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

 It is currently 07 Apr 2020, 09:59

### 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

# After an ice began to melt out from the freezer, in the first hour los

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

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8781
GMAT 1: 760 Q51 V42
GPA: 3.82
After an ice began to melt out from the freezer, in the first hour los  [#permalink]

### Show Tags

09 May 2016, 19:50
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:49) correct 21% (02:40) wrong based on 49 sessions

### HideShow timer Statistics

After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.5 cubic inches, what is the original volume of the cubic ice, in cubic inches?

A. 2.5
B. 3.0
C. 4.0
D. 6.5
E. 8.0

* A solution will be posted in two days.

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Marshall & McDonough Moderator Joined: 13 Apr 2015 Posts: 1680 Location: India Re: After an ice began to melt out from the freezer, in the first hour los [#permalink] ### Show Tags 09 May 2016, 20:30 Let initial volume of ice be = x Ice Remaining after 1 hour = x - 0.75x = 0.25x Ice Remaining after 2 hour = (1/4)x - (3/4 * 1/4 * x) = (1/16)x (1/16)x = 0.5 x = 8 Alternate solution: Try to backsolve. Initial volume = 8 After one hour --> (1/4)8 = 2 After two hours --> (1/4)2 = 0.5 Answer: E Manager Status: One Last Shot !!! Joined: 04 May 2014 Posts: 223 Location: India Concentration: Marketing, Social Entrepreneurship GMAT 1: 630 Q44 V32 GMAT 2: 680 Q47 V35 Re: After an ice began to melt out from the freezer, in the first hour los [#permalink] ### Show Tags 09 May 2016, 20:32 Let total volume be x initially. At the end of 1st hr Lost: $$\frac{3}{4} x$$ Remaining: $$x - \frac{3}{4} x = \frac{1}{4} x$$ At the end of 2nd hr Lost: $$\frac{3}{4} * \frac{x}{4} = \frac{3x}{16}$$ Remaining: $$\frac{x}{4} - \frac{3x}{16} = \frac{x}{16}$$ Now, we are givn that remaining after 2 hours is 0.5 cubic inches Therefore, $$\frac{x}{16} = 0.5$$ => $$x = 8$$ cubic inches Option E Math Expert Joined: 02 Aug 2009 Posts: 8314 Re: After an ice began to melt out from the freezer, in the first hour los [#permalink] ### Show Tags 09 May 2016, 21:05 MathRevolution wrote: After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.5 cubic inches, what is the original volume of the cubic ice, in cubic inches? A. 2.5 B. 3.0 C. 4.0 D. 6.5 E. 8.0 * A solution will be posted in two days. Hi, another way avoiding a bit of calculations is visualization-- after 2 hrs, it is 0.5 = 1/4 of X, where X is at the beginning of 2nd hour, So at the beginning of 2nd hour = 0.5 *4=2.. And similarily in the beginning of 1st hour = 2*4 = 8 _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8781 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: After an ice began to melt out from the freezer, in the first hour los [#permalink] ### Show Tags 11 May 2016, 19:05 If we consider the original volume of an ice to be x, then we get x(1-3/4)(1-3/4)=0.5. From this, we get x(1/4)(1/4)=0.5. So, x=8. The correct answer is E. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Re: After an ice began to melt out from the freezer, in the first hour los   [#permalink] 11 May 2016, 19:05
Display posts from previous: Sort by

# After an ice began to melt out from the freezer, in the first hour los

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

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