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.
20 Jul 2019, 07:35
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
46% (02:02) correct
54%
(01:52)
wrong
based on 65
sessions
History
Date
Time
Result
Not Attempted Yet
Is the surface area of a rectangular carpet larger than 1250 square feet?
(1) The carpet measures fifty feet diagonally.
(2) One side of the carpet measures twenty five feet.
(1) The carpet measures fifty feet diagonally.
(2) One side of the carpet measures twenty five feet.
GMATbuster's Collection
23 Jul 2019, 02:19
Kudos
Bookmarks
This is a question on maximization of a product, and also a “Yes No” type of DS question.
In such questions, the hack is to find out the biggest possible area and see how it compares with the number mentioned in the question data.
From statement I, we know that the diagonal of the rectangle is 50 feet. This rectangle will have the largest possible area when the sides of the rectangle are equal i.e. when the rectangle is a square.
Applying Pythagoras theorem, we can say that the sides of the square are 25√2.
So, the area of the square is 1250 square feet. Remember, this is supposed to be the largest possible rectangle with a diagonal of 50 feet.
If the largest possible area is 1250 square feet, the area of the carpet is NOT larger than 1250 square feet, we can answer the question with a definite NO.
Statement I alone is sufficient. Possible answer options are A or D. Answer options B, C and E can be eliminated.
From statement II, we know that one side of the carpet measures twenty- five feet. We do not know if this side is the length or the breadth.
If one of the sides is 25 and the other side is 100, the area of the carpet is 2500 square feet.
If one the sides is 25 and the other side is 50, the area of the carpet is 1250 square feet.
In the first case, the answer will be a YES and in the second, the answer will be a NO.
Statement II alone is insufficient. Answer option D can be eliminated.
The correct answer option is A.
It is important to understand that this is a question on maximization and minimization and not only on Geometry.
If a + b = constant, a*b = maximum when a = b.
If a*b = constant, a + b = minimum when a = b.
These are the two concepts which are being tested in this question, albeit using Geometrical quantities.
For a given perimeter, the area of a polygon will be maximum when all the sides are equal.
A corollary of this is ‘For a given hypotenuse, the area of a right angled triangle will be maximum when the height and the base are equal’, which is what we have used in solving this question.
Also, for a given area, the perimeter of a polygon will be minimum when all the sides are equal.
Hope this helps!
In such questions, the hack is to find out the biggest possible area and see how it compares with the number mentioned in the question data.
From statement I, we know that the diagonal of the rectangle is 50 feet. This rectangle will have the largest possible area when the sides of the rectangle are equal i.e. when the rectangle is a square.
Applying Pythagoras theorem, we can say that the sides of the square are 25√2.
So, the area of the square is 1250 square feet. Remember, this is supposed to be the largest possible rectangle with a diagonal of 50 feet.
If the largest possible area is 1250 square feet, the area of the carpet is NOT larger than 1250 square feet, we can answer the question with a definite NO.
Statement I alone is sufficient. Possible answer options are A or D. Answer options B, C and E can be eliminated.
From statement II, we know that one side of the carpet measures twenty- five feet. We do not know if this side is the length or the breadth.
If one of the sides is 25 and the other side is 100, the area of the carpet is 2500 square feet.
If one the sides is 25 and the other side is 50, the area of the carpet is 1250 square feet.
In the first case, the answer will be a YES and in the second, the answer will be a NO.
Statement II alone is insufficient. Answer option D can be eliminated.
The correct answer option is A.
It is important to understand that this is a question on maximization and minimization and not only on Geometry.
If a + b = constant, a*b = maximum when a = b.
If a*b = constant, a + b = minimum when a = b.
These are the two concepts which are being tested in this question, albeit using Geometrical quantities.
For a given perimeter, the area of a polygon will be maximum when all the sides are equal.
A corollary of this is ‘For a given hypotenuse, the area of a right angled triangle will be maximum when the height and the base are equal’, which is what we have used in solving this question.
Also, for a given area, the perimeter of a polygon will be minimum when all the sides are equal.
Hope this helps!
16 Oct 2023, 09:07
Kudos
Bookmarks
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
