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Posts: 76
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Question Stats:
60% (02:43) correct
40%
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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
A. 0.05
B. 0.1
C. 1
D. 10
E. 22
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KhushiWGupta
Joined: 19 Nov 2023
Last visit: 07 Feb 2026
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GMAT 1: 680 Q49 V55
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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. IMPORANT IN GMAT to catch these small tricks.
General Discussion
gmatophobia
Quant Chat Moderator
Joined: 22 Dec 2016
Last visit: 09 Sep 2026
Posts: 3,174
Location: India
Concentration: Strategy, Leadership
Posts: 3,174
MasteringGMAT
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
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Power of Tiny Gains
1.01^(365) = 37.78
0.99^(365) = 0.03
Power of Tiny Gains
1.01^(365) = 37.78
0.99^(365) = 0.03
Posts: 87
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
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
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.
JeffTargetTestPrep
Expert
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
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Affiliations: Target Test Prep
Expert reply
Posts: 2,973
MasteringGMAT
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
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MasteringGMAT
For units conversion, simply keep plugging in the units. Check the discussion here first: https://anaprep.com/arithmetic-unit-conversion/
We will do the same thing here:
\(1 \text{ }acre = 4840 \text{ } yard^2 = 4840\text{ } yard * yard\)
1 rod = 5.5 yards which means 1 yard = 1/5.5 rods. So put this value in place of each yard.
\(1 \text{ }acre = 4840 * \frac{1}{5.5} * \frac{1}{5.5} \text{ }rod * rod\)
1 furlong = 40 rods which means 1 rod = 1/40 furlong. So put this value in place of each rod.
\(1 \text{ }acre = 4840 * \frac{1}{5.5} * \frac{1}{5.5} * \frac{1}{40} * \frac{1}{40} \text{ }furlong*furlong\)
Now for this calculation, simply approximate. 40 cancels 4840 so we have 121 which is about 3 times 40. Also, 5.5*5.5 is 30.25. So we get 3/30 approx which is 0.1
Answer (B)
Here is a video on how to estimate: https://youtu.be/4Wy7BrQrjkM
Here is a video on orally squaring numbers ending in 5: https://youtube.com/shorts/mZh5VayNNck
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SudsMeister
Joined: 04 Sep 2019
Last visit: 29 Dec 2025
Posts: 86
Location: India
Concentration: Finance, Sustainability
GMAT Focus 1: 705 Q89 V85 DI81 
GMAT 1: 750 Q50 V42
GPA: 79.3%
WE:Education (Energy)
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?
Need to find how many F square = 1 acre?
We are already given 1 acre = 4840 square yards.
If we convert 1 F square into square yards, we can get a relation between F square and acre.
1 F length = 40 rods.
1 rod = 5.5 yards.
So, 1 F length = 5.5 * 40 yards = 220 yards.
1 F square = 220 yards * 220 yards = 48400 square yards = 10 acres.
If 10 acres = 1 F square,
then 1 acre = \(\frac{1}{10}\) F square = 0.1 F square
Answer B.
Posts: 145
4840 = 44*110 = 40*5.5*5.5*2*2
= 160* rod^2
Now similarly 1 furlong square is 40*40 = 1600 rod^2
Now 1 acre is just 0.1- eye ballparking ---- Option B
= 160* rod^2
Now similarly 1 furlong square is 40*40 = 1600 rod^2
Now 1 acre is just 0.1- eye ballparking ---- Option B
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