Last visit was: 16 Jun 2024, 23:40 It is currently 16 Jun 2024, 23:40
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.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Date
Tags:
Difficulty: Sub 505 Level,    Roots,             
Show Tags
Hide Tags
User avatar
VP
VP
Joined: 06 Sep 2013
Posts: 1342
Own Kudos [?]: 2422 [30]
Given Kudos: 355
Concentration: Finance
Send PM
Most Helpful Reply
Math Expert
Joined: 02 Sep 2009
Posts: 93698
Own Kudos [?]: 632362 [12]
Given Kudos: 82304
Send PM
General Discussion
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6065
Own Kudos [?]: 4744 [1]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
Intern
Intern
Joined: 21 Aug 2020
Posts: 4
Own Kudos [?]: 4 [0]
Given Kudos: 9
Send PM
Re: (496)^(1/4) is between [#permalink]
16 square is 256 and 25 sqaure is 625 , so 496 must lie between 4 and 5 since it is a 4th square root.
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6814
Own Kudos [?]: 30567 [2]
Given Kudos: 799
Location: Canada
Send PM
Re: (496)^(1/4) is between [#permalink]
1
Kudos
1
Bookmarks
Expert Reply
Top Contributor
jlgdr wrote:
4th root of 496 is between

(A) 3 and 4
(B) 4 and 5
(C) 5 and 6
(D) 6 and 7
(E) 7 and 8


\(4^4 = 256\), so the 4th root of 256 equals 4
\(5^4 = 625\), so the 4th root of 625 equals 5

Since 496 lies BETWEEN 256 and 625, the fourth root of 496 must be between 4 and 5

Answer: B
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6065
Own Kudos [?]: 4744 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
Re: (496)^(1/4) is between [#permalink]
 
jlgdr wrote:
\(\sqrt[4]{496}\) is between

(A) 3 and 4
(B) 4 and 5
(C) 5 and 6
(D) 6 and 7
(E) 7 and 8

­Alternate approach using options , 

(A) 3^4 to 4^4 = 81 to 256 not possible as the no is 496 which is outside range
(B) 4^4 to 5^4 = 256 to 625 Possible.
(C) 5^4 and 6^4 = 625 to 1296 not possible as the no is 496 which is outside range
(D) 6^4 and 7^4 = 1296 to .......... not possible as the no is 496 which is outside range
(E) 7^4 and 7^4 = 2401 to .......... not possible as the no is 496 which is outside range

Answer must be (B)
GMAT Club Bot
Re: (496)^(1/4) is between [#permalink]
Moderator:
Math Expert
93698 posts