NEW HERE? LEARN MORE
closeclose
Last visit was: 27 Apr 2024, 17:31 It is currently 27 Apr 2024, 17:31
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Given that 1 acre and 4,840 square yards are equal areas

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
S
MasteringGMAT
Manager
Manager
Joined: 14 Feb 2022
Posts: 79
Own Kudos [?]: 741 [22]
Given Kudos: 69
Concentration: General Management, Strategy
Send PM
Given that 1 acre and 4,840 square yards are equal areas [#permalink] New post   02 Jul 2023, 05:46
22
Bookmarks
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

49% (02:39) correct 51% (02:40) wrong based on 203 sessions
Hide Show timer Statistics
Given that 1 acre and 4,840 square yards are equal areas, 1 rod and 5.5 yards are equal lengths, and 1 furlong and 40 rods are equal lengths, which of the following is closest to an area, in square furlongs, equal to 1 acre?

A. 0.05
B. 0.1
C. 1
D. 10
E. 22
ShowHide Answer
Official Answer
B
User avatar
L
gmatophobia
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3093
Own Kudos [?]: 4123 [1]
Given Kudos: 1851
Location: India
Concentration: Strategy, Leadership
Send PM
CAT Tests Forum Quiz Mode
Given that 1 acre and 4,840 square yards are equal areas [#permalink] New post   02 Jul 2023, 06:39
1
Bookmarks
MasteringGMAT wrote:
Given that 1 acre and 4,840 square yards are equal areas, 1 rod and 5.5 yards are equal lengths, and 1 furlong and 40 rods are equal lengths, which of the following is closest to an area, in square furlongs, equal to 1 acre?

A. 0.05
B. 0.1
C. 1
D. 10
E. 22


1 acre = 4840 yard^2 ------- (1)

1 rod = 5.5 yards ------- (2)

1 furlong = 40 rods ------- (3)

1 rod = 1/40 furlongs ------- (4)

Squaring equation (4)

1 rod^2 = 1/40 * 1/40 furlongs^2 ------- (5)

Squaring equation (2)

1 rod^2 = 5.5 * 5.5 yard^2 ------- (6)

Substituting the value of (5) in (6)

\(\frac{1}{40} * \frac{1}{40}\) furlongs^2 = 5.5 * 5.5 yard^2

From (1)

\(\frac{1}{4840}\) acre = 1 yard^2

Therefore

\(\frac{1}{40} * \frac{1}{40}\) furlongs^2 = \(5.5 * 5.5 * \frac{1}{4840}\) acre

1 acre = \(\frac{4840 }{ 5.5 * 5.5} * \frac{1}{40} * \frac{1}{40}\) furlongs ^2


Simplifying we get

1 acre = 0.1 furlong^2

Option B
User avatar
G
ankitgoswami
Manager
Manager
Joined: 20 Dec 2019
Posts: 106
Own Kudos [?]: 99 [0]
Given Kudos: 74
Send PM
Re: Given that 1 acre and 4,840 square yards are equal areas [#permalink] New post   02 Jul 2023, 07:15
1 rod = 5.5 yds

1 furlong = 40 rods
= 40 * 5.5 yds

So 1 yd = 1/(40*5.5)

1 sq yd = 1/(40*40*5.5*5.5)

1 acre = 4840 sq yd = 4840/(40*40*5.5*5.5)
= 0.1

Ans B

Posted from my mobile device
User avatar
B
Anki111
Manager
Manager
Joined: 06 Jan 2023
Posts: 78
Own Kudos [?]: 24 [1]
Given Kudos: 384
Send PM
Re: Given that 1 acre and 4,840 square yards are equal areas [#permalink] New post   03 Jul 2023, 00:50
1
Kudos
Tricky one as everyone will divide 4840 by 220 and get 22 due to time crunch. But if you read the stem carefully, it is square yard, so, 4840/220*220 and you will get the answer. GMAT is all about catching these small tricks.
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6282 [2]
Given Kudos: 1646
Send PM
Given that 1 acre and 4,840 square yards are equal areas [#permalink] New post   04 Jul 2023, 04:28
1
Kudos
1
Bookmarks
Expert Reply
MasteringGMAT wrote:
Given that 1 acre and 4,840 square yards are equal areas, 1 rod and 5.5 yards are equal lengths, and 1 furlong and 40 rods are equal lengths, which of the following is closest to an area, in square furlongs, equal to 1 acre?

A. 0.05
B. 0.1
C. 1
D. 10
E. 22


We need to determine the area in square furlongs.

To quickly solve such a unit conversion problem, we can simply multiply the corresponding unit conversion factors and the value to convert until all unnecessary units cancel out:

(1 fur²/40² rod²)(1 rod²/5.5² yd²)(4840 yd²/1 ac)(1 ac) =

4840/[(40²)(5.5²)] fur²

Since the answer choices are of different magnitudes, we can approximate the correct answer:

≈ 5000/(40 × 40 × 5 × 5) = 2/16 = 1/8 = 0.125 ≈ 0.1 fur²

Answer: B
GMAT Club Bot
gmatclubot
Given that 1 acre and 4,840 square yards are equal areas [#permalink]
04 Jul 2023, 04:28
Moderators:
Bunuel
Math Expert
92959 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions