GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2019, 21:34

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

A doctor prescribed 18 cubic centimeters of a certain drug to a patien

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58469
A doctor prescribed 18 cubic centimeters of a certain drug to a patien  [#permalink]

Show Tags

New post 28 Jun 2017, 02:06
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

78% (01:22) correct 22% (02:12) wrong based on 42 sessions

HideShow timer Statistics

A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8

_________________
Senior Manager
Senior Manager
avatar
G
Joined: 28 May 2017
Posts: 281
Concentration: Finance, General Management
A doctor prescribed 18 cubic centimeters of a certain drug to a patien  [#permalink]

Show Tags

New post 28 Jun 2017, 03:36
Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8


Idea dosage for 120 pound weight = 120 * 2/15 = 16 cc
Dosage recommended earlier = 18 cc
Reduction = 2cc

Kindly note that 2cc need to be removed from 18 cc and not 16 cc
Reduction = 2/18 = 1/9

Answer C
_________________
If you like the post, show appreciation by pressing Kudos button
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 742
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien  [#permalink]

Show Tags

New post 28 Jun 2017, 05:07
Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8


Typical dosage is \(2\) cubic centimeters per \(15\) pounds \(= \frac{2}{15}\)

Let the typical dosage be \(x\) cubic centimeters for \(120\) pounds \(= \frac{x}{120}\)

\(\frac{2}{15} =\frac{x}{120}\)

\(x = \frac{2*120}{15} = 16\)

Therefore typical dosage for \(120\) pounds is \(16\) cubic centimeters.

Doctor prescribed \(18\) cubic centimeters for \(120\) pounds.

Difference \(= 18 - 16 = 2\)

We need to find the difference ie; \(2\) is what percentage of the dosage doctor has prescribed \(18\).

Required percent \(= \frac{2}{18} * 100 = 11.1\) . Answer (C)...
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3332
Location: India
GPA: 3.12
Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien  [#permalink]

Show Tags

New post 28 Jun 2017, 06:45
Given data :
Doctor prescribes 18cc for 120pounds body weight (18:120 = 3:20)
Ideal dosage is 2cc : 15pounds.

3:20 is nothing but \(3*\frac{3}{4} : 20*\frac{3}{4}\) = 2.25cc : 15 pounds

So the dosage(2.25cc) must be reduced by .25cc to bring it down to 2cc,

making percent change : \(\frac{.25cc}{2.25cc}= \frac{1}{9}\) = 11.11%(Option C)
_________________
You've got what it takes, but it will take everything you've got
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4784
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
A doctor prescribed 18 cubic centimeters of a certain drug to a patien  [#permalink]

Show Tags

New post 28 Jun 2017, 09:05
Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8


Quote:
If the typical dosage is 2 cubic centimeters per 15 pounds of body weight


So, 1 pound requires \(\frac{2}{15}\) cc
Or, 120 pound requires \(\frac{2}{15}*180\) cc = \(16\) cc

The doc gave 18 cc, and the patient needs 16 cc

Thus, the doc must reduce dosage by 2 cc

So, the percentage reduction required is \(\frac{2}{18} *100= 11.11\) %

Hence, the correct answer must be (C) 11.11 %
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Retired Moderator
User avatar
P
Joined: 19 Mar 2014
Posts: 921
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
GMAT ToolKit User
Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien  [#permalink]

Show Tags

New post 29 Jun 2017, 01:56
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

18 cubic centimeters =====> 120 pounds

Typical Dosage = 2 cubic centimeters =====> 15 pounds

120 Pounds Typical dosage \(= \frac{120}{15} * 2\)

\(= 8 * 2\)

\(= 16\)

Total dosage administered \(= 18\)

Additional dosage \(= 18 - 16\) \(= 2\)

What % should be reduced? \(= \frac{2}{18} * 100 = 100/9 = 11.1\)

Hence, Answer is C
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8147
Location: United States (CA)
Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien  [#permalink]

Show Tags

New post 30 Jun 2017, 09:22
Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8


We are given that the typical rate is (2 cm^3)/(15 lbs). Thus a patient whose weight was 120 lbs should be prescribed 120 lbs x (2 cm^3)/(15 lbs) = 240/15 = 16 cm^3 of the drug.

However, since a doctor prescribed 18 cm^3 of the drug, we can let n = the percentage decrease needed and create the following equation:

18(1 - n/100) = 16

1 - n/100 = 16/18

2/18 = n/100

18n = 200

n = 11.11

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien   [#permalink] 30 Jun 2017, 09:22
Display posts from previous: Sort by

A doctor prescribed 18 cubic centimeters of a certain drug to a patien

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne