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

It is currently 14 Dec 2019, 05:27

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

A computer can solve a particular type of problem in an amount of time

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

Hide Tags

Find Similar Topics 
Intern
Intern
User avatar
B
Joined: 05 Mar 2017
Posts: 6
A computer can solve a particular type of problem in an amount of time  [#permalink]

Show Tags

New post 26 Aug 2017, 13:41
1
8
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

43% (03:07) correct 57% (03:02) wrong based on 61 sessions

HideShow timer Statistics

A computer can solve a particular type of problem in an amount of time proportional to the cube of the number of elements in the problem. Problems whose data are compressed must first be run through a decompression algorithm, which takes time directly proportional to the number of elements in the problem. If the computer can solve a compressed 100-element problem in 1 minute 40 seconds, 20 percent of which is spent on decompression, how much time will the computer take to solve a compressed 200-element problem?

A.) 3 minutes
B.) 3 minutes 20 seconds
C.) 10 minutes 40 seconds
D.) 11 minutes 20 seconds
E.) 13 minutes 20 seconds
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8318
Re: A computer can solve a particular type of problem in an amount of time  [#permalink]

Show Tags

New post 27 Aug 2017, 02:09
1
1
brettbrettbrettcom wrote:
A computer can solve a particular type of problem in an amount of time proportional to the cube of the number of elements in the problem. Problems whose data are compressed must first be run through a decompression algorithm, which takes time directly proportional to the number of elements in the problem. If the computer can solve a compressed 100-element problem in 1 minute 40 seconds, 20 percent of which is spent on decompression, how much time will the computer take to solve a compressed 200-element problem?

A.) 3 minutes
B.) 3 minutes 20 seconds
C.) 10 minutes 40 seconds
D.) 11 minutes 20 seconds
E.) 13 minutes 20 seconds


hi..
it may seem to be complicated because of the length of Q and the data involved but break it down in pieces..

Quote:
A computer can solve a particular type of problem in an amount of time proportional to the cube of the number of elements in the problem.

\(T_1=k_1*n^3\) where T is time, k is constant and n is number of element

Quote:
Problems whose data are compressed must first be run through a decompression algorithm, which takes time directly proportional to the number of elements in the problem.

\(T_2=k_2*n\) where T is time, k is constant and n is number of element

and \(T=T_1+T_2\)

(1) 100 elements..
T = 1 min 40 sec=100 sec, \(T_1=100*0.8=80......T_2=20\)
\(T_1=k_1*n^3......80=k_1*100^3........k_1=\frac{80}{100^3}\)
\(T_2=k_2*n........20=k_2*100......k_2=\frac{1}{5}\)

now find for 200 elements after finding values of CONSTANT

(2) 200 elements
\(k_1=\frac{80}{100^3}......k_2=\frac{1}{5}\)
\(T_1=k_1*n^3=\frac{80}{100^3}*200^3=\frac{80}{100^3}*2^3*100^3=80*8=640\)
\(T_2=k_2*n=\frac{1}{5}*200=40\)
T=640+40=680 secs = 11 min 20secs

D
_________________
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13739
Re: A computer can solve a particular type of problem in an amount of time  [#permalink]

Show Tags

New post 08 Apr 2019, 16:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: A computer can solve a particular type of problem in an amount of time   [#permalink] 08 Apr 2019, 16:07
Display posts from previous: Sort by

A computer can solve a particular type of problem in an amount of time

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





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