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 2212:30 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 1612:00 PM EDT
-11:59 PM EDT
You’re first to know: Save $200 on GMAT prep starting tomorrow, 4/13. Get 6 official practice tests and study with real questions. Be ready to save!
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 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.
26 Feb 2015, 06:55
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
45% (02:05) correct
55%
(02:14)
wrong
based on 278
sessions
History
Date
Time
Result
Not Attempted Yet
A, B, P, and Q are four positive numbers. Does AQ = BP?
(1) \(\sqrt{A^2+B^2}=\sqrt{P^2+Q^2}\)
(2) In the x-y plane, the line through (A, B) and (P, Q) goes through the origin.
Kudos for a correct solution.
(1) \(\sqrt{A^2+B^2}=\sqrt{P^2+Q^2}\)
(2) In the x-y plane, the line through (A, B) and (P, Q) goes through the origin.
Kudos for a correct solution.
02 Mar 2015, 07:43
Kudos
Bookmarks
Bunuel
MAGOOSH OFFICIAL SOLUTION:
Big geometry idea #1: every point in the x-y plane is the vertex of a unique little right triangle with legs parallel to the axes, with a second vertex on the x-axis and the third vertex at the origin. The length of the vertical leg is the y-coordinate, and the length of the horizontal leg is the x-coordinate.
Attachment:
neither_algebraic_nor_numeric2.jpg [ 8.31 KiB | Viewed 5141 times ]
That one fact has several enormous implications. Notice, the distance from the point (x,y) to the origin is the hypotenuse, so we could find that distance with the Pythagorean Theorem.
\(distance=\sqrt{x^2+y^2}\)
This should look familiar. That’s exactly the form we have for points (A, B) and (P, Q) in statement #1. The statement:
\(\sqrt{A^2+B^2}=\sqrt{P^2+Q^2}\)
is entirely equivalent to the statement that (A, B) and (P, Q) are equal distances from the origin. In other words, if we made a circle with center at the origin, we know both points would lie on the same circle.
Attachment:
neither_algebraic_nor_numeric5.jpg [ 18.83 KiB | Viewed 5133 times ]
Well, how does this help us answer the question: Does AQ = BP? At least in the diagram as it is currently drawn, A and Q are the “big” legs and P and B are the “small” legs, and (big)*(big) ≠ (small)*(small). For this example, clearly AQ ≠ BP — a “no” answer to the prompt. But, if A = P and B = Q, the two points would be at the same place. Statement #1 would still be satisfied, and the answer to the prompt would then be “yes.” Statement #1 is consistent with both a “yes” answer and “no” answer to the prompt, so by itself it is insufficient.
Now, forget about Statement #1 and focus exclusively on Statement #2. We are told the line through (A, B) and (P, Q) goes through the origin, like this:
Attachment:
neither_algebraic_nor_numeric6.jpg [ 14.43 KiB | Viewed 5094 times ]
Big geometry idea #2: Two triangles of the same shape and same angles but different sizes are called similar. Similar triangles have proportional sides!! That is one of the deepest and most powerful ideas in all of geometry, and it has staggering implications for problem-solving on the GMAT.
Because the two right triangles are obvious similar, we can set up a proportion among the four sides of interest:
A/B =P/Q
Now, cross-multiply:
AQ = PB
Voila! It turns out: the prompt question is a proportionality question in disguise. (will you remember that trick on the GMAT?) Statement #2 allows us to answer the prompt with a definitive “Yes!”, so it is sufficient.
Answer = B.
General Discussion
26 Feb 2015, 08:42
Kudos
Bookmarks
1) lets say A B are same as P and Q >> the statement holds and AQ=PB, however lets say we have 15,20 and 7 24 the statement holds however AQ is not equal to PB. Insufficient.
2) line passing through origin has equation of form y=m*x >>y/x=m if the line lie on line they follow this equations A/B=P/Q >> sufficient.
I think answer is B
2) line passing through origin has equation of form y=m*x >>y/x=m if the line lie on line they follow this equations A/B=P/Q >> sufficient.
I think answer is B
