Last visit was: 30 Apr 2026, 12:27 It is currently 30 Apr 2026, 12:27
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 30 Apr 2026
Posts: 110,017
Own Kudos:
812,147
 [6]
Given Kudos: 105,962
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,017
Kudos: 812,147
 [6]
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 30 Apr 2026
Posts: 6,991
Own Kudos:
16,941
 [2]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,991
Kudos: 16,941
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
jfranciscocuencag
Joined: 12 Sep 2017
Last visit: 17 Aug 2024
Posts: 227
Own Kudos:
Given Kudos: 132
Posts: 227
Kudos: 144
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Ypsychotic
Joined: 24 Nov 2018
Last visit: 25 May 2020
Posts: 83
Own Kudos:
Given Kudos: 52
Location: India
GPA: 3.27
WE:General Management (Retail Banking)
Posts: 83
Kudos: 80
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Let the function h be defined by \(h(x) = \sqrt{x} + 2\). If \(3h(v) = 18\), then which one of the following is the value of \(h(\frac{v}{4})\) ?

(A) –4
(B) –1
(C) 0
(D) 2
(E) 4
\(3h(v) = 18\)
\(h(v) = 6\)
\(h(v)=\sqrt{v}+2=6\)
\(v=16\)
\(h(\frac{v}{4})\)
\(h(\frac{v}{4})=h(16/4)=\sqrt{\frac{16}{4}}+2=\sqrt{4}+2=2+2=4\)
imo, Option E.
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 30 Apr 2026
Posts: 6,991
Own Kudos:
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,991
Kudos: 16,941
Kudos
Add Kudos
Bookmarks
Bookmark this Post
jfranciscocuencag
Hello GMATinsight!

Why should we have to equal f(x) with f(v)?

I was doing it as follows:

\(h(x) = \sqrt{x} + 2\)

\(h(v) = 18/3 = 6\)

\(h(\frac{6}{4}) = \frac{3}{2}\)

So

\(h(x) = \sqrt{\frac{3}{2}} + 2\)

And then the result would be:

\(\sqrt{6} + 4\)

I am confused =/

jfranciscocuencag

\(h(v) = 6\) does NOT mean \(v = 6\)

Highlighted part above is your mistake
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 30 Apr 2026
Posts: 22,305
Own Kudos:
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,305
Kudos: 26,557
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Let the function h be defined by \(h(x) = \sqrt{x} + 2\). If \(3h(v) = 18\), then which one of the following is the value of \(h(\frac{v}{4})\) ?

(A) –4
(B) –1
(C) 0
(D) 2
(E) 4

Since 3h(v) = 18, h(v) = 6. From the definition of the function h, we obtain:

h(v) = √v + 2 = 6.

Therefore, √v = 4 and v = 16. Now,

h(v/4) = h(16/4) = h(4) = √4 + 2 = 4.

Answer: E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,011
Own Kudos:
Posts: 39,011
Kudos: 1,122
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.
Moderators:
Math Expert
110017 posts
Tuck School Moderator
852 posts