Forum Home > GMAT > Quantitative > Problem Solving (PS)
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.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
18 Sep 2019, 00:51
Kudos
Bookmarks
B
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:
71% (02:31) correct
29%
(02:07)
wrong
based on 38
sessions
History
Date
Time
Result
Not Attempted Yet
If a rectangular floor tile has a minimum area of 46 square inches and a maximum perimeter of 29 inches, and if its length and width can both be expressed as different whole numbers of inches, what is the length, in inches, of the longer side of the floor tile?
A. 6
B. 8
C.12
D.16
E. 24
A. 6
B. 8
C.12
D.16
E. 24
Source: McGraw-Hill's GMAT (1-27)
24 Sep 2019, 11:33
Kudos
Bookmarks
SajjadAhmad
If a rectangular floor tile has a minimum area of 46 square inches and a maximum perimeter of 29 inches, and if its length and width can both be expressed as different whole numbers of inches, what is the length, in inches, of the longer side of the floor tile?
A. 6
B. 8
C.12
D.16
E. 24
A. 6
B. 8
C.12
D.16
E. 24
Source: McGraw-Hill's GMAT (1-27)
We can let L = the length of the tile and W = the width of the tile and create the following inequalities.
LW ≥ 46
and
2(L + W) ≤ 29
Simplifying the second inequality, we have L + W ≤ 14.5. Since L and W are whole numbers, we see that if L = 7, then W ≤ 7. Since L and W are different whole numbers, then W can’t equal 7, so it is actually no more than 6. However, in that case the area of the tile will be no more than 7 x 6 = 42. However, we are given that the area of the tile is at least 46. Therefore, L can’t be 7.
If L = 8, then W ≤ 6. Now if W = 6, then we have the area of the tile as 8 x 6 = 48, which is greater than 46. So the length of the tile could be 8.
Answer: B
Moderator:
