GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 23 Jan 2020, 15:16

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

The ratio of the area of a square mirror to its frame is 16 to 33. If

  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: 60627
The ratio of the area of a square mirror to its frame is 16 to 33. If  [#permalink]

Show Tags

New post 04 Nov 2019, 04:20
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

49% (01:54) correct 51% (03:22) wrong based on 35 sessions

HideShow timer Statistics

The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (c) around the mirror, which of the following could be the value, in inches, of c ?

I. 2
II. 3 1/2
III. 5

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II, and III


Are You Up For the Challenge: 700 Level Questions

_________________
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5723
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: The ratio of the area of a square mirror to its frame is 16 to 33. If  [#permalink]

Show Tags

New post 04 Nov 2019, 05:20
1
giving a try
ratio given
x^2/(x+2a)^2 = 16/33
solve for x & a
for each value of given a = 2,3.5 and 5
we can check for area of square which should be < the frame
IMO E ; is valid


Bunuel wrote:
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (c) around the mirror, which of the following could be the value, in inches, of c ?

I. 2
II. 3 1/2
III. 5

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II, and III


Are You Up For the Challenge: 700 Level Questions
VP
VP
avatar
V
Joined: 20 Jul 2017
Posts: 1256
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: The ratio of the area of a square mirror to its frame is 16 to 33. If  [#permalink]

Show Tags

New post 04 Nov 2019, 10:10
2
Bunuel wrote:
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (c) around the mirror, which of the following could be the value, in inches, of c ?

I. 2
II. 3 1/2
III. 5

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II, and III


Are You Up For the Challenge: 700 Level Questions


Since ratio of area of mirror to frame = 16/33
Let the area of mirror = 16*k^2
—> Area of mirror + frame = 33k^2 + 16k^2 = 49k^2
—> Side of mirror = 4k
Side of mirror + frame = 7k
—> 4k + 2c = 7k
—> 2c = 3k
—> c = 3/2k

We can get all the values 2, 3 1/2 & 5 of c for certain values of k

IMO Option E

Posted from my mobile device
GMAT Club Bot
Re: The ratio of the area of a square mirror to its frame is 16 to 33. If   [#permalink] 04 Nov 2019, 10:10
Display posts from previous: Sort by

The ratio of the area of a square mirror to its frame is 16 to 33. If

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





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