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

 It is currently 21 Sep 2018, 18:38

### 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

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

# John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49300
John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s  [#permalink]

### Show Tags

14 Oct 2017, 02:23
00:00

Difficulty:

45% (medium)

Question Stats:

76% (01:23) correct 24% (01:34) wrong based on 72 sessions

### HideShow timer Statistics

John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight. Dave weighs 50% of Lee’s weight. Lee weighs 190% of John’s weight. Which of these 5 persons weighs the least?

(A) Bob
(B) Dave
(C) John
(D) Lee
(E) Marcia

_________________
Intern
Joined: 29 Aug 2017
Posts: 35
Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s  [#permalink]

### Show Tags

14 Oct 2017, 05:35
Bunuel wrote:
John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight. Dave weighs 50% of Lee’s weight. Lee weighs 190% of John’s weight. Which of these 5 persons weighs the least?

(A) Bob
(B) Dave
(C) John
(D) Lee
(E) Marcia

J = 2M
M = 3B/5, B = 5M/3
L = 1.9J = 3.8M
D = L/2 = 1.9M

Therefore, Marcia weighs the least.
Manager
Joined: 10 Jun 2016
Posts: 74
Location: India
Concentration: Operations, Strategy
GMAT 1: 710 Q48 V39
GPA: 3.3
WE: Project Management (Energy and Utilities)
Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s  [#permalink]

### Show Tags

14 Oct 2017, 06:01
1
Bunuel wrote:
John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight. Dave weighs 50% of Lee’s weight. Lee weighs 190% of John’s weight. Which of these 5 persons weighs the least?

(A) Bob
(B) Dave
(C) John
(D) Lee
(E) Marcia

John = J, Marcia = M, Lee = L, Dave = D, Bob = B.

Statement to Equation:
1) J=2M --> M=0.5J

2) M = 0.6B --> 0.5J=0.6B --> B=0.83J (B=5/6J)

3) D = 0.5L --> D=0.5(1.9J) --> D=0.95J

4) L=1.9J

Thus,

M=0.5J
B=0.83J
D=0.95J
L=1.9J

Thus, Marcia weighs the least.
_________________

"Success is a lousy teacher. It seduces smart people to think they can't lose" - Bill Gates.

Intern
Joined: 16 Sep 2016
Posts: 12
Location: India
GPA: 3.86
Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s  [#permalink]

### Show Tags

14 Oct 2017, 10:08
L = 1.9J
D = .95J
J = J
M = .5J
B = .83J
SVP
Joined: 26 Mar 2013
Posts: 1808
Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s  [#permalink]

### Show Tags

15 Oct 2017, 03:29
Bunuel wrote:
John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s weight. Dave weighs 50% of Lee’s weight. Lee weighs 190% of John’s weight. Which of these 5 persons weighs the least?

(A) Bob
(B) Dave
(C) John
(D) Lee
(E) Marcia

Let's plug quick numbers. Bon is my start. Let's Bob's weight = 100

M = 0.6B = 0.6 * 100 = 60

J=2M = 2 * 60 = 120

L=1.9J =1.9 * 120 = 240 (slightly less than 240)

D = 0.5L = 0.5 *240 =120 (slightly less than 120)

From all the above, it is clear that Marcia is the least weight

Director
Joined: 24 Nov 2015
Posts: 542
Location: United States (LA)
Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s  [#permalink]

### Show Tags

15 Oct 2017, 11:19
We have to consider the common link between the various comparisons and that would be weight of John
Let us consider the weight of John be x Weight of John = x
Marcia's weight is half of that of John so value is 0.5x Weight of Marcia = 0.5x
Bob's weight is 0.83x as Marcia's weight is 60% of weight of Bob Weight of Bob = 0.83x
Now we will consider the weight of Lee which is 1.90x Weight of Lee = 1.9x
As Dave weighs 50% of Lee, Dave's weight is 0.95x Weight of Dave = 0.95x

It can be clearly observed that value of weight of Marcia is the least and so the Correct answer - E
Re: John weighs twice as much as Marcia. Marcia’s weight is 60% of Bob’s &nbs [#permalink] 15 Oct 2017, 11:19
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.