Aptitude - A ball falls from a height of 8ft ,bounces back to half the distance & continues till it c

GeekInterview.com > Placement Papers > IBM > Aptitude

Go To First | Previous Question | Next Question

Aptitude | Question 25 of 124

A ball falls from a height of 8ft ,bounces back to half the distance & continues till it comes to rest. what is the total distance traveled by the ball?

(a)24ft

(b)48 ft.

(c)infinite

(d)cannot be determined

Total Answers and Comments: 7

Last Update: December 18, 2008

Sponsored Links

Best Rated Answer

—

Submitted by: Bhoomika sharma

Yes,it is easier to do by series progg method. according to this,if we have the first term as 8 ft and then as the ball bounces bak and so the series is obtained as:

8+(4+4+2+2+1+1+0.5+0.5+and so-on)
thus an infinite gp is formed with

(4+2+1+0.5+..)

=> 4/(1-1/2)=8
so 2(sum)=2*8=16+8=24

is the final answer.

Above answer was rated as good by the following members:
hema7

July 17, 2005 13:22:28

nmodi

RE: A ball falls from a height of 8ft ,bounces back to half the distance & continues till it c...

Ans. d
8+4+2+1+0.5+0.25+0.125+0.0625+....
total distance would be approx 16ft but cannot be exactly determined. Hence d.