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 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 Dec 2013, 20:15
Kudos
Bookmarks
I saw these 2 questions in one of the handouts from a GMAT prep center. Cannot find the source anymore and for some reason was not able to solve these quickly and get the right answer. Sorry, do not have the answer choices.
1. An inverted isosceles cone is filled with water up to a height such that the length between the water level and the lip of the cone is 'h'. diameter of the lip is 5 and the total height of the cone is 3 and the diameter of the water filled portion is 3. Find'h'
This is a DS question. I remember getting stumped on the first option itself
2. The product of the digits of a 3 digit number 'n' is 54. Find the number 'n'
(1) n > 950
Could somebody explain how n could be greater than 950?
There is possibility that the answer choices mentioned/questions could be wrong
1. An inverted isosceles cone is filled with water up to a height such that the length between the water level and the lip of the cone is 'h'. diameter of the lip is 5 and the total height of the cone is 3 and the diameter of the water filled portion is 3. Find'h'
This is a DS question. I remember getting stumped on the first option itself
2. The product of the digits of a 3 digit number 'n' is 54. Find the number 'n'
(1) n > 950
Could somebody explain how n could be greater than 950?
There is possibility that the answer choices mentioned/questions could be wrong
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
26 Dec 2013, 20:23
Kudos
Bookmarks
My solution for the 1st question -
Considering a 2D image, Area of the the top trapezium + area of water filled triangle = area of the entire object (here an isosceles triangle)
[1/2(5+3)h] + [1/2(3)(3-h)] = [1/2(5)(3)]
=> 4h + 4.5 - 1.5h = 7.5 => 2.5h = 12 => h = 24/5
Considering a 2D image, Area of the the top trapezium + area of water filled triangle = area of the entire object (here an isosceles triangle)
[1/2(5+3)h] + [1/2(3)(3-h)] = [1/2(5)(3)]
=> 4h + 4.5 - 1.5h = 7.5 => 2.5h = 12 => h = 24/5
08 Jan 2014, 21:25
Kudos
Bookmarks
Hi sapp,
your inverted cone is, from a 2D perspective, an isoceles triangle with a base of 5, the water fills a portion of this triangle to have a base of 3.
Based on triangle proportionality, the height of the water is therefore 3/5ths of the height of the total triangle (which is 3) so the h, which is really the remaining height, is the remaining 2/5th's of the height of the triangle, or
2/5*3 = 6/5
for your second question, even though it doesn't look possible, don't panic, break the problem down: the product of 3 digits is 54. in product questions it helps to break down the number into primes: 54 = 2 * 3 * 3 * 3
now it's a 3 digit number bigger than 950, so it's CERTAIN that the hundreds digit has to be 9, which is great cuz it takes care of two of the 3's in 54
now we have a 2 and a 3 left over, but it seems kinda tough, since 923 and 932 are both below 950, so we need to pull a trick out of our sleeve: 1
see even if the number was 92311111111 the product would still be 54, because when you're taking the product (the multiplication) the 1 is basically a neutral value, so use it!
in this case, although we can't make 923 or 932, if we put 2 and 3 together, we get a 6, and 961 fits the bill quite nicely since its big enough, and contains all those pesky primes we've been trying to put together!
(916 woulda worked too, but it's smaller than 950...)
hope that helps!
your inverted cone is, from a 2D perspective, an isoceles triangle with a base of 5, the water fills a portion of this triangle to have a base of 3.
Based on triangle proportionality, the height of the water is therefore 3/5ths of the height of the total triangle (which is 3) so the h, which is really the remaining height, is the remaining 2/5th's of the height of the triangle, or
2/5*3 = 6/5
for your second question, even though it doesn't look possible, don't panic, break the problem down: the product of 3 digits is 54. in product questions it helps to break down the number into primes: 54 = 2 * 3 * 3 * 3
now it's a 3 digit number bigger than 950, so it's CERTAIN that the hundreds digit has to be 9, which is great cuz it takes care of two of the 3's in 54
now we have a 2 and a 3 left over, but it seems kinda tough, since 923 and 932 are both below 950, so we need to pull a trick out of our sleeve: 1
see even if the number was 92311111111 the product would still be 54, because when you're taking the product (the multiplication) the 1 is basically a neutral value, so use it!
in this case, although we can't make 923 or 932, if we put 2 and 3 together, we get a 6, and 961 fits the bill quite nicely since its big enough, and contains all those pesky primes we've been trying to put together!
(916 woulda worked too, but it's smaller than 950...)
hope that helps!
