NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 00:36 It is currently 25 Apr 2024, 00:36
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

A consulting firm uses a Trenchard score to help companies determine

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618870 [3]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
A consulting firm uses a Trenchard score to help companies determine [#permalink] New post   25 Jul 2017, 22:38
1
Kudos
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

63% (01:37) correct 37% (01:35) wrong based on 133 sessions
Hide Show timer Statistics
A consulting firm uses a Trenchard score to help companies determine which computer tasks work best together in parallel. The Trenchard score is calculated by determining the number of nanoseconds a task takes for each of two processes, then calculating the difference between the reciprocals of those times. The reciprocal of that difference is the Trenchard score. What would be the Trenchard score for tasks that take a and b nanoseconds, respectively, where b>a?

A. a−b

B. ab/(a−b)

C. ab/(b−a)

D. (a−b)/(ab)

E. (b−a)/(ab)
ShowHide Answer
Official Answer
C
User avatar
L
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 2873
Own Kudos [?]: 5205 [2]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
A consulting firm uses a Trenchard score to help companies determine [#permalink] New post   25 Jul 2017, 22:51
1
Kudos
1
Bookmarks
Trenchard score: Reciprocal of the difference of the reciprocals of times taken to complete a task

If we have time taken as T1 and T2,

Trechard score can be calculated as follows :
Step 1 : Difference in reciprocal of their times : \(\frac{1}{T1} - \frac{1}{T2} = \frac{(T2 - T1)}{(T1*T2)}\)
Step 2 : Reciprocal of difference in reciprocal of times : \(\frac{(T1*T2)}{(T2 - T1)}\)

Given data: Tasks take a and b nanoseconds respectively, with b>a

Substituting these values into the formula, the Trenchard score is \(\frac{a*b}{b-a}\) (Option C)
User avatar
P
sahilvijay
Senior Manager
Senior Manager
Joined: 29 Jun 2017
Posts: 312
Own Kudos [?]: 798 [0]
Given Kudos: 76
GPA: 4
WE:Engineering (Transportation)
Send PM
GMAT ToolKit User Reviews Badge
Re: A consulting firm uses a Trenchard score to help companies determine [#permalink] New post   08 Sep 2017, 02:32
Ans is C:

a nano secs and b nano secs

so first difference between the reciprocals

D = 1/a- 1/b
D= (b-a) /ab

Reciprocal of difference = R = 1/D => ab/(b-a)

Trenchard Score is Reciprocal = ab/(b-a)
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22050 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: A consulting firm uses a Trenchard score to help companies determine [#permalink] New post   11 Sep 2017, 16:00
Expert Reply
Bunuel wrote:
A consulting firm uses a Trenchard score to help companies determine which computer tasks work best together in parallel. The Trenchard score is calculated by determining the number of nanoseconds a task takes for each of two processes, then calculating the difference between the reciprocals of those times. The reciprocal of that difference is the Trenchard score. What would be the Trenchard score for tasks that take a and b nanoseconds, respectively, where b>a?

A. a−b

B. ab/(a−b)

C. ab/(b−a)

D. (a−b)/(ab)

E. (b−a)/(ab)


First, let’s calculate the difference between the reciprocals of the times:

1/a - 1/b = b/(ab) - a/(ab) = (b - a)/(ab)

Notice that since b > a, 1/a > 1/b (so we use 1/a - 1/b instead of 1/b - 1/a). Next, we can calculate the Trenchard score as follows:

1/[(b - a)/(ab)] = (ab)/(b - a)

Answer: C
avatar
B
devanshu92
Intern
Intern
Joined: 24 Jul 2017
Posts: 29
Own Kudos [?]: 65 [0]
Given Kudos: 38
Location: India
WE:Information Technology (Computer Software)
Send PM
Re: A consulting firm uses a Trenchard score to help companies determine [#permalink] New post   12 Sep 2017, 03:47
Trenchard score = reciprocal of the difference of the reciprocals of two times
Given that two times are 'a' and 'b' where b>a

Hence, 1/a > 1/b
---> Reciprocal(1/a - 1/b) = Reciprocal{(b-a)/ab} = ab/(b-a)
User avatar
B
gmat800live
Intern
Intern
Joined: 06 Sep 2018
Posts: 35
Own Kudos [?]: 7 [0]
Given Kudos: 22
GMAT 1: 740 Q48 V44
GMAT 2: 760 Q50 V44
Send PM
Reviews Badge
Re: A consulting firm uses a Trenchard score to help companies determine [#permalink] New post   02 Oct 2018, 15:11
Hello! Where is it mentioned that the score can't be negative? I mean, couldn't the Trenchard score be a negative value? Although I did it instinctively I really don't understand why we need to perform the calculations on that order... If anyone could help I'd be grateful!
GMAT Club Bot
gmatclubot
Re: A consulting firm uses a Trenchard score to help companies determine [#permalink]
02 Oct 2018, 15:11
Moderators:
Bunuel
Math Expert
92901 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions