In each webinar, we teach game-changing techniques and strategies for solving some of the most high-value GMAT quant questions. In addition, we will provide you with the opportunity to ask questions regarding how to best prepare for the GMAT.
The most confusing topic when it comes to GMAT SC. However, when it is seen from the lens of meaning, it becomes very logical and easy to apply. Attend this webinar and learn how to solve 700 level SC questions correctly & consistently.
Learn how to smartly use numbers to solve 700 level Quant questions with ease within 2 min. In this webinar, we will also help you understand when to pick numbers and when not to.
Reading Comprehension has been added to the Target Test Prep Verbal course. With our full Verbal course, including 1,000+ practice verbal questions and 400+ instructor-led videos, you now have access to everything you need to master GMAT Verbal.
In the figure shown, point O is the center of the semicircle and point
[#permalink]
Updated on: 29 Jun 2021, 05:51
5
Kudos
3
Bookmarks
Expert Reply
Top Contributor
burnttwinky wrote:
In the figure shown, point O is the center of the semicircle and points B, C, D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO ?
(1) The degree measure of angle COD is 60º. (2) The degree measure of angle BCO is 40º.
Target question:What is the degree measure of ∠BAO?
Given: The length of line segment AB is equal to the length of line sement OC
Statement 1: The degree measure of angle COD is 60º So, we have the following:
Since the radii must have equal lengths, we can see that OB = OC
So, ∆ABO is an isosceles triangle.
If we let ∠BAO = x degrees, then we can use the facts that ∆ABO is isosceles and that angles must add to 180º to get the following:
Since angles on a LINE must add to 180º, we know that ∠OBC = 2x
Now, we can use the facts that ∆BCO is isosceles and that the angles must add to 180º to get the following:
Finally, we can see that the 3 angles with blue circles around them are on a line.
So, they must add to 180 degrees. We get: x + (180-4x) + 60 = 180 Simplify: 240 - 3x = 180 Solve to get: x = 20 In other words, ∠BAO = 20º Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: The degree measure of angle BCO is 40º So, we have the following:
Since the radii must have equal lengths, we can see that OB = OC
So, ∆BCO is an isosceles triangle, which means OBC is also 40º
Since angles on a line must add to 180 degrees, ∠ABO = 140º
Finally, since ∆ABO is an isosceles triangle, the other two angles must each be 20º
As we can see, ∠BAO = 20º Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Re: In the figure shown, point O is the center of the semicircle and point
[#permalink]
09 Aug 2017, 23:07
@bunuel Are we not assuming ABC to be a straight line. This is not specified anywhere. If ABC is not a straight line then exterior angle theorem is invalid for triangle ABO
In the figure shown, point O is the center of the semicircle and point
[#permalink]
09 Aug 2017, 23:23
Expert Reply
kshitijrana37 wrote:
Bunuel Are we not assuming ABC to be a straight line. This is not specified anywhere. If ABC is not a straight line then exterior angle theorem is invalid for triangle ABO
Problem Solving Figures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.
Data Sufficiency: Figures: • Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2). • Lines shown as straight are straight, and lines that appear jagged are also straight. • The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. • All figures lie in a plane unless otherwise indicated. _________________
Re: In the figure shown, point O is the center of the semicircle and point
[#permalink]
08 Nov 2019, 13:42
burnttwinky wrote:
In the figure shown, point O is the center of the semicircle and points B, C, D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO ?
(1) The degree measure of angle COD is 60º. (2) The degree measure of angle BCO is 40º.
The attachment Semicirlce.GIF is no longer available
Attachment:
The attachment Untitled.png is no longer available
Refer to Attached Picture: We know that O is the center of the circle; From that statement, we can infer that OB = OC, so their angles are also equal (a°) We know that AB = OB, so their angles are also equal (c°). In the picture, there are 5 angles to refer to (angle a°, b°, c°, d°, and e°). From that, we can infer: c° + b° + e° = 180 a° + a° + b° = 180 c° + c° + d° = 180 a° + d° = 180 a° + a° = e° (exterior angle theory) We have 5 unique equations so if we know one of those values, we can answer the prompt!
(1) The degree measure of angle COD is 60º. Sufficient (2) The degree measure of angle BCO is 40º. Sufficient
Re: In the figure shown, point O is the center of the semicircle and point
[#permalink]
18 Jun 2021, 19:21
This is not fair. We encounter trick questions all the time in GMAT Quant. It has taken consistent practice for a few months to realise that you cannot simply assume a few things - especially in DS. I don't understand why we are assuming ABC to be a straight line. I've read all of Bunuel's replies on the thread, but I am still not convinced that we can assume it to be a straight line.
Re: In the figure shown, point O is the center of the semicircle and point
[#permalink]
18 Jun 2021, 20:29
harshbirajdar wrote:
This is not fair. We encounter trick questions all the time in GMAT Quant. It has taken consistent practice for a few months to realise that you cannot simply assume a few things - especially in DS. I don't understand why we are assuming ABC to be a straight line. I've read all of Bunuel's replies on the thread, but I am still not convinced that we can assume it to be a straight line.
Exactly. 😂 math in GMAT is simply forcing your to accept that.
Re: In the figure shown, point O is the center of the semicircle and point
[#permalink]
19 Jun 2021, 02:54
Expert Reply
wushingling wrote:
harshbirajdar wrote:
This is not fair. We encounter trick questions all the time in GMAT Quant. It has taken consistent practice for a few months to realise that you cannot simply assume a few things - especially in DS. I don't understand why we are assuming ABC to be a straight line. I've read all of Bunuel's replies on the thread, but I am still not convinced that we can assume it to be a straight line.
Exactly. 😂 math in GMAT is simply forcing your to accept that.
Posted from my mobile device
Not sure what is confusing there. Check what does the OG says about the sissue.
Problem Solving Figures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.
Data Sufficiency: Figures: • Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2). • Lines shown as straight are straight, and lines that appear jagged are also straight. • The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. • All figures lie in a plane unless otherwise indicated. _________________
One of the fastest-growing graduate business schools in Southern California, shaping the future by developing leading thinkers who will stand at the forefront of business growth. MBA Landing | School of Business (ucr.edu)