Ascent Education - IIM, CAT, MBA Entrance Training Classes
TSD - Problems
Goto page Previous  1, 2
 
Post new topic   Reply to topic    IIM CAT MBA Forum Index -> MBA Entrance Math - Quant Doubts
Author Message
CZ@@@H@@@R
Serious about CAT


Joined: 14 Jan 2006
Posts: 64

PostPosted: Fri Feb 24, 2006 10:00 pm    Post subject: Fusion Reply with quote

Thanx,

(D) Due to modernization, Speed of the Express has grown up in last 4 years by 10, 15, 20 and 25 km/hr. What is the annual average growth of speed (km/hr)

(Ans) Arithmetic Mean = 17.5 km/hr

(E) Due to modernization, Speed of the Express has grown in last 4 years by 10 %, 15 %, 20 % and 25 %. What is the annual average growth of speed ( % ).

(Ans) Geometric Mean (Growth factors) = 17.3668 %

There is a close connection between the two means. The log of the geometric mean of a set of speeds is the arithmetic mean of the logs of the speeds.
Back to top
banter



Joined: 19 Mar 2006
Posts: 18

PostPosted: Sun Mar 19, 2006 3:00 am    Post subject: Re: Fusion Reply with quote

[
(E) Due to modernization, Speed of the Express has grown in last 4 years by 10 %, 15 %, 20 % and 25 %. What is the annual average growth of speed ( % ).

(Ans) Geometric Mean (Growth factors) = 17.3668 %

--------------------------------------------------------

Geometric Mean (Growth factors) = 16.5488 %
Back to top
CZ@@@H@@@R
Serious about CAT


Joined: 14 Jan 2006
Posts: 64

PostPosted: Mon Mar 20, 2006 8:21 pm    Post subject: TSD Reply with quote

banter wrote:

(E) Due to modernization, Speed of the Express has grown in last 4 years by 10 %, 15 %, 20 % and 25 %. What is the annual average growth of speed ( % ).

(Ans) Geometric Mean (Growth factors) = 17.3668 %

--------------------------------------------------------

Geometric Mean (Growth factors) = 16.5488 %


If speed grows by 10 %, Take a Factor = 1.10 and so on...

Taking these Factors & using geometric mean makes a valid sense.


Hence (Ans) Geometric Mean (Factors) = 17.3668 %
Back to top
Display posts from previous:   
Post new topic   Reply to topic    IIM CAT MBA Forum Index -> MBA Entrance Math - Quant Doubts All times are GMT + 5.5 Hours
Goto page Previous  1, 2
Page 2 of 2

 


Powered by phpBB © 2001, 2005 phpBB Group