Last visit was: 09 Jun 2026, 11:16 It is currently 09 Jun 2026, 11:16
Home
Messages
MBA Fair
Tests
Schools
Events
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
Back to Forum
Create Topic
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
36,724
 [8]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,724
 [8]
∛(328 - 800 - 48) is 04 Nov 2016, 07:44
2
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
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:

64% (01:54) correct 36% (01:52) wrong based on 391 sessions

History

Date
Time
Result
Not Attempted Yet
∛(328 - 800 - 48) is

A) Between -4 and -5
B) Between -5 and -6
C) Between -6 and -7
D) Between -7 and -8
E) Less than -8

There are a few different ways to solve this one.
*Kudos for all correct solutions
ShowHide Answer
Official Answer
E
Every tricky question should trigger a follow up quiz. Build that habit with GMAT Club Forum Quiz →.
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,895
Own Kudos:
5,482
 [2]
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,895
Kudos: 5,482
 [2]
∛(328 - 800 - 48) is 04 Nov 2016, 08:07
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
GMATPrepNow
∛(328 - 800 - 48) is

A) Between -4 and -5
B) Between -5 and -6
C) Between -6 and -7
D) Between -7 and -8
E) Less than -8

There are a few different ways to solve this one.
*Kudos for all correct solutions
Show more


\(∛(328 - 800 - 48) = ∛(-520)\)

Now, \(-8^3 = -512\)

Think of a number line -520 will lie to the left of -512...

Hence, Answer will be (E)..
User avatar
AnisMURR
User avatar
Joined: 02 Aug 2014
Last visit: 01 Apr 2026
Posts: 80
Own Kudos:
265
 [1]
Given Kudos: 22
Status:Quant Expert Q51
Posts: 80
Kudos: 265
 [1]
∛(328 - 800 - 48) is 04 Nov 2016, 08:11
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Here is a detailed answer,

Please don't hesitate if you have any question.

Anis
Attachments

14958359_10154583534170126_529946755_n.jpg
14958359_10154583534170126_529946755_n.jpg [ 104.56 KiB | Viewed 7332 times ]

User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 31 Oct 2025
Posts: 6,733
Own Kudos:
36,724
 [2]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,733
Kudos: 36,724
 [2]
∛(328 - 800 - 48) is Updated on: 21 Sep 2021, 17:56
Originally posted by BrentGMATPrepNow on 04 Nov 2016, 11:06.
Last edited by BrentGMATPrepNow on 21 Sep 2021, 17:56, edited 1 time in total.
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
GMATPrepNow
∛(328 - 800 - 48) is

A) Between -4 and -5
B) Between -5 and -6
C) Between -6 and -7
D) Between -7 and -8
E) Less than -8
Show more

Another approach is to use a nice rule that says ∛(ab) = (∛a)(∛b)
We'll also recognize that we can factor out an 8 (and we happens to know that ∛8 = 2)


We get: ∛(328 - 800 - 48) = ∛[8(41 - 100 - 6)
= ∛[(8)(-65)]
= (∛8)(∛-65) [once we apply the above rule]
= (2)(∛-65)

Hmmm, what about (∛-65)?

Well we know that (∛-64) = -4
And we know that (∛-125) = -5
Since -65 lies BETWEEN -64 and -125, we know that (∛-65) lies between -4 and -5
So, let's say that (∛-65) = -4.something

This means that (2)(∛-65) = (2)(-4.something) = some number that's LESS THAN -8

Answer: E
User avatar
aroon31400
User avatar
Joined: 22 Dec 2014
Last visit: 28 Dec 2017
Posts: 29
Own Kudos:
5
 [1]
Given Kudos: 15
Location: India
Schools: Rotman '19 (S) ISB '18 Broad '19 (A$) Desautels '19 (A$) Schulich Sept"19 (S) Sauder 'Dec 18 (S)
GMAT 1: 710 Q49 V38
GPA: 3.9
Products:
My Reviews
Schools: Rotman '19 (S) ISB '18 Broad '19 (A$) Desautels '19 (A$) Schulich Sept"19 (S) Sauder 'Dec 18 (S)
GMAT 1: 710 Q49 V38
Posts: 29
Kudos: 5
 [1]
∛(328 - 800 - 48) is 04 Nov 2016, 11:11
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
\sqrt{(328 - 800 - 48} = \sqrt{-520}

since -8^3 = -512

\sqrt{-520} is less than \sqrt{- 8}

hence E
User avatar
damybox
User avatar
Joined: 18 Sep 2016
Last visit: 18 Dec 2016
Posts: 36
Own Kudos:
43
 [1]
Given Kudos: 97
Posts: 36
Kudos: 43
 [1]
∛(328 - 800 - 48) is 05 Nov 2016, 11:53
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATPrepNow
∛(328 - 800 - 48) is

A) Between -4 and -5
B) Between -5 and -6
C) Between -6 and -7
D) Between -7 and -8
E) Less than -8

There are a few different ways to solve this one.
*Kudos for all correct solutions
Show more

\(∛(328 - 800 - 48)\)= ∛(-520)

the prime factorization of 520 is \(2^4*5*7\)

therefore the expression is equal to \(-2*∛(2*5*7)= -2*∛70\)

as 70 is very close to 64 which is 4^3 the value of ∛70 is a little bit higher than 4

therefore \(∛(328 - 800 - 48)>-2*4\)\(=-8\)

ANSWER E
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
8,775
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,775
∛(328 - 800 - 48) is 07 Nov 2016, 17:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATPrepNow
∛(328 - 800 - 48) is

A) Between -4 and -5
B) Between -5 and -6
C) Between -6 and -7
D) Between -7 and -8
E) Less than -8

Show more

We can start by combining the values in the parenthesis:

∛(328 - 800 - 48) = ∛-520

Since 8^3 = 512 and 9^3 = 729, (-8)^3 = -512 and (-9)^3 = -729. Since -520 is between -729 and -512, ∛-520 is between -9 and -8, and thus ∛-520 is less than -8.

Answer: E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,199
Own Kudos:
1,129
Posts: 39,199
Kudos: 1,129
∛(328 - 800 - 48) is 12 Jun 2023, 00:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Bunuel
Math Expert
111155 posts